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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" article-type="research-article" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">SDQ</journal-id><journal-title-group><journal-title>Security &amp; Defence Quarterly</journal-title><abbrev-journal-title>SDQ</abbrev-journal-title></journal-title-group><issn pub-type="epub">2544-994X</issn><issn pub-type="ppub">2300-8741</issn><publisher><publisher-name>Akademia Sztuki Wojennej</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">SDQ-40-00213</article-id><article-id pub-id-type="doi">10.35467/sdq/152548</article-id><article-categories><subj-group subj-group-type="heading"><subject>RESEARCH PAPER</subject></subj-group></article-categories><title-group><article-title>High power wireless power transfer for the future of the battlefield challenges</article-title></title-group><contrib-group content-type="authors"><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8770-9420</contrib-id><name><surname>Chaari</surname><given-names>Mohamed Zied</given-names></name><xref ref-type="aff" rid="aff1">1</xref><email>chaari_zied@yahoo.fr</email></contrib><contrib contrib-type="author"><name><surname>Al-Rahimi</surname><given-names>Rashid</given-names></name><xref ref-type="aff" rid="aff1">1</xref></contrib><contrib contrib-type="author"><name><surname>Aghzout</surname><given-names>Otman</given-names></name><xref ref-type="aff" rid="aff2">2</xref></contrib><aff id="aff1"><label>1</label>Fab-Lab, Qatar scientific club, street 669 Zone 56, 9769, AL-Mamoura, Qatar</aff><aff id="aff2"><label>2</label>Department of Computer Science Engineering, University of Abdelmalek Essaadi, BP-2222- Mhannech II, Morocco</aff></contrib-group><pub-date pub-type="epub"><day>02</day><month>09</month><year>2022</year></pub-date><volume>40</volume><issue>4</issue><fpage>1</fpage><lpage>18</lpage><history><date date-type="received"><day>24</day><month>03</month><year>2022</year></date><date date-type="rev-recd"><day>13</day><month>07</month><year>2022</year></date><date date-type="accepted"><day>01</day><month>08</month><year>2022</year></date></history><permissions><copyright-statement>© 2022 M.Z. Chaari, R. Al-Rahimi, O. Aghzout published by War Studies University, Poland.</copyright-statement><copyright-year>2022</copyright-year><license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0"><license-p>This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (<ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">http://creativecommons.org/licenses/by/4.0/</ext-link>).</license-p></license></permissions><abstract><p>A significant challenge for the military lab is to reduce the weight of a combatant’s battery on the battlefield. Soldiers use electronic devices powered by wearable batteries in landings, operational combat with the enemy, and defensive exercises. Soldiers should always fully charge their wearable batteries before carrying them. The average weight of the battery is approximately 20 kilograms. During military operations, fighters have numerous electronic devices, such as night-vision goggles, headphones, LMR, navigation systems, VHF radios, and sensors. There is a high probability that fighters will lose their lives if the battery they take is uncharged or empty. Many research studies have tried to increase fighting time and maintain soldier life and links based on these devices. In this work, a wireless power transmission system with an RF microwave station and RF/DC converter circuit incorporated into a bulletproof vest will be designed. This system can harvest RF microwave energy to recharge or energize the wearable battery during a military operation. The challenge here is to develop a compact device that can capture the maximum RF strength to charge batteries carried by soldiers. The proposed device therefore considers all parameters to provide sufficient energy to power a computer at 13 watts. The strength of the RF power varies with the distance between the microwave power station Pin = 100 W and the receiver circuit.</p></abstract><kwd-group><kwd>Antenna</kwd><kwd>high power wireless power transfer</kwd><kwd>battlefield</kwd><kwd>RF-DC rectifier</kwd><kwd>rectenna</kwd></kwd-group></article-meta></front><body><sec id="S1"><title>Introduction</title><p>Previously, the combat soldier had a few items that required batteries, possibly a short-range VHF or UHF radio telecommunication, and a night vision scope (<xref ref-type="bibr" rid="ref4">Brewster, 2020</xref>; <xref ref-type="bibr" rid="ref18">Niesel, 2019</xref>). Every combatant had these and a requirement to power them. They included electronic sights, laser rangefinders, mini laptops, and a communications radio. What happens when a combatant’s wearable battery power level drops during combat? The response is evident in the number of military companies and laboratories working to solve this problem every year and the increasing number of scientific publications. Combat soldiers typically carry batteries for a 72-hour mission (<xref ref-type="bibr" rid="ref11">Harper, 2015</xref>; <xref ref-type="bibr" rid="ref13">Lafontaine, 2019</xref>; <xref ref-type="bibr" rid="ref17">Miller, 2020</xref>). In <xref ref-type="fig" rid="F1">Figure 1</xref>, we see they are concerned about reliable and timely resupply and ensuring their electronics and communications are available.</p><fig id="F1" orientation="portrait" position="float"><label>Figure 1</label><caption><p>A fighter’s equipment and batteries during a routine operation (RHEINMETALL).</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g001_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g001.jpg"/></fig><p>US soldiers not only carried weapons but also wearable batteries. For instance, on a 72-hour operation in Kabul and Baghdad, the average combat soldier had a sixteen-pound flak jacket, a sizeable weapon, and 40 pounds of gear, including batteries for communication, navigation, and powering monitoring devices (<xref ref-type="bibr" rid="ref9">Collins, 2015</xref>). According to a British Ministry of Defence (MoD) study, every soldier carries around 12kg of batteries for a 36-hour patrol (<xref ref-type="bibr" rid="ref17">Miller, 2020</xref>). According to a recent analysis by the Canadian Army, soldiers carry more than 51 AA batteries and CR123 batteries for a 24-hour guard (<xref ref-type="bibr" rid="ref24">Thales, 2016</xref>). Battery placement has become one of the most critical considerations on today’s battlefields. The requirements for electrical power have grown-up exponentially over the last few years. Portable batteries have been a particular challenge for soldiers and special forces units. They must use all these devices continuously for three nights. The military is seeking longer battery charges, faster and more possibilities for recharging, extending the overall battery life, reducing the size and weight of batteries, and improving safety (<xref ref-type="bibr" rid="ref17">Miller, 2020</xref>) . Achieving the promised capabilities offered by these technologies is directly linked to solving the power problem. The US army studies much research and works to reduce its combat soldiers’ enormous and literal burden. It held a competition in 2008 to find a 4-kilogram portable power supply that could provide 20 Watts for 96 hours (1.92 kilowatt-hours) of energy. Christopher Hurley and others developed fuel cells, smart grids, and environmental control units, harvesting wind and solar power and examining waste-to-energy and biofuels. He is working on more novel projects to develop a power source that converts commonly available sugars directly into electrical energy. He uses enzymes to convert sugar into energy, similar to how your body uses enzymes to convert food into energy (<xref ref-type="bibr" rid="ref23">Sigler, 2011</xref>). Recently, the US army succeeded in implementing wireless recharge gadgets from 15 metres away (<xref ref-type="bibr" rid="ref3">Beckhusen, 2012</xref>). In the plan, the branches’ research and development centres will contribute more than six million dollars to improve wireless energy transmission efficiency over greater distances, according to a US Army announcement. Chaari <italic>et al</italic>. produced a study of the impact of wireless power charging on the future of battlefields (<xref ref-type="bibr" rid="ref7">Chaari and Al-Rahimi, 2021b</xref>).</p><p>Using renewable energy sources such as solar chargers or wind power can reduce the load and weight of the batteries by providing energy. Wireless power transmission has become widely used in rescue applications because it can reduce the battery’s weight during firefighting operations (<xref ref-type="bibr" rid="ref6">Chaari and Al-Rahimi, 2021a</xref>; <xref ref-type="bibr" rid="ref8">Chaari and Rahimi, 2017</xref>; <xref ref-type="bibr" rid="ref22">Sidhu <italic>et al</italic>., 2019</xref>). RF microwave energy would be sent to a small unit to wirelessly charge batteries in an electronic device (laser range finder, night vision goggles, infrared sight system, and radio system). Wireless charging solutions can reduce battery size, weight, endurance, fighting time and increase soldier strength. It consists of an RF transmitter part and a harvester circuit that uses high efficiency to harvest energy, as shown in <xref ref-type="fig" rid="F2">Figure 2</xref> and to provide electrical power to charge the wearable batteries on bulletproof vests using radiofrequency energy in the S-band (<xref ref-type="bibr" rid="ref12">Ishibashi <italic>et al</italic>., 2019</xref>; <xref ref-type="bibr" rid="ref15">Liu <italic>et al</italic>., 2020</xref>; <xref ref-type="bibr" rid="ref25">Tran <italic>et al</italic>., 2017</xref>).</p><fig id="F2" orientation="portrait" position="float"><label>Figure 2</label><caption><p>Illustrates the topology of a wireless energy transmission system on the battlefield.</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g002_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g002.jpg"/></fig><p>There are two main subsystems in the topology design. The first subsystem studied is the RF transmitter source coupling with a higher-performance pin-fed pyramidal horn antenna. The second subsystem uses an array patch antenna to harvest RF energy associated with a rectifier circuit at a higher efficiency (<xref ref-type="bibr" rid="ref20">Pinto <italic>et al</italic>., 2021</xref>). This study looks at the possibility of energising many electronic devices by putting a soldier inside a bulletproof vest. It provides the most critical factor necessary for the soldier to perform his duties on the battlefield, namely, an approved electrical source from which to charge his battery for a 72-hour mission. This study examines the possibility of powering many electronic devices wirelessly using the harvester circuit on the bulletproof jacket, as illustrated in <xref ref-type="fig" rid="F3">Figure 3</xref>. Scientists aim to reduce the weight of batteries for a 36-hour patrol to create a more intelligent battlefield. This study will examine two critical subsystems: an RF transmitter source and an RF-DC harvester. Estimating and calculating the amount of power loss in wireless power charging is necessary to determine the best antenna parameters.</p><fig id="F3" orientation="portrait" position="float"><label>Figure 3</label><caption><p>RF power harvesting circuit implemented on a protective vest.</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g003_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g003.jpg"/></fig></sec><sec id="S2"><title>Power Budget</title><p>A transmitting antenna produces a power density W<sub>t</sub>(θ<sub>t</sub>,φ<sub>t</sub>) in the direction (θ<sub>t</sub>,φ<sub>t</sub>). This power density attaches to the transmitting horn antenna Gain in the given direction G (θ<sub>t</sub>,φ<sub>t</sub>), on the power of the transmitter P<sub>t</sub> fed to it, and on the distance (D) between the transmitting point and the observation point as</p><disp-formula id="eq1"><mml:math id="eqn1"><mml:mrow><mml:msub><mml:mtext>W</mml:mtext><mml:mtext>t</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mtext>t</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mi>π</mml:mi><mml:msup><mml:mtext>R</mml:mtext><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac><mml:msub><mml:mtext>G</mml:mtext><mml:mtext>t</mml:mtext></mml:msub><mml:mfenced><mml:mrow><mml:msub><mml:mi>θ</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>θ</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mtext> </mml:mtext><mml:mfenced><mml:mn>1</mml:mn></mml:mfenced></mml:mrow></mml:math></disp-formula><p>The required transmitter power is calculated using the effective receiving and transmitting antennas area, as shown in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p><disp-formula id="eq2"><mml:math id="eqn2"><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mrow><mml:mtext>rx</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mtext>P</mml:mtext><mml:mrow><mml:mtext>tx</mml:mtext></mml:mrow></mml:msub><mml:msub><mml:mtext>G</mml:mtext><mml:mrow><mml:mtext>tx</mml:mtext></mml:mrow></mml:msub><mml:msub><mml:mtext>G</mml:mtext><mml:mrow><mml:mtext>rx</mml:mtext></mml:mrow></mml:msub><mml:msup><mml:mrow><mml:mfenced><mml:mrow><mml:mfrac><mml:mtext>c</mml:mtext><mml:mrow><mml:msub><mml:mtext>D</mml:mtext><mml:mtext>r</mml:mtext></mml:msub><mml:msub><mml:mtext>f</mml:mtext><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:mfenced></mml:mrow><mml:mn>2</mml:mn></mml:msup><mml:mtext>  </mml:mtext><mml:mfenced><mml:mn>2</mml:mn></mml:mfenced></mml:mrow></mml:math></disp-formula><disp-formula id="eq3"><mml:math id="eqn3"><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mrow><mml:mtext>tx</mml:mtext></mml:mrow></mml:msub><mml:mfenced><mml:mrow><mml:mtext>dB</mml:mtext></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:msub><mml:mtext>P</mml:mtext><mml:mrow><mml:mtext>tx</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mtext>G</mml:mtext><mml:mrow><mml:mtext>tx</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mtext>G</mml:mtext><mml:mrow><mml:mtext>rx</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mn>20</mml:mn><mml:mi>log</mml:mi><mml:mn>10</mml:mn><mml:mfenced><mml:mrow><mml:mfrac><mml:mi>λ</mml:mi><mml:mrow><mml:mn>4</mml:mn><mml:mi>π</mml:mi><mml:msub><mml:mtext>D</mml:mtext><mml:mtext>r</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:mfenced><mml:mtext>  </mml:mtext><mml:mfenced><mml:mn>3</mml:mn></mml:mfenced></mml:mrow></mml:math></disp-formula><fig id="F4" orientation="portrait" position="float"><label>Figure 4</label><caption><p>Diagram of transmitting antenna and receiving antenna.</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g004_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g004.jpg"/></fig><p>To calculate the effective area of a patch antenna over a perfect ground plane, the following formula is used:</p><disp-formula id="eq4"><mml:math id="eqn4"><mml:mrow><mml:msub><mml:mtext>A</mml:mtext><mml:mrow><mml:mtext>er</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mtext>G</mml:mtext><mml:mtext>r</mml:mtext></mml:msub><mml:msup><mml:mi>λ</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mi>π</mml:mi></mml:mrow></mml:mfrac><mml:mtext>  </mml:mtext><mml:mfenced><mml:mn>4</mml:mn></mml:mfenced></mml:mrow></mml:math></disp-formula><p>Where the wavelength</p><disp-formula id="eq5"><mml:math id="eqn5"><mml:mrow><mml:mi>λ</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mtext>C</mml:mtext><mml:mtext>f</mml:mtext></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mn>3.10</mml:mn></mml:mrow><mml:mn>8</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mn>2.45.10</mml:mn></mml:mrow><mml:mn>9</mml:mn></mml:msup></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mn>0.122</mml:mn><mml:mtext>m</mml:mtext><mml:mo>=</mml:mo><mml:mn>12</mml:mn><mml:mtext>cm  </mml:mtext><mml:mfenced><mml:mn>5</mml:mn></mml:mfenced></mml:mrow></mml:math></disp-formula><p>Where G<sub>r</sub> is the Gain of the patch antenna, and λ is the wavelength at 2.45 GHz. From <xref ref-type="table" rid="T2">table 2</xref>, the Gain is G = 5.25 dBi. Using <xref ref-type="disp-formula" rid="eq4">Equation (4)</xref>, the effective area of the dipole antenna is 6.22 ×10<sup>–3</sup> m<sup>2</sup>. The power density W<sub>i</sub> transmitted by the conical horn antenna at distance R can be expressed as</p><disp-formula id="eq6"><mml:math id="eqn6"><mml:mrow><mml:msub><mml:mtext>W</mml:mtext><mml:mtext>i</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mtext>t</mml:mtext></mml:msub><mml:msub><mml:mtext>G</mml:mtext><mml:mtext>r</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mi>π</mml:mi><mml:msup><mml:mtext>R</mml:mtext><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mtext>t</mml:mtext></mml:msub><mml:msub><mml:mtext>A</mml:mtext><mml:mrow><mml:mtext>et</mml:mtext></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mi>λ</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:msup><mml:mtext>R</mml:mtext><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac><mml:mtext>  </mml:mtext><mml:mfenced><mml:mn>6</mml:mn></mml:mfenced></mml:mrow></mml:math></disp-formula><p>Where:</p><p>P<sub>t</sub> is the transmitted power,</p><p>A<sub>et</sub> is the effective area of the conical transmitter horn antenna,</p><p>R is the distance between transmitting and receiving antennas.</p><p>For the conical horn antenna, the Gain (G) can be expressed as</p><disp-formula id="eq7"><mml:math id="eqn7"><mml:mrow><mml:mtext>G</mml:mtext><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mfrac><mml:mrow><mml:mi>π</mml:mi><mml:msub><mml:mtext>D</mml:mtext><mml:mtext>f</mml:mtext></mml:msub></mml:mrow><mml:mi>λ</mml:mi></mml:mfrac><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup><mml:msub><mml:mrow><mml:mtext> A</mml:mtext></mml:mrow><mml:mrow><mml:mtext>er</mml:mtext></mml:mrow></mml:msub><mml:mtext>  </mml:mtext><mml:mfenced><mml:mn>7</mml:mn></mml:mfenced></mml:mrow></mml:math></disp-formula><p>The aperture efficiency (e<sub>A</sub>) can be expressed as</p><disp-formula id="eq8"><mml:math id="eqn8"><mml:mrow><mml:msub><mml:mtext>A</mml:mtext><mml:mrow><mml:mtext>er</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mtext>G</mml:mtext><mml:mrow><mml:msup><mml:mrow><mml:mfenced><mml:mrow><mml:mfrac><mml:mrow><mml:mi>π</mml:mi><mml:mtext>Df</mml:mtext></mml:mrow><mml:mi>λ</mml:mi></mml:mfrac></mml:mrow></mml:mfenced></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>7.22</mml:mn></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mfenced><mml:mrow><mml:mfrac><mml:mrow><mml:mn>3.14</mml:mn><mml:mo>×</mml:mo><mml:mn>0.27</mml:mn></mml:mrow><mml:mrow><mml:mn>0.122</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:mfenced></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mn>0.1495</mml:mn><mml:msup><mml:mrow><mml:mtext> m</mml:mtext></mml:mrow><mml:mn>2</mml:mn></mml:msup><mml:mtext>  </mml:mtext><mml:mfenced><mml:mn>8</mml:mn></mml:mfenced></mml:mrow></mml:math></disp-formula><p>The effective area of the pin-fed horn antenna is the physical area (A) times the efficiency. The power (P<sub>r</sub>) received by the dipole antenna can be expressed as:</p><disp-formula id="eq9"><mml:math id="eqn9"><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mtext>r</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mtext>W</mml:mtext><mml:mtext>i</mml:mtext></mml:msub><mml:msub><mml:mtext>A</mml:mtext><mml:mrow><mml:mtext>er</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mtext>t</mml:mtext></mml:msub><mml:msub><mml:mtext>A</mml:mtext><mml:mrow><mml:mtext>et</mml:mtext></mml:mrow></mml:msub><mml:msub><mml:mtext>A</mml:mtext><mml:mrow><mml:mtext>er</mml:mtext></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mi>λ</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:msup><mml:mtext>R</mml:mtext><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac><mml:mtext> </mml:mtext><mml:mfenced><mml:mn>9</mml:mn></mml:mfenced></mml:mrow></mml:math></disp-formula><p><xref ref-type="disp-formula" rid="eq9">Equation (9)</xref> shows the power required to transmit versus the distance between the transmitting and receiving antennas to obtain the maximum strength at the receiving point. Assume that distance R lies in the far-field of the conical horn antenna. This Equation describes the received power at close-in (reference) distances [W]</p><disp-formula id="eq10"><mml:math id="eqn10"><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mrow><mml:mtext>tx</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mtext>P</mml:mtext><mml:mrow><mml:mtext>tx</mml:mtext></mml:mrow></mml:msub><mml:msub><mml:mtext>G</mml:mtext><mml:mrow><mml:mtext>tx</mml:mtext></mml:mrow></mml:msub><mml:msub><mml:mtext>G</mml:mtext><mml:mrow><mml:mtext>rx</mml:mtext></mml:mrow></mml:msub><mml:msup><mml:mrow><mml:mfenced><mml:mrow><mml:mfrac><mml:mtext>c</mml:mtext><mml:mrow><mml:mn>4</mml:mn><mml:mi>π</mml:mi><mml:msub><mml:mtext>D</mml:mtext><mml:mtext>r</mml:mtext></mml:msub><mml:msub><mml:mtext>f</mml:mtext><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:mfenced></mml:mrow><mml:mn>2</mml:mn></mml:msup><mml:mtext>  </mml:mtext><mml:mfenced><mml:mrow><mml:mn>10</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula><p>Close-in received power in dBm</p><disp-formula id="eq11"><mml:math id="eqn11"><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mrow><mml:mtext>rx</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>10</mml:mn><mml:mi>log</mml:mi><mml:mfenced><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mtext>r</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:mn>0.001</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:mfenced><mml:mtext>  </mml:mtext><mml:mfenced><mml:mrow><mml:mn>11</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula><p>Close-in received power in dBw</p><disp-formula id="eq12"><mml:math id="eqn12"><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mrow><mml:mtext>rx</mml:mtext></mml:mrow></mml:msub><mml:mfenced><mml:mrow><mml:mtext>dBW</mml:mtext></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn>10</mml:mn><mml:mi>log</mml:mi><mml:mfenced><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mtext>r</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:mn>0.001</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:mfenced><mml:mtext>  </mml:mtext><mml:mfenced><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula><p>Received power calculated using reference power in dBm</p><disp-formula id="eq13"><mml:math id="eqn13"><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mrow><mml:mtext>rx</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mtext>P</mml:mtext><mml:mi>r</mml:mi></mml:msub><mml:mfenced><mml:mrow><mml:mtext>dBm</mml:mtext></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mn>20</mml:mn><mml:mi>log</mml:mi><mml:mfenced><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mtext>d</mml:mtext><mml:mn>0</mml:mn></mml:msub></mml:mrow><mml:mtext>d</mml:mtext></mml:mfrac></mml:mrow></mml:mfenced><mml:mtext>  </mml:mtext><mml:mfenced><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula><p>Received power calculated using reference power in dBw</p><disp-formula id="eq14"><mml:math id="eqn14"><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mtext>r</mml:mtext></mml:msub><mml:mfenced><mml:mrow><mml:mtext>dBW</mml:mtext></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:msub><mml:mtext>P</mml:mtext><mml:mtext>r</mml:mtext></mml:msub><mml:mfenced><mml:mrow><mml:mtext>d</mml:mtext><mml:mn>0</mml:mn><mml:mtext>BW</mml:mtext></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mn>20</mml:mn><mml:msub><mml:mrow><mml:mi>log</mml:mi></mml:mrow><mml:mrow><mml:mn>10</mml:mn></mml:mrow></mml:msub><mml:mfenced><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mtext>d</mml:mtext><mml:mn>0</mml:mn></mml:msub></mml:mrow><mml:mtext>d</mml:mtext></mml:mfrac></mml:mrow></mml:mfenced><mml:mtext>  </mml:mtext><mml:mfenced><mml:mrow><mml:mn>14</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula><p><xref ref-type="disp-formula" rid="eq15">Equation (15)</xref> represents the path loss</p><disp-formula id="eq15"><mml:math id="eqn15"><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mtext>L</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mtext>t</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mtext>r</mml:mtext></mml:msub></mml:mrow></mml:mfrac><mml:mtext>  </mml:mtext><mml:mfenced><mml:mrow><mml:mn>15</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula><p>According to <xref ref-type="disp-formula" rid="eq10">Equation (10)</xref>, the reflection-free propagation where the far-field depends on distance as (1/r), while the power density falls off as (1/r<sup>2</sup>), as shown in <xref ref-type="fig" rid="F5">Figure 5</xref>.</p><fig id="F5" orientation="portrait" position="float"><label>Figure 5</label><caption><p>Received power (W) VS distance (m).</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g005_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g005.jpg"/></fig><p><xref ref-type="fig" rid="F6">Figure 6</xref> illustrates how the transmitter antenna should be positioned face-to-face with the receiver antenna to enhance energy harvesting from the RF transmitter source. The power density harvested depends on the direction of the receiving and transmitting antennas. We simulated the power received after the RF power transmission was set to 2 kW. <xref ref-type="fig" rid="F6">Figure 6A</xref> illustrates the decrease in received power (W) as the gap distance increases, resulting in poor reception. <xref ref-type="fig" rid="F6">Figures 6B</xref> and <xref ref-type="fig" rid="F6">6C</xref> show the received power (dBm, dBW) as the distance (m) function. There is no other effect other than the decrease in power due to distance and antenna parameters in the simulation. Antenna parameters are not included in the calculation of free-space path loss, as shown in <xref ref-type="fig" rid="F6">Figure 6D</xref>.</p><fig id="F6" orientation="portrait" position="float"><label>Figure 6</label><caption><p>Simulation: (A) Received power (W) vs distance (m), (B) Received power (dBm) vs distance (m), (C) Received power (dBW) vs distance (m), (D) Path loss vs distance.</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g006_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g006.jpg"/></fig></sec><sec id="S3"><title>RF microwave transmitter system</title><p>The microwave generator used in this study is an MSAPS (2kW Industrial Microwave Generator (MSPS2000)) (<xref ref-type="bibr" rid="ref19">Park and Youii, 2020</xref>). As illustrated in <xref ref-type="fig" rid="F7">Figure 7</xref>, these industrial microwave generators consist of a waveguide launcher, power supply, and magnetron in a compact enclosure, resulting in competitive, space-saving add-on generators. To increase the efficiency of RF transmission, we provided a water supply system for cooling.</p><fig id="F7" orientation="portrait" position="float"><label>Figure 7</label><caption><p>The MSPS2000 Industrial Microwave Generator (2.5kW).</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g007_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g007.jpg"/></fig><p>An antenna should be designed with high Gain and directivity to create a wireless charging device. The CST microwave simulator is used to simulate and optimise transmitter antennas, mainly for microwave radiation and power transmission. The radiation patterns of pin-fed horn antennas were taken into account when determining the maximum gain value, directivity, and area of operation of these antennas. <xref ref-type="fig" rid="F8">Figure 8</xref> contains a sketch of a pin-fed horn antenna with a linear flare.</p><fig id="F8" orientation="portrait" position="float"><label>Figure 8</label><caption><p>The pin-feed pyramidal horn antenna sketches: (A) Front and back view, (B) Side view, (C) 3D view.</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g008_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g008.jpg"/></fig><p>The Gain of a horn antenna is:</p><disp-formula id="eq16"><mml:math id="eqn16"><mml:mrow><mml:mtext>G</mml:mtext><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>4</mml:mn><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mi>λ</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac><mml:mstyle displaystyle="true"><mml:mrow><mml:munder><mml:mo>∫</mml:mo><mml:mrow><mml:mtext>ap</mml:mtext></mml:mrow></mml:munder><mml:mrow><mml:msub><mml:mtext>W</mml:mtext><mml:mtext>g</mml:mtext></mml:msub><mml:msub><mml:mtext>H</mml:mtext><mml:mtext>g</mml:mtext></mml:msub></mml:mrow></mml:mrow></mml:mstyle><mml:mtext>  </mml:mtext><mml:mfenced><mml:mrow><mml:mn>17</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula><p>Dimensions of waveguides:</p><p>W<sub>g</sub> = 0.8382 × λ = 98.05 mm (Waveguide width)</p><p>H<sub>g</sub> = 0.3925 × λ = 124.91 mm (Waveguide length)</p><p>Where the aperture dimensions are:</p><p>W<sub>a</sub> = 258.9 mm (Aperture width)</p><p>H<sub>a</sub> = 187.0 mm (Aperture height)</p><p>The antenna metal thickness is:</p><p>T<sub>s</sub> = 0.001 × wavelength centre = 0.001 × 124.913 mm = 0.1249 mm</p><p><xref ref-type="table" rid="T1">Table 1</xref> contains values derived from the CST microwave software. In the following sections, we discuss and analyse the results.</p><table-wrap id="T1" orientation="portrait" position="float"><label>Table 1</label><caption><p>Horn antenna parameters</p></caption><table frame="border" rules="groups"><thead valign="top"><tr><th>Name</th><th>Description</th><th>Value</th></tr></thead><tbody valign="top"><tr><td>Wg</td><td>Waveguide width</td><td>98.06 mm</td></tr><tr><td>Hg</td><td>Waveguide height</td><td>49.03 mm</td></tr><tr><td>Lg</td><td>Waveguide length</td><td>124.9 mm</td></tr><tr><td>Wa</td><td>Aperture width</td><td>258.9 mm</td></tr><tr><td>Ha</td><td>Aperture height</td><td>187.0 mm</td></tr><tr><td>Lf</td><td>Flare length</td><td>76.79 mm</td></tr><tr><td>Hp</td><td>Feed-pin height</td><td>28.24 mm</td></tr><tr><td>Dp</td><td>Feed-pin diameter</td><td>1.249 mm</td></tr><tr><td>S</td><td>Feed-pin inset (distance from the back wall)</td><td>23.47 mm</td></tr><tr><td>Xx</td><td>Device X-dimension</td><td>258.9 mm</td></tr><tr><td>Y</td><td>Device Y-dimension</td><td>187.0 mm</td></tr><tr><td>Z</td><td>Device Z-dimension</td><td>201.7 mm</td></tr></tbody></table></table-wrap><p>All physical and electromagnetic properties of the pin-feed pyramidal horn antenna were investigated, including Reflection coefficient, Directivity, Smith Chart, and Radiation pattern 3D. <xref ref-type="fig" rid="F9">Figure 9A</xref> demonstrates that we achieve a perfect return loss of -29.875 dB at 2.45 GHz. The antenna bandwidth is approximately 450 MHz (18.26%) at 2.45 GHz, and the Voltage Standing Wave Ratio (VSWR) is 1.07. <xref ref-type="fig" rid="F9">Figure 9B</xref> shows the directivity gain at 2450 MHz is 12.71 dB. Input impedance is measured using the Smith chart.</p><fig id="F9" orientation="portrait" position="float"><label>Figure 9</label><caption><p>Simulation of pin feed horn antennas: (A) Reflection coefficient of a horn antenna, (B) The directivity Gain of the transmitter, (C) smith chart, 3-D radiation pattern plots (D)</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g009_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g009.jpg"/></fig><p><xref ref-type="fig" rid="F9">Figure 9C</xref> illustrates how the antenna impedance varies with operating frequency. Based on the 3-D radiation pattern plots, we conclude that the antenna is highly directive and has a maximum gain of approximately 12.77 dBi, as shown in <xref ref-type="fig" rid="F9">Figure 9D</xref>.</p><p>Initially, the geometry of a pyramidal horn antenna with dimensions of the aperture width W<sub>a</sub> =258.9 mm, height aperture wall H<sub>a</sub> =187.0 mm, the flare length = 76.79 mm; similarly, dimensions of waveguide width W<sub>g</sub>=98.05 mm, waveguide length H<sub>g</sub>= 124.91 mm, are modelled in <xref ref-type="fig" rid="F9">Figure 9D</xref>.</p><p>The phase errors (H-plane)</p><disp-formula id="eq17"><mml:math id="eqn17"><mml:mrow><mml:mtext>t</mml:mtext><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mtext>Wa</mml:mtext></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn>8</mml:mn><mml:mi>λ</mml:mi><mml:msub><mml:mtext>L</mml:mtext><mml:mn>1</mml:mn></mml:msub></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mn>0.1276</mml:mn></mml:mrow></mml:math></disp-formula><p>The phase errors (E-plane)</p><disp-formula id="eq18"><mml:math id="eqn18"><mml:mrow><mml:mtext>s</mml:mtext><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mtext>Ha</mml:mtext></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn>8</mml:mn><mml:mi>λ</mml:mi><mml:msub><mml:mtext>L</mml:mtext><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mn>0.0714</mml:mn></mml:mrow></mml:math></disp-formula><p>The phase error (t) in (H-plane) differs from the phase error (s) in (E-plane). <xref ref-type="fig" rid="F10">Figure 10</xref> contains a photograph of a pin-feed pyramidal horn antenna. The dimensions of pyramidal flared antennas are 187 mm (width) and 259 mm (height), whereas the thickness of the antenna metal is 0.127 mm.</p><fig id="F10" orientation="portrait" position="float"><label>Figure 10</label><caption><p>Prototype constructed.</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g010_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g010.jpg"/></fig><p><xref ref-type="table" rid="T2">Table 2</xref> has a summary of the distinguishing characteristics of pin-feed pyramidal horn antennas. The antenna’s polarisation is linear and directional, and its impedance is 50Ω.</p><table-wrap id="T2" orientation="portrait" position="float"><label>Table 2</label><caption><p>Typical characteristics</p></caption><table frame="border" rules="groups"><thead valign="top"><tr><th>Bandwidth</th><th align="center">Gain</th><th align="center">Size</th><th align="center">Impedance</th><th align="center">Pattern</th><th align="center">Polarization</th></tr></thead><tbody valign="top"><tr><td>&gt;20%</td><td align="center">12.77</td><td align="center">187mm X 259mm</td><td align="center">50Ω</td><td align="center">Directional</td><td align="center">Linear</td></tr></tbody></table></table-wrap></sec><sec id="S4"><title>Power harvester system</title><p>Embedded wireless power supplies can provide power to military devices for a 36-hour patrol without any contact and reduce battery weight and size. Microwave energy is converted into DC power by the rectifier circuit. As shown in <xref ref-type="fig" rid="F11">Figure 11</xref>, the wearable harvesting system consists of three elements, and this subsection describes each component in detail.</p><fig id="F11" orientation="portrait" position="float"><label>Figure 11</label><caption><p>Wearable RF harvesting device.</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g011_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g011.jpg"/></fig></sec><sec id="S5"><title>Twin inset-feed patch antenna</title><p>Energy harvesters should be small, lightweight, inexpensive, and easily concealed in clothing. The array patch antenna is the optimal choice for this application due to its flexibility and geometry (<xref ref-type="bibr" rid="ref10">Eltresy <italic>et al</italic>., 2018</xref>; <xref ref-type="bibr" rid="ref14">Li and Hao, 2017</xref>). Generally, broadband antennas can operate across various frequencies, especially when incorporated into protective vests. The radiation strength of a patch antenna feed is dependent on its beamwidth. Accordingly, an RF4 substrate with a dielectric height of 1.6 mm was chosen, which provided the essential design parameters.</p><p>Where:</p><p>Speed of light C= 3 x 10<sup>8</sup> m/s</p><p>The dielectric constant of the substrate ε<sub>r</sub> = 4.4</p><p>The schematic of the microstrip patch antenna showing the optimal parameters for Microstrip Line (MLIN), Microstrip Line Open-Circuited Stub (MLOC), Microstrip Curve (MCURVE), and Microstrip Asymmetric Coupled Line (MACLIN) (<xref ref-type="bibr" rid="ref21">Ren <italic>et al</italic>., 2020</xref>). It is necessary to add the MACLIN to the design to create the inset feed line, as shown in <xref ref-type="fig" rid="F12">Figure 12</xref>. According to <xref ref-type="disp-formula" rid="eq18">Equation (18)</xref>, W1 and W3 are equivalent and determined according to the substrate width (W).</p><disp-formula id="eq19"><mml:math id="eqn19"><mml:mrow><mml:mtext>W1</mml:mtext><mml:mo>=</mml:mo><mml:mtext>W3</mml:mtext><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mtext>W</mml:mtext><mml:mo>−</mml:mo><mml:mn>9</mml:mn></mml:mrow><mml:mn>2</mml:mn></mml:mfrac><mml:mtext>  </mml:mtext><mml:mfenced><mml:mrow><mml:mn>18</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula><fig id="F12" orientation="portrait" position="float"><label>Figure 12</label><caption><p>Circuit schematic for twin inset-feed patch antennas.</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g012_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g012.jpg"/></fig><p>On the other hand, the W2 is equal to the width of the microstrip line feed, s in <xref ref-type="disp-formula" rid="eq18">Equation (18)</xref>. Moreover, (S1) and (S2) are the gaps of the inset feed, where both were equal to (W<sub>f</sub>).</p><p>The width of microstrip line feed, (W<sub>f</sub>), is computed in <xref ref-type="disp-formula" rid="eq19">Equation (19)</xref>:</p><disp-formula id="eq20"><mml:math id="eqn20"><mml:mrow><mml:msub><mml:mtext>W</mml:mtext><mml:mtext>f</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mfenced close="}" open="{"><mml:mrow><mml:msup><mml:mrow><mml:mfenced><mml:mrow><mml:mfrac><mml:mrow><mml:msup><mml:mtext>e</mml:mtext><mml:mtext>H</mml:mtext></mml:msup></mml:mrow><mml:mn>8</mml:mn></mml:mfrac><mml:mo>−</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mn>4</mml:mn><mml:msup><mml:mtext>e</mml:mtext><mml:mtext>H</mml:mtext></mml:msup></mml:mrow></mml:mfrac></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:mn>1.6</mml:mn><mml:mtext>mm  </mml:mtext><mml:mfenced><mml:mrow><mml:mn>19</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula><p>Moreover, the length of the microstrip line feed (L<sub>f</sub>) is obtained through <xref ref-type="disp-formula" rid="eq20">Equation (20)</xref> below:</p><disp-formula id="eq21"><mml:math id="eqn21"><mml:mrow><mml:msub><mml:mtext>L</mml:mtext><mml:mtext>f</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mi>θ</mml:mi><mml:mfrac><mml:mrow><mml:msub><mml:mi>λ</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mn>360</mml:mn><mml:mo>°</mml:mo></mml:mrow></mml:mfrac><mml:mtext>  </mml:mtext><mml:mfenced><mml:mrow><mml:mn>20</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula><p>Where (λ<sub>g</sub>):</p><disp-formula id="eq22"><mml:math id="eqn22"><mml:mrow><mml:msub><mml:mi>λ</mml:mi><mml:mtext>g</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mtext>C</mml:mtext><mml:mrow><mml:mtext>f</mml:mtext><mml:mo>×</mml:mo><mml:msqrt><mml:mrow><mml:msub><mml:mi>ε</mml:mi><mml:mrow><mml:mtext>reff</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msqrt></mml:mrow></mml:mfrac><mml:mtext>  </mml:mtext><mml:mfenced><mml:mrow><mml:mn>21</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula><p>The following Equation is used to calculate the notch width:</p><disp-formula id="eq23"><mml:math id="eqn23"><mml:mrow><mml:mtext>g</mml:mtext><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mtext>c</mml:mtext><mml:mo>×</mml:mo><mml:mn>4.65</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>12</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msqrt><mml:mrow><mml:mn>2</mml:mn><mml:mo>×</mml:mo><mml:mi>ε</mml:mi><mml:mo>×</mml:mo><mml:msub><mml:mtext>f</mml:mtext><mml:mtext>r</mml:mtext></mml:msub></mml:mrow></mml:msqrt></mml:mrow></mml:mfrac><mml:mtext>  </mml:mtext><mml:mfenced><mml:mrow><mml:mn>22</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula><p>In this optimised circuit, with the FR4 dielectric substrate (ε<sub>r</sub> = 4.6, tan δ = 0.02, and h = 1.6mm), fr = 2.4 GHz, the relative bandwidth is more significant than 1%. At 2.444 GHz, the proposed patch antenna has a directivity of 7.431 dBi and a gain of 4.518 dBi, as shown in <xref ref-type="fig" rid="F13">Figures 13</xref> (a) and 13 (c), respectively. With an operating frequency of 2.431 GHz, we obtained an acceptable return loss, S11= -17.167, dB. At 2.45 GHz, the antenna has a standing wave ratio of 1.056 with a bandwidth of approximately 32 MHz.</p><fig id="F13" orientation="portrait" position="float"><label>Figure 13</label><caption><p>Tin inset-feed patch antenna simulation: (A) S11 performance, (B) Current simulation, (C) Antenna Smith chart, (D) Gain and directivity of the proposed antenna</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g013_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g013.jpg"/></fig><p>The different widths of the feed lines result in further distribution of current. At 2.448 GHz, we can see that the antenna and the signal source are almost perfectly matched, with no imaginary parts for impedance. This results in the accurate transmission of all signals.</p><p>Where:</p><p>Z= (Z<sub>0</sub> × (0.57 + j0.01)).</p><p>This antenna performs acceptably for harvesting RF energy. The next step will be to examine the circuit design for rectifier harvesters.</p></sec><sec id="S6"><title>Rectifier Investigation</title><p>This section describes the fabrication of RF rectifiers, starting with selecting components according to the desired output voltage and output current and analysing the performance of the RF rectifier harvesting circuit based on high-frequency diode components (<xref ref-type="bibr" rid="ref1">Akter <italic>et al</italic>., 2014</xref>; <xref ref-type="bibr" rid="ref2">Ali <italic>et al</italic>., 2016</xref>; <xref ref-type="bibr" rid="ref5">Chaari and Al-maadeed, 2020</xref>; <xref ref-type="bibr" rid="ref16">Matsunaga <italic>et al</italic>., 2015</xref>; <xref ref-type="bibr" rid="ref20">Pinto <italic>et al</italic>., 2021</xref>). The output voltage (V<sub>out</sub>) achieved is given by this variation in (RL) value, as present in <xref ref-type="disp-formula" rid="eq23">Equation (23)</xref>:</p><disp-formula id="eq24"><mml:math id="eqn24"><mml:mrow><mml:msub><mml:mtext>V</mml:mtext><mml:mrow><mml:mtext>out</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>V</mml:mtext><mml:mn>0</mml:mn><mml:mfenced><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mtext>R</mml:mtext><mml:mn>0</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mtext>R</mml:mtext><mml:mtext>L</mml:mtext></mml:msub></mml:mrow></mml:mfrac><mml:mo>+</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mtext>n</mml:mtext></mml:mfrac></mml:mrow></mml:mfrac></mml:mrow></mml:mfenced><mml:mtext>  </mml:mtext><mml:mfenced><mml:mrow><mml:mn>23</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula><p>As shown in <xref ref-type="fig" rid="F14">Figure 14</xref>, a Schottky diode named HSMS2810 is used as part of the RF energy harvesting circuit. In this experiment, the voltage gain decreased as the number of steps increased, whereas a higher voltage is obtained by increasing the number of steps.</p><fig id="F14" orientation="portrait" position="float"><label>Figure 14</label><caption><p>Circuit design for RF harvesting utilising a five-stage voltage multiplier with the diode HSMS-2810 (Agilent ADS).</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g014_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g014.jpg"/></fig><p>As shown in <xref ref-type="fig" rid="F15">Figure 15</xref>, the DC output voltages obtained from the simulation of a five-stage voltage multiplier are 7.031V when using HSMS2700 diodes. We simulate a five-stage voltage multiplier using different Schottky diodes until we reach the high output voltage (HSMS2800, HSMS2850, HSMS2860, HSMS2810, HSMS810, HSMS2700, HSMS270B). According to <xref ref-type="table" rid="T3">Table 3</xref>, the HSMS-281X family has a high output voltage due to low flicker noise.</p><fig id="F15" orientation="portrait" position="float"><label>Figure 15</label><caption><p>The simulation results after optimization (HSMS2700).</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g015_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g015.jpg"/></fig><table-wrap id="T3" orientation="portrait" position="float"><label>Table 3</label><caption><p>Schottky diode HSMS-2800, HSMS-2850, HSMS-2860, HSMS-2810, HSMS8101, HSMS2700, and HSMS-270B efficiency comparison.</p></caption><table frame="border" rules="groups"><thead valign="top"><tr><th>Diode</th><th>P<sub>in</sub> (dB)</th><th>Load resistance (Ω)</th><th>V<sub>out</sub> (v)</th><th>I<sub>out</sub> (mA)</th><th>P<sub>out</sub> (w)</th><th>Efficiency <break/><inline-formula><mml:math id="eqn25"><mml:mrow><mml:mi>η</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mtext>V</mml:mtext><mml:mrow><mml:mtext>out</mml:mtext></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mtext>I</mml:mtext><mml:mrow><mml:mtext>out</mml:mtext></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mtext>P</mml:mtext><mml:mrow><mml:mtext>in</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:math></inline-formula><break/>(%)</th></tr></thead><tbody valign="top"><tr><td>HSMS2800</td><td rowspan="7">33</td><td rowspan="7">500 Ω</td><td>9.75</td><td>20</td><td>0.19</td><td>5.91</td></tr><tr><td>HSMS2850</td><td>2.00</td><td>4.12</td><td>0.0081</td><td>0.25</td></tr><tr><td>HSMS2860</td><td>3.86</td><td>8</td><td>0.03</td><td>0.93</td></tr><tr><td>HSMS2810</td><td>11.60</td><td>23</td><td>0.27</td><td>8.09</td></tr><tr><td>HSMS8101</td><td>6.64</td><td>13</td><td>0.088</td><td>2.61</td></tr><tr><td>HSMS2700</td><td>7.18</td><td>14.2</td><td>0.103</td><td>3.09</td></tr><tr><td>HSMS270B</td><td>0.24</td><td>0.52</td><td>1.06e<sup>-4</sup></td><td>0.003</td></tr></tbody></table></table-wrap><p>It has a low series resistance, low forward voltage at current levels, and good RF characteristics, making it an excellent choice for RF scavenging. The HSMS-285x detector diodes, as shown in <xref ref-type="table" rid="T3">Table 3</xref>, are zero-bias detectors designed for applications that involve small signals below 1.45 GHz. Schottky diodes HSMS-2850, despite their apparent high series resistance, provide low power levels in all the above RF rectifier topologies.</p><p>HSMS 8101 is approximately 3.1 times more efficient than HSMS 2850, as shown in <xref ref-type="fig" rid="F16">Figure 16</xref>. In this test, HSMS 2810 provides high output voltage.</p><fig id="F16" orientation="portrait" position="float"><label>Figure 16</label><caption><p>The output DC voltage among Schottky diode HSMS-2800, HSMS-2850, HSMS-2860, HSMS-2810, HSMS8101, HSMS2700, and HSMS-270B.</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g016_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g016.jpg"/></fig></sec><sec id="S7"><title>Prototype result and discussion</title><p>The portable microwave radiation station features a power output range of 100W to 2kW and operates at a frequency of 2.45GHz. Wireless energy calculators use equations to estimate the amount of microwave energy present at the receiver and the level of RF power converted to DC outputs, assuming a direct line of sight between the patch antenna and the horn antenna. We entered the gain values of the (Tx) and (Rx) antennas into the wireless power calculator. To measure the S11 of the fabricated antenna, we used a vector network analyser (VNA) TTR506A. As shown in <xref ref-type="fig" rid="F17">Figure 17</xref>, the estimated S11 value is -18.102 dBi, while the theoretical simulation value is -17.167 dBi. Accordingly, this antenna matches much better at 2.45 GHz, with a smaller reflection. A receiver antenna’s maximum Gain is 4.510 dB. (TX) antenna prototypes have been constructed and measured using the Vector Network Analyser to determine the S<sub>11</sub>. S<sub>11</sub> was estimated to be -26.13 dBi instead of -28.16 dBi as predicted. The receiver antenna can achieve a gain of 12.510 dB. Using a patch antenna and HSMS-2810, the rectenna generates a maximum DC voltage of 11.7 V, with an efficiency of 18.75 percent, at an RF power of 20 W.</p><fig id="F17" orientation="portrait" position="float"><label>Figure 17</label><caption><p>Setup for measuring antenna parameters.</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g017_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g017.jpg"/></fig><p>The line of sight (LOS) between the antennas is one metre to five metres for outdoor testing.</p><p>According to <xref ref-type="table" rid="T4">Table 4</xref>, the strength of the RF power varies with the distance between the microwave power station Pin = 100 W and the receiver circuit. It appears that the harvested power varies significantly with distance.</p><table-wrap id="T4" orientation="portrait" position="float"><label>Table 4</label><caption><p>Energy harvesting range/distance</p></caption><table frame="border" rules="groups"><thead valign="top"><tr><th>RF Power transmitting (P<sub>r</sub>)</th><th>There is a gap between the RF transmitter and the observation point</th><th>Harvested energy</th></tr></thead><tbody valign="top"><tr><td rowspan="5">100 W</td><td>1 metre</td><td>26.22 W</td></tr><tr><td>2 metres</td><td>19.56 W</td></tr><tr><td>3 metres</td><td>14.56 W</td></tr><tr><td>4 metres</td><td>14.62 W</td></tr><tr><td>5 metres</td><td>10.03 W</td></tr></tbody></table></table-wrap><p>As a transmitter source, we fixed the RF power at 100 Watts. The rectifying circuit is connected to the twin inset-feed patch antenna using the SMS connector. <xref ref-type="fig" rid="F18">Figure 18</xref> shows how the bulbs are powered wirelessly.</p><fig id="F18" orientation="portrait" position="float"><label>Figure 18</label><caption><p>Photograph of the RF energy harvesting test setup.</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g018_min.jpg" xlink:fullhref="https://securityanddefence.pl/f/fulltexts/152548/SDQ-40-00213-g018.jpg"/></fig></sec><sec id="S8"><title>Conclusion and perspectives</title><p>Using an RF energy harvesting device, this project investigated the possibility of generating electricity from the ISM-band to charge many devices on the battlefield. This device can integrate into a protective vest in the future. During a real test, the receiver patch antenna had a reflection coefficient of -32.34 dB and a gain of 15.11 dB. The harvester antenna meets all the specifications required for this application. It produces a high output DC voltage and provides excellent conversion to electricity. At five metres, we achieved 13 watts. In this study, we discovered that wireless power technology could reduce the weight a soldier carries and that soldiers could wirelessly charge all their electronic devices. The effects of this technology on the body of a soldier are not of concern to us, and it is extremely critical to keep it alive and in contact with the command centre. We will change the topology of the rectifier circuit in the next step and check the harvesting circuit’s efficiency.</p></sec></body><back><sec id="S9" sec-type="financial-disclosure"><title>Funding</title><p>This research received no external funding.</p></sec><sec id="S10"><title>Author Contributions</title><p>A - Conceptualization, M.Z.C., Validation, M.Z.C., Investigation, M.Z.C., Data curation, O.A., Project administration, R.A. 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