Kvant-imkoniyatli spintronik kichik antennalar erkin fazodagi elektromagnit toʻlqin uzunligidan ancha kichik fizik o‘lchamlarda ishlagan holda klassik elektr-dipol antennalarni kichraytirishda yuzaga keladigan samaradorlik va yoʻnalganlik cheklovlarini spin toʻlqinlari, fonon–magnon–foton energiya uzatilishi, topologik izolyatorlardagi spin–momentum qulflanishi yoki Spin Hall effekti kabi noodatiy mexanizmlar orqali yengib oʻtishni maqsad qilgan antenna tuzilmalaridir. Ushbu tadqiqot bitta yangi antenna prototipini taqdim etish o‘rniga, magneto-elastik nanomagnit antennalardan artificial multiferroic magnonic crystal (AMMC) tuzilmalariga, uch o‘lchovli topologik izolyatorda spin injeksiyali antennalardan heavy-metal asosidagi Spin Hall nano-antenna (SHNA) uzatgich va qabul qilgichlargacha choʻzilgan tadqiqot yoʻnalishini umumlashtiradi.

Tadqiqotning boshlangʻich nuqtasi klassik kichik antenna muammosidir. Manba qoʻllagan doirada antenna maydoni erkin-fazo toʻlqin uzunligining kvadratidan juda kichik boʻlganda klassik antennalar erisha oladigan radiation efficiency taxminan \(A/\lambda^2\) miqyosi bilan jiddiy cheklanadi. Bunga qarshi, sharhda keltirilgan nanomagnit asosidagi tuzilmalar elektromagnit rezonans oʻrniga mexanik, magnonik va spintronik energiya uzatish kanallaridan foydalanib, ushbu klassik miqyosdan ancha yuqori oʻlchangan radiation efficiencies va gains ko‘rsata olgan.

Birinchi muhim sinf magneto-elastik antennalardir. Piezoelektrik materialda hosil qilingan sirt akustik toʻlqini (surface acoustic wave, SAW) magnetostrictive materialda davriy strain hosil qiladi; inverse magnetostriction yoki Villari effect ushbu strain-ni magnetization dynamics-ga aylantiradi. Bulk magnet o‘rniga nanoscale magnit elementlar ishlatilganda eddy-current loops bostirilishi mumkinligi sababli yoʻqotish kamayishi mumkin. Keltirilgan 144 MHz tajribada nanomagnitlar mavjud real namunaning qabul qilingan signali nazorat namunasidan 8 dB, yaʼni manba ifodasiga koʻra taxminan 6.3 marta yuqori topilgan. Xuddi shu tajribalar oilasida taxminiy radiation efficiencies klassik \(A/\lambda_{\mathrm{EM}}^2\) miqyosining taxminan \(1.2\times10^5\) va \(1.4\times10^5\) baravari sifatida qayd etilgan.

Yanada ilgʻor AMMC yondashuvida energiya oqimi faqat klassik magnit dipol nurlanishi sifatida tushuntirilmaydi. SAW ichidagi fononlar nanomagnitlardagi magnonlarga, magnonlar esa electromagnetic field ichidagi fotonlarga bogʻlanadi. Manba buni tripartite phonon–magnon–photon coupling deb ataydi. Nanomagnit massivining intrinsic hybrid magneto-dynamical mode chastotasi SAW chastotasiga mos kelganda resonant energy transfer kuchayishi mumkin. Manba Table 1-da 14 GHz va orientation 2 sharoitida 0.544, yaʼni %54.4 radiation efficiency qayd etadi; bu sharhning natijalar bo‘limidagi “muayyan rezonans chastotalarida %50 dan yuqori samaradorlik” ifodasining raqamli misollaridan biridir.

Tadqiqotning boshqa muhim yoʻnalishida uch o‘lchovli topologik izolyatorning spin–momentum locked surface states xususiyati ishlatiladi. Alternating charge current yoʻnalishi oʻzgarganda sirt spin polarization yoʻnalishi ham oʻzgaradi; hosil boʻlgan spin current nanomagnitlarga alternating spin-orbit torque qoʻllaydi va spin waves hosil qiladi. Tok yoʻnalishini oʻzgartirish spin oscillation axis va radiation pattern-ni oʻzgartirgani sababli toʻlqin uzunligidan juda kichik bitta antenna elementi bilan beam steering mumkin boʻlishi mumkin. Ushbu mexanizm manba tomonidan aniq quantum-mechanical origin sifatida taʼriflanadi.

Heavy-metal asosidagi Spin Hall nano-antenna esa boshqa spintronik yoʻldan foydalanadi. Uzatgich rejimida alternating charge current Spin Hall effect orqali alternating spin current va spin-orbit torque hosil qiladi; undan paydo bo‘lgan spin waves elektromagnit toʻlqin chiqaradi. Qabul qilgich rejimida jarayon teskari yoʻnalishda ishlaydi: incident electromagnetic radiation spin waves hosil qiladi, ushbu spin waves heavy metal-ga spin pumping qiladi va inverse Spin Hall effect orqali oʻlchanadigan alternating voltage paydo boʻladi. 2.4 GHz receiver tajribasidan hisoblangan gain taxminan −9 dB bo‘lgan va manbada berilgan conventional small-antenna limitidan taxminan 36 dB, yaʼni taxminan 4000 marta yuqori ekani bildirilgan.

“Kvant-imkoniyatli” soʻzi bu yerda kvant kompyuter yoki qubit ishlatilishini anglatmaydi. Tadqiqot quantum computing experiment emas. Kvant xususiyati spin, magnon, phonon, topological surface state, spin–momentum locking va Spin Hall physics kabi condensed-matter/spintronics jarayonlaridan kelib chiqadi. Sharh, shuningdek, ayrim dinamikalarni Landau–Lifshitz–Gilbert yoki Maxwell asosidagi klassik/fenomenologik modellar bilan tushuntiradi; shu sabab butun antenna xatti-harakatini faqat bitta toʻliq kvant modeliga keltirish toʻgʻri emas.

Kvant-Imkoniyatli Spintronik “Kichik” Antenna Nimani Anglatadi?

Kvant-imkoniyatli spintronik kichik antenna fizik o‘lchami tarqalayotgan elektromagnit toʻlqin uzunligidan ancha kichik bo‘lgan va antenna xatti-harakatining kamida bir asosiy bosqichida magnonlar, spin toklar, spin–orbit coupling, spin–momentum locking yoki Spin Hall effect kabi spintronik/kvant-qattiq-jism mexanizmlaridan foydalanadigan antenna sinfidir; bu atama kvant kompyuterida ishlaydigan antenna degani emas.

“Kichik antenna” nega murakkab muammo?

Klassik antenna vaqt bo‘yicha o‘zgaruvchi charge/current distribution orqali electromagnetic radiation hosil qiladi. Antenna o‘lchamlari radiated wavelength bilan taqqoslanadigan bo‘lsa, spatial charge separation va resonant current distribution hosil qilish osonroq. Antenna ancha kichraytirilganda classical electrically small antenna physics radiation resistance va loss resistance o‘rtasidagi muvozanatning noqulay tomonga o‘zgarishiga olib kelishi mumkin.

Manba radiation efficiency-ni:

\[ \eta= \frac{R_{\mathrm{rad}}} {R_{\mathrm{rad}}+R_{\mathrm{loss}}} \]

ko‘rinishida beradi.

Bu yerda:

• \(\eta\): radiation efficiency; o‘lchovsiz nisbat,
• \(R_{\mathrm{rad}}\): electromagnetic radiation-ga uzatilgan quvvatni ekvivalent zanjir nuqtai nazaridan ifodalovchi radiation resistance, birligi ohm,
• \(R_{\mathrm{loss}}\): o‘tkazuvchanlik, eddy current, damping va boshqa yo‘qotishlar bilan bog‘liq ekvivalent resistance, birligi ohm.

Tenglama bevosita quyidagi matematik natijani beradi: \(R_{\mathrm{loss}}\) o‘zgarmay turgan holda \(R_{\mathrm{rad}}\) kamayganda \(\eta\) kamayadi; \(R_{\mathrm{loss}}\) kamaytirilsa efficiency ortadi. Nanomagnit ishlatishning muhim sabablaridan biri ham eddy-current loss-ni kamaytirib, \(R_{\mathrm{loss}}\) hadini pasaytirishdir.

Harrington Chegarasi Ushbu Tadqiqotda Qanday Ishlatiladi?

Sharh klassik elektromagnit prinsiplarda ishlaydigan extreme-sub-wavelength antennalarning erisha oladigan radiation efficiency miqyosini taxminan \(A/\lambda_{\mathrm{EM}}^2\) bilan ifodalangan Harrington-type size limit orqali taqqoslaydi va keltirilgan spintronik/magneto-elastik tajribalarda o‘lchangan samaradorliklar ushbu klassik miqyosdan ancha yuqori ekanini bildiradi.

Manba kirishda qisqa dipol uchun qo‘shimcha ravishda:

\[ R_{\mathrm{rad}} = 20\pi^2 \left(\frac{A}{\lambda}\right)^2 \ \Omega \]

ifodasini yozadi.

Manba notatsiyasi bo‘yicha muhim ogohlantirish: Xuddi shu paragrafda \(A\ll\lambda^2\) sharti va keyinroq \(A/\lambda_{\mathrm{EM}}^2\) ishlatilgani sababli \(A\) maydon kabi tutadi. Biroq yuqoridagi \(A/\lambda\) nisbati, agar \(A\) maydon bo‘lsa, o‘lchovsiz emas. Manba Eq. (5)-da \(A\)-ni aniq “antenna area” deb taʼriflaydi. Verianla ushbu kirish tenglamasini taxmin bilan o‘zgartirmagan; manbaning belgi ishlatishidagi o‘lchamli noaniqlik ko‘rinadigan holda saqlanadi.

Sharhning asosiy taqqoslash kattaligi:

\[ \frac{A}{\lambda_{\mathrm{EM}}^2} \]

ko‘rinishidadir. \(A\) antenna maydoni va \(\lambda_{\mathrm{EM}}\) free-space electromagnetic wavelength bo‘lganda ushbu nisbat o‘lchovsizdir.

Klassik kichraytirish muammosi shunchaki “antenna kichik bo‘lgani uchun kam quvvat beradi” kabi sodda geometrik holat emas. Antenna kichraygan sari stored reactive energy, radiation resistance, matching, loss va bandwidth kabi kattaliklar birgalikda muammoga aylanadi. Ushbu sharh ularning barchasini qayta keltirib chiqarish o‘rniga radiation efficiency/gain nuqtai nazaridan \(A/\lambda^2\) miqyosini taqqoslash mezoni sifatida ishlatadi.

Akustik toʻlqindan foydalanish nega miqyosni oʻzgartiradi?

Magneto-elastik antennaning excitation resonance-i electromagnetic wavelength o‘rniga acoustic wavelength bilan bog‘liq bo‘lishi mumkin. Manba bir xil chastotada ko‘plab piezoelektriklarda acoustic/SAW wavelength elektromagnetic wavelength-dan taxminan besh order of magnitude kichik bo‘lishi mumkinligini bildiradi.

Agar:

\[ \lambda_{\mathrm{ac}} \sim 10^{-5}\lambda_{\mathrm{EM}}, \]

bo‘lsa, \(1/\lambda^2\) miqyosi tufayli:

\[ \frac{1}{\lambda_{\mathrm{ac}}^2} \sim 10^{10} \frac{1}{\lambda_{\mathrm{EM}}^2}. \]

Bu manbada ko‘rsatilgan taxminan o‘n order-of-magnitude miqyos farqining matematik sababidir. Ammo haqiqiy antenna efficiency ushbu ideal acoustic-scale limit-ga yetmaydi; manba eddy-current losses va Gilbert damping kabi mexanizmlar haqiqiy samaradorlikni keskin kamaytirishini aniq bildiradi.

Magnetostriction va Villari effect nima?

Magnetostriction ferromagnetic/magnetostrictive materialning magnetization state-i bilan mexanik deformation/strain o‘rtasida coupling mavjudligidir. Inverse magnetostriction yoki Villari effect esa qo‘llangan mechanical strain magnetic anisotropy va magnetization dynamics-ni o‘zgartirishidir.

Magneto-elastik antenna zanjiri manbada quyidagicha quriladi:

elektr RF qoʻzgʻatish → piezoelektrikda SAW → davriy strain → inverse magnetostriction → magnetization precession/spin dynamics → electromagnetic radiation.

Nega bulk magnet o‘rniga nanomagnit massivi ishlatiladi?

Bulk conductive magnet ichidagi o‘zgaruvchan magnit/elektr maydonlar katta eddy-current loops hosil qilishi mumkin. Ushbu circulating currents Joule loss hosil qiladi va \(R_{\mathrm{loss}}\) hadini kattalashtiradi. Nanomagnets-ning lateral o‘lchamlari kichik bo‘lgani sabab katta eddy-current loops hosil bo‘lishi fizik jihatdan cheklanadi.

Manbada keltirilgan birinchi nanomagnet-array namunasi magnetostrictive Co nanomagnets-ni LiNbO₃ piezoelectric substrate ustiga joylashtirish orqali yaratilgan. Tajribaviy Figure 4-da nanomagnets taxminan 360 nm major axis, 330 nm minor axis va 6 nm thickness qiymatlariga ega.

144 MHz SAW excitation ostida real sample bilan control sample o‘rtasida:

\[ \Delta P=8\ \mathrm{dB} \]

farq qayd etilgan. Manba buni power jihatidan taxminan:

\[ 6.3\times \]

deb ifodalaydi.

Manba Sample A uchun taxminan:

\[ \eta_A=1.4\times10^{-4} \]

va Sample B uchun:

\[ \eta_B=8.8\times10^{-4} \]

radiation efficiency ni baholaydi.

Ularga mos:

\[ A/\lambda_{\mathrm{EM}}^2 \]

nisbatlari tegishlicha \(1.25\times10^{-9}\) va \(6.25\times10^{-9}\) sifatida berilgan. Manba o‘lchangan/baholangan efficiencies ushbu classical comparison scale-dan taxminan \(1.2\times10^5\) va \(1.4\times10^5\) marta yuqori ekanini bildiradi.

900 MHz excitation ostida xuddi shunday aniq radiation enhancement kuzatilmagan. Muallif buni yuqori chastotada magnetization tez o‘zgaruvchi strain-ni katta burchak bilan kuzata olmasligi ehtimoli bilan bog‘laydi. Ushbu mexanizm jumlasi manbaning talqinidir; to‘g‘ridan-to‘g‘ri mustaqil frequency-response model fit emas.

Fonon–Magnon–Foton Bogʻlanishi Antenna Nurlanishiga Qanday Aylanadi?

Tripartite phonon–magnon–photon coupling-da piezoelektrikdagi sirt akustik toʻlqin fononlari magnetostrictive nanomagnets ichidagi hybrid spin-wave/magnon modes-ga energiya uzatadi; ushbu magnonik modlar ham magnon–photon coupling orqali energiyani tarqalayotgan electromagnetic field-ga uzatadi va rezonans yuz berganda ushbu zanjirning birinchi bosqichi sezilarli kuchayishi mumkin.

Fonon nima?

Fonon crystal lattice ichidagi kollektiv tebranishning quantum excitation ekvivalentidir. SAW makroskopik tarzda elastic wave ko‘rinishida kuzatilsa ham, quantum tilida lattice vibration energy fononlar orqali ifodalanishi mumkin.

Magnon nima?

Magnon ordered magnetic system ichidagi kollektiv spin-wave excitation-ning quantum ekvivalentidir. Nanomagnet ichida magnetization-ning fazo va vaqtda birgalikda tebranishi spin wave sifatida ko‘rilishi mumkin; ayni excitation quantum tilida magnon deb ifodalanadi.

Foton nima?

Foton electromagnetic field-ning quantum excitation-dir. Antennaning atrofga elektromagnit energiya tarqatishi quantum description nuqtai nazaridan photon emission bilan bogʻlanishi mumkin.

Hybrid magneto-dynamical mode nima?

AMMC tuzilmasidagi ayrim modlar sof acoustic wave yoki sof spin wave emas. Magneto-elastic coupling sabab spin va elastic-wave character-ni birga olib yuradi. Manba ularni hybrid magneto-dynamical modes deb ataydi.

Nanomagnets-ning:

• o‘lchami,
• shakli,
• materiali,
• array geometry-si,
• array pitch-i,
• SAW propagation direction-i

intrinsic-mode frequencies, power profiles va phase profiles-ga taʼsir qilishi mumkin.

Intrinsic va extrinsic mode o‘rtasidagi farq

Intrinsic mode nanomagnet array-ning geometrik va material xususiyatlari bilan belgilanadigan xarakterli moddir. Extrinsic mode esa manba bayonida tashqi excitation-ning, masalan SAW-ning o‘z frequency-sida hosil bo‘ladigan moddir.

Agar:

\[ f_{\mathrm{SAW}} = f_{\mathrm{intrinsic}}, \]

yoki amalda yetarlicha yaqin bo‘lsa resonant excitation hosil bo‘lishi mumkin. Manba phonon-to-magnon energy transfer resonant holatda non-resonant excitation-ga qaraganda ancha kuchli bo‘lishi mumkinligini bildiradi.

AMMC nima?

Artificial Multiferroic Magnonic Crystal (AMMC) piezoelectric substrate ustida davriy two-dimensional magnetostrictive nanomagnet array-dan tashkil topgan tuzilmadir. “Magnonic crystal” nomi periodicity spin-wave propagation-ga periodic boundary conditions berishi bilan, “artificial multiferroic” nomi esa magnetostrictive magnetic phase va piezoelectric phase o‘rtasidagi elastik coupling multiferroic xatti-harakatni taqlid qilishi bilan izohlanadi.

Manba phonon–magnon coupling rigorously quantum-mechanical treatment talab qilishini bildirar ekan, ayni mexanizmning sifat jihatidan tushuntirishi uchun time-varying strain magnetostrictive nanomagnet ichida effective time-varying magnetic field hosil qiladigan klassik doiradan ham foydalanadi. Keltirilgan micromagnetic tadqiqotlarda Landau–Lifshitz–Gilbert equations yordamida magnetization oscillations va mode profiles hisoblangan. Shu sabab tadqiqot quantum terminology bilan classical/semiclassical modeling-ni birgalikda ishlatadi.

Efficiency 0.544 to‘g‘ridan-to‘g‘ri foizga aylantirilganda %54.4 bo‘ladi. Bu o‘zgartirish yangi tajriba natijasi emas; ayni dimensionless nisbatning foizli ko‘rinishidir.

Nega faqat S11 dip-ni ko‘rish yuqori radiation efficiency degani emas?

\(S_{11}\) manbaga qaytgan reflected microwave signal bilan bog‘liq scattering parameter-dir. Manbada 5, 14, 30 va 35 GHz atrofida aniq \(S_{11}\) dips ko‘rilishi ushbu frequencies-da sample input power-ni kuchliroq absorbe/couple qilayotganining belgisi sifatida talqin qilinadi.

Biroq yuqori absorption o‘z-o‘zidan kuchli electromagnetic radiation kafolati emas. Energiya zanjirida kamida ikki muhim conversion mavjud:

1. SAW / phonon → hybrid spin-wave / magnon,
2. magnon → photon / electromagnetic radiation.

Manba 30 va 35 GHz-da birinchi coupling kuchli bo‘lsa ham, ikkinchi magnon–photon conversion ayni darajada kuchli bo‘lmasligi mumkinligini; shu sabab \(S_{11}\) dips mavjud bo‘lsa-da 5 va 14 GHz dagidek yuqori radiation efficiency kuzatilmaganini taklif qiladi.

Bitta Ultra-Sub-To‘lqin-Uzunlikli Antenna bilan Beam Steering Qanday Mumkin?

Sharhda bitta-element beam steering antenna fizik jihatdan point-source miqyosida bo‘lsa ham, nanomagnets ichidagi spin-wave power va phase profiles yo‘nalishga bog‘liq “internal anisotropy” hosil qilishi tufayli amalga oshadi; SAW yoki charge-current yo‘nalishi o‘zgartirilganda spin-wave pattern va shunga mos ravishda far-field radiation pattern ham o‘zgaradi.

Klassik phased array nega ishlatiladi?

Oddiy beam steering tizimlarida turli antenna elements o‘rtasida controlled phase differences hosil qilinadi. Multiple elements birgalikda interference pattern hosil qilib radiation main lobe yo‘nalishini o‘zgartiradi.

Ushbu yondashuv fizik jihatdan katta phased arrays talab qilishi mumkin. Manbada muhokama qilingan spintronic antennas esa xuddi shu vazifani bitta extreme-sub-wavelength element ustida internal magnetization/spin-wave pattern-ni o‘zgartirish orqali bajarishni maqsad qiladi.

AMMC beam steering mexanizmi

Elliptical nanomagnets va anisotropic array spacing sabab AMMC rotationally symmetric emas. SAW direction o‘zgartirilganda:

• effective magneto-elastic field yo‘nalishi o‘zgaradi,
• qo‘zg‘atilgan intrinsic/hybrid mode profile o‘zgaradi,
• magnetization oscillation waveform o‘zgaradi,
• emitted radiation spectrum va radiation pattern o‘zgaradi.

Manbada 1 GHz-da SAW direction 90° burilganda horizontal-polarization radiation pattern taxminan 90° clockwise burilgani; vertical-polarization pattern esa taxminan 300° counter-clockwise burilishi mumkinligi qayd etilgan. Frequency oshgani sari pattern yanada isotropic bo‘lib, steering effect zaiflashishi bildiriladi.

Manba atrofga joylashtirilgan electrode pairs-ning sequential activation-i bilan SAW propagation direction bosqichma-bosqich o‘zgartirilib principal lobe plane bo‘ylab skan qilinishi mumkin bo‘lgan AESA-ga o‘xshash funksiyani konseptual tarzda taklif qiladi. Biroq radiation pattern rotation davomida pattern shape to‘liq saqlanmasligini ham aniq bildiradi.

Orientation 2 uchun manba ichidagi elektrod nomuvofiqligi

Manba Figure 7 caption-da orientation 2 uchun electrodes 5 va 7 faollashtirilganini yozadi. Figure 11 caption esa ayni orientation 2-ni electrodes 5 va 6 o‘rtasida microwave source ulanishi sifatida taʼriflaydi. Ushbu ikki bayon manba ichida bir-biriga mos kelmaydi. Verianla qaysi juftlik to‘g‘ri ekanini manba nomidan hal qilmaydi.

Polarization switching

Manba horizontal polarization component-ni \(h\), vertical component-ni \(v\) deb belgilab, polarization angle-ni:

\[ \theta = \tan^{-1} \left( \frac{v}{h} \right) \tag{1} \]

ko‘rinishida beradi.

Bu yerda:

• \(\theta=0\): to‘liq horizontal polarization,
• \(\theta=\pi/2\): to‘liq vertical polarization

deb talqin qilinadi.

Manbada 5.9 GHz frequency va nanomagnets plane ichidagi 70° direction uchun orientation 1-da \(\theta\) taxminan 0, orientation 2-da taxminan \(\pi/2\) topiladi. Ushbu maxsus frequency/direction combination-da SAW direction o‘zgarishi emitted beam polarization-ni taxminan horizontal bilan vertical o‘rtasida almashtira olgani uchun bits 0 va 1 polarization orqali kodlanishi mumkin.

Ushbu xususiyat barcha frequencies va barcha spatial directions uchun amal qilmaydi. Manba uning muayyan frequency va alignment sharoitlarida ishlashini aniq bildiradi.

Covert communication va stealth daʼvolarining chegarasi

Manba to‘g‘ri polarization states faqat muayyan direction/frequency combinations-da olinishi covert communication, steganography va stealth uchun afzallik deb talqin qiladi. Shuningdek manufacturing variations sabab to‘g‘ri alignment/frequency combination sample-specific bo‘lishi mumkinligi va bu physical unclonable function (PUF) ga o‘xshash xatti-harakatni yuzaga keltirishi mumkinligini taklif qiladi.

Biroq sharh keng qamrovli cryptographic security proof, entropy analysis, large-population PUF uniqueness/reliability benchmark yoki adversarial eavesdropping campaign taqdim etmaydi. Shuning uchun “kriptografiyani mutlaqo almashtiradi” yoki “buzib bo‘lmaydigan aloqa beradi” degan xulosa ushbu manbadan chiqarilmaydi. Manbadagi security tili ehtimoliy application interpretation sifatida ko‘rilishi kerak.

Topologik Izolyator Antenna Nega Kvant-Imkoniyatli Hisoblanadi?

Uch o‘lchovli topologik izolyator asosidagi antenna sirt elektronlarining spin–momentum locking xususiyatidan foydalanib charge-current yo‘nalishini spin polarization yo‘nalishiga bog‘lagani va ushbu quantum-mechanical surface-state xususiyatini nanomagnitlarda spin-orbit torque va beam steering hosil qilish uchun ishlatgani sabab manba tomonidan kvant-imkoniyatli deb tasniflanadi.

3D topological insulator nima?

Manbaning idealized taʼrifida three-dimensional topological insulator (3D-TI) bulk qismi insulating, surface qismi conducting bo‘lgan quantum-material sinfidir.

Surface electrons uchun spin–momentum locking elektron momentum yo‘nalishi bilan spin polarization o‘rtasida doimiy angular relation mavjudligini anglatadi. Manba bu munosabatni spin momentum direction-ga perpendicular bo‘lishi tarzida bayon qiladi.

Charge current qo‘llanganda sof carrier momentum hosil bo‘ladi. Top va bottom surfaces opposite spin polarizations olib yuradi; bu surfaces-ga perpendikulyar spin current hosil qilishi mumkin.

Top surface ustidagi nanomagnet ushbu spin current-dan spin injection olishi mumkin.

Alternating current qanday radiation hosil qiladi?

Charge-current direction teskari aylantirilganda spin polarization ham teskari aylanadi. Shu sabab alternating charge current:

alternating surface spin polarization → alternating spin current → alternating spin-orbit torque → spin-wave excitation → magnon–photon coupling → electromagnetic radiation

zanjirini hosil qiladi.

Ushbu spin waves AMMC-dagi phonon–magnon coupling natijasida paydo bo‘ladigan hybrid magneto-dynamical modes bilan bir xil emas. Manba ushbu farqni aniq ko‘rsatadi.

Tajribaviy topologik tuzilma

Keltirilgan tajribada taxminan 15.36 million slightly elliptical Co nanomagnet 20 nm qalinlikdagi Bi₂Se₃ 3D topological-insulator film ustiga joylashtirilgan.

Bitta nanomagnet uchun manba taxminan:

• major axis: 120 nm,
• minor axis: 110 nm,
• Co thickness: 6 nm,
• ostidagi Ti adhesion layer: 5 nm

qiymatlarini beradi.

Nanomagnets o‘rtasidagi edge-to-edge separations taxminan 30 nm va 50 nm deb qayd etilgan. Umumiy antenna area taxminan 0.003 cm².

1–10 GHz alternating current qo‘llangan; radiation patterns 3.4, 5 va 10 GHz-da anechoic chamber ichida polarization-sensitive horn antenna bilan o‘lchangan. Input power 1 mW deb berilgan.

Manbadagi to‘lqin uzunligi tartibi bo‘yicha ogohlantirish: Matn 3.4, 5 va 10 GHz uchun free-space wavelengths qiymatlarini ayni tartibda “3, 6 va 9 cm” deb yozadi. Asosiy munosabat:

\[ \lambda=\frac{c}{f} \]

qo‘llanganda chastota oshgan sari wavelength kamayishi kerak; taxminiy mosliklar 3.4 GHz uchun 8.8 cm, 5 GHz uchun 6.0 cm va 10 GHz uchun 3.0 cm. Shuning uchun manbada berilgan 3/6/9 cm tartibi frequency tartibiga mos emas. Ushbu nuqta manba ichidagi tartib nomuvofiqligi sifatida saqlangan.

Real sample nega ayrim yo‘nalishlarda control sample-dan zaifroq ko‘rinishi mumkin?

Bu holat manbaning eng muhim o‘lchov talqinlaridan biridir. Real sample faqat nanomagnets-dan radiation olmaydi; contact pads, connectors va boshqa peripherals ham electromagnetic radiation hosil qilishi mumkin.

Nanomagnet radiation amplitude-ni \(n\), peripheral radiation amplitude-ni \(p\), ular orasidagi phase difference-ni \(\phi\) deb yozsak, manbada ishlatilgan interference munosabati:

\[ \left| n+p\,e^{i\phi} \right|^2 = |n|^2+|p|^2+ 2|n||p|\cos\phi \]

ko‘rinishidadir.

\(\cos\phi<0\) bo‘lganda destructive interference yuz berishi mumkin. Shu sabab real sample-da nanomagnets haqiqatan radiation hosil qilayotgan bo‘lsa ham, muayyan detector directions-da total received power control sample-dan kichik bo‘lishi mumkin.

Bu ayni paytda quyidagi muhim natijani beradi:

Real-sample power-dan control-sample power-ni oddiy arifmetik tarzda ayirish nanomagnets-ning yakka o‘zi radiated power qiymatini bermaydi.

Manba 10 GHz, orientation 1 va 225° direction-da horizontal polarization uchun control sample gain taxminan −50 dBi, real sample gain taxminan −20 dBi ekanini bildiradi. Taxminan 30 dB farq power ratio jihatidan 1000 marta darajasidadir va manba buni nanomagnets radiation hosil qilayotganiga kuchli dalil deb talqin qiladi.

dB, dBm va dBi nega bir xil emas?

Ushbu uch birlik tadqiqot davomida turli vazifalarda uchraydi. dB ikki power yoki amplitude darajasining logarithmic nisbatidir. dBm absolute power-ni 1 mW tayanchga nisbatan ko‘rsatadi. dBi esa antenna gain-ni ideal isotropic radiator-ga nisbatan ifodalaydi.

O‘quv izohi sifatida power ratio uchun:

\[ \frac{P_2}{P_1} = 10^{\Delta_{\mathrm{dB}}/10} \]

munosabati ishlatiladi. Shu sabab 8 dB power difference taxminan \(10^{0.8}\approx6.3\) marta; 30 dB esa \(10^3=1000\) marta farq degani. Bu matematika manbadagi 6.3× va 1000× ifodalarni tushuntiradi; yangi tajriba natijasi emas.

Spin Hall Nano-Antenna Ham Uzatgich, Ham Qabul Qilgich Sifatida Qanday Ishlaydi?

Spin Hall nano-antenna uzatgich rejimida heavy metal ichidagi alternating charge current-ni Spin Hall effect orqali transverse spin current-ga, so‘ng nanomagnets ichidagi spin-orbit-torque-driven spin waves-ga aylantiradi; qabul qilgich rejimida esa incident electromagnetic wave hosil qilgan spin waves heavy metal-ga spin pumping qiladi va inverse Spin Hall effect ushbu spin tokini elektr jihatdan o‘lchanadigan alternating voltage-ga aylantiradi.

Spin Hall effect nima?

Strong spin–orbit interaction-ga ega Pt yoki Ta kabi heavy metals ichidan charge current o‘tkazilganda opposite spin states transverse directions-ga ajralib, charge-current direction-ga perpendikulyar spin current hosil bo‘lishi mumkin. Manba SHNA-da ushbu effect-ni spin current-ni nanomagnets-ga injeksiya qilish uchun ishlatadi.

Spin-orbit torque nima qiladi?

Injected spin angular momentum ferromagnetic nanomagnet magnetization-ga torque qo‘llaydi. Alternating current ishlatilganda torque ham alternating bo‘ladi. Manbaga ko‘ra bu domain-wall motion, magnetization precession yoki ikkalasini ham yuzaga keltirishi va spin waves-ni excite qilishi mumkin.

Transmitting SHNA tuzilishi

Keltirilgan SHNA misolida:

• heavy metal: Pt,
• Pt nanostrip width: taxminan 300 nm,
• Pt thickness: 5 nm,
• 3000 linear array,
• har bir array uchun 95 nanomagnet,
• jami nanomagnet: 285,000

ishlatilgan.

Nanomagnets “ledged” rectangular geometry-ga ega. Manba ushbu tuzilma acoustic antenna functionality uchun LiNbO₃ substrate va magnetostrictive Co dan ham foydalanishini; faqat electromagnetic antenna maqsad qilinganida Si substrate va non-magnetostrictive nanomagnets ishlatilishi mumkinligini bildiradi.

TR-MOKE bilan spin wave tasdig‘i

Time-resolved magneto-optical Kerr effect (TR-MOKE) measurements ac current qo‘llanishi haqiqatan nanomagnets ichida spin waves hosil qilishini tekshirish uchun ishlatilgan.

Alternating currents:

\[ 1,\ 1.5,\ 2,\ 2.5,\ 3,\ 3.5\ \mathrm{GHz} \]

frequencies-da va:

\[ 16\ \mathrm{dBm} \]

constant input power ostida qo‘llangan.

Taxminan 1 µm diameter pump/probe spots bir vaqtda ikki nanomagnet-ni namunalagan.

FFT spectra-da pump-current frequency-da kutilgan peak ko‘rilgan; qo‘shimcha higher-frequency peaks ham paydo bo‘lgan. Biroq bu qo‘shimcha peaks sample region o‘zgartirilganda frequency-ni o‘zgartirgani uchun manba ular array-wide intrinsic modes emasligini bildirgan va ehtimoliy strain-pulse-induced vortex modes talqinini bergan.

“Ehtimoliy” so‘zi bu yerda muhim: manba higher-frequency local modes origin-i complete certainty bilan aniqlanmaganini ochiq aytadi.

SHNA radiation measurements

Transmitting SHNA radiation patterns:

\[ 1,\ 2,\ 3,\ 4,\ 5,\ 6\ \mathrm{GHz} \]

frequencies-da measured qilingan.

Real va control samples birga ishlatilgan. 1 GHz, vertical polarization va 290° direction uchun manba:

• real sample gain: −30 dBi dan yuqori,
• control sample gain: −60 dBi dan past

ekanini bildiradi.

Farq 30 dB dan katta va manba buni nanomagnets radiation hosil qilayotganining kuchli dalili deb talqin qiladi.

Ushbu SHNA configuration beam steering qila olmasligi manba tomonidan aniq ko‘rsatilgan. Beam-steering xususiyati ayni sharhdagi 3D-TI va AMMC antennalar bilan aralashtirilmasligi kerak.

Receiving SHNA qanday ishlaydi?

Receiver process:

incident EM wave → nanomagnets-da spin-wave excitation → spin pumping → heavy metal ichida inverse Spin Hall effect → AC electrical voltage

zanjiriga amal qiladi.

Incident electromagnetic radiation spin waves-ni ikki yo‘l bilan excite qilishi mumkin: oscillating magnetic-field coupling va parametric pumping. Periodic nanomagnet array-da intrinsic va extrinsic modes birga yuzaga kelishi mumkin.

Receiver sinov qurilmasi

Manbada keltirilgan experiment-da real sample va nanomagnet bo‘lmagan control sample:

• 2.4 GHz,
• 1.5 GHz

microwave radiation bilan yoritilgan.

Horn antenna microwave source power:

\[ 5\ \mathrm{dBm} \]

deb berilgan.

Ikki antenna–sample separation sinovdan o‘tkazilgan:

• 6 inch,
• 100 cm.

Control sample-da 6 inch separation-da ko‘rilgan signal input bilan bir xil waveform/frequency va deyarli ayni phase-ga ega bo‘lgani uchun direct electromagnetic pickup deb talqin qilingan. 100 cm separation-da control output o‘lchanadigan bo‘lmagan.

Real sample-da esa output signal:

• input bilan bir xil frequency composition-ga ega emas,
• waveform boshqacha,
• aniq phase shift mavjud.

Manba ushbu farqlarni direct pickup o‘rniga EM → spin wave → spin pumping → inverse Spin Hall conversion zanjirining dalili deb talqin qiladi.

Receiver FFT dagi 750 MHz peak nimani anglatadi?

2.4 GHz incident excitation ostida real-sample receiver FFT-da dominant peak:

\[ 750\ \mathrm{MHz} \]

atrofida topilgan.

Shuningdek, taxminan:

\[ 2.5\ \mathrm{GHz} \]

satellite peak ko‘rilgan.

750 MHz peak ham 6 inch, ham 100 cm separation-da paydo bo‘lgan va incident frequency 1.5 GHz-ga o‘zgartirilganda ham manbada bildirilganidek saqlanib qolgan. Muallif buni nanomagnet array-ning intrinsic spin-wave mode-i bo‘lish ehtimoli bilan bog‘laydi.

Receiver output incident signal-dan farqli frequency components olib yurishi manbada covert communication uchun ehtimoliy xususiyat deb talqin qilinadi: transmission frequency-ni biladigan intended receiver narrow-band filter orqali carrier component-ni chiqarib olishi mumkin. Biroq bu kriptografik xavfsizlik testi emas.

Receiver gain tenglamasi

Manba Eq. (2)-da receiver gain \(G_r\)-ni:

\[ \frac{P_r}{P_t} \approx \frac{V_{\mathrm{out}}^2} {V_{\mathrm{in}}^2} = G_tG_r \frac{\lambda^2} {4\pi R^2} \tag{2} \]

munosabati orqali hisoblaydi.

Bu yerda:

• \(P_r\): received power,
• \(P_t\): transmitted power,
• \(V_{\mathrm{out}}\): receiver output waveform amplitude,
• \(V_{\mathrm{in}}\): transmitter/input waveform amplitude,
• \(G_t\): transmitting horn antenna gain,
• \(G_r\): receiving SHNA gain,
• \(\lambda\): incident electromagnetic wave-ning free-space wavelength-i,
• \(R\): horn antenna va sample o‘rtasidagi separation.

\(G_t\) va \(G_r\) linear ko‘rinishda o‘lchovsiz gain ratios. \(\lambda^2/R^2\) ham o‘lchovsiz bo‘lgani uchun equation dimensionally consistent.

2.4 GHz-da transmitting horn gain:

\[ G_t=9.6\ \mathrm{dB}=9.12 \]

deb olingan.

Manba 6-inch data uchun:

\[ G_r=0.1277=-8.9\ \mathrm{dB} \tag{3} \]

va 100 cm data uchun:

\[ G_r=0.116=-9.3\ \mathrm{dB} \tag{4} \]

hisoblaydi.

Ikki qiymatning bir-biriga yaqinligi receiver gain separation-dan taxminan mustaqil bo‘lishi kutilishi bilan mos deb talqin qilingan.

Conventional gain limit taqqoslashi

Manba conventional electrically small antenna uchun taxminiy maximum transmitting gain miqyosini:

\[ G_t^{\max} = \frac{A}{(2\pi\lambda)^2} + \frac{\sqrt{A}}{\pi\lambda} \tag{5} \]

deb beradi.

Bu yerda \(A\) aniq antenna area, \(\lambda\) free-space wavelength.

Reciprocity principle yordamida ayni miqyos receiving gain uchun ham amal qilishi kutilishi bildiriladi.

Tegishli SHNA uchun manba classical theoretical limit-ni taxminan:

\[ 3.22\times10^{-5} \approx -45\ \mathrm{dB} \]

deb hisoblaydi va measured receiver gain taxminan 36 dB, yaʼni taxminan 4000 marta kattaroq ekanini bildiradi.

Tadqiqot Usuli va Natijalari

Ushbu manba original bitta-tajriba maqolasi emas; turli yillarda chop etilgan tajribaviy va modellashtirish tadqiqotlarini bir xil fizik doirada birlashtirgan sharhdir. Shu sabab quyidagi usul va natijalar sharh keltirgan oldingi tadqiqotlarning usullari va o‘lchovlarini tizimli ravishda ajratadi.

Sharhda taqqoslangan asosiy antenna oilalari

Asosiy miqdoriy natijalarning shartli xulosasi

Beam steering uchun tajribaviy nazorat mantig‘i

3D-TI experiment-da ikkita nominally identical sample ishlatilgan:

• real sample: nanomagnets + peripherals,
• control sample: nanomagnets yo‘q, peripherals mavjud.

Ushbu nazorat radiation contact pads, cables yoki substrate kabi parasitic sources-danmi yoki nanomagnets-danmi kelayotganini ajratishga yordam beradi.

Manba, shuningdek, control radiation pattern ham current direction bilan o‘zgarishi mumkinligi sababli faqat “orientation 1 bilan orientation 2 farqli” deyish beam steering dalili uchun yetarli emasligini bildiradi. Real va control samples ayni angular change-ga bir xil javob beradimi-yo‘qmi alohida baholangan.

Ayniqsa 3.4 va 5 GHz-da real-sample horizontal-polarization radiation pattern, charge-current direction 90° burilganda taxminan 90° rotation ko‘rsatgan. Manba buni spin-momentum-locking-driven beam steering uchun bevosita qo‘llab-quvvatlovchi kuzatuv deb talqin qiladi.

Manbada ishlatilgan tajriba va modellashtirish texnikalari

Tadqiqot qo‘llab-quvvatlaydigan natijalar

• Extreme-sub-wavelength nanomagnetic antennas ayrim tajribaviy configurations-da klassik \(A/\lambda^2\)-type comparison scale-dan ancha yuqori radiation efficiency yoki gain ko‘rsatgani qayd etilgan.
• Nanomagnet arrays bulk magnets-ga nisbatan eddy-current losses-ni kamaytirish afzalligini berishi mumkin.
• AMMC-da resonant intrinsic modes muayyan frequencies-da phonon–magnon energy transfer-ni kuchaytirishi mumkin.
• AMMC Table 1-da muayyan frequencies-da juda yuqori radiation efficiencies qayd etilgan; 14 GHz orientation 2 uchun 0.544 ularning eng yuqori misollaridan biridir.
• SAW direction o‘zgarishi AMMC radiation patterns-ni o‘zgartirishi va bitta-element beam steering taʼminlashi mumkin.
• Muayyan AMMC frequency/direction combinations-da approximately orthogonal microwave polarizations o‘rtasida switching ko‘rsatilgan.
• 3D topological-insulator surface-state spin-momentum locking current direction-ni spin-polarization axis bilan bog‘lab beam steering mexanizmini taʼminlashi mumkin.
• 3D-TI/nanomagnet antenna real va control radiation patterns o‘rtasida katta direction-dependent farqlar ko‘rsatgan.
• Spin Hall nano-antenna transmitting functionality real/control taqqoslashi va TR-MOKE spin-wave measurements bilan qo‘llab-quvvatlangan.
• Spin Hall nano-antenna receiver functionality incident EM → spin waves → spin pumping → inverse Spin Hall voltage zanjiri orqali ko‘rsatilgan.
• SHNA receiver gain taxminan −9 dB deb hisoblangan va manbada ishlatilgan conventional limit-dan ancha yuqori topilgan.

Tadqiqot qo‘llab-quvvatlamaydigan natijalar

• Tadqiqot kvant kompyuteri, qubit yoki quantum algorithm yordamida antenna ishlatmagan.
• “Quantum-enabled” ifodasi barcha electromagnetic radiation faqat to‘liq quantum-field calculation bilan tushuntirilishini anglatmaydi.
• Barcha kichik antennalar Harrington-type limits-ni bir xil miqdorda oshirishi ko‘rsatilmagan.
• AMMC-dagi yuqori efficiency qiymatlari broadband va barcha directions uchun amal qilmaydi; discrete frequencies va orientations-ga bog‘liq.
• 14 GHz-dagi %54.4 efficiency boshqa frequency, geometry yoki material system-ga avtomatik o‘tkazilmaydi.
• Beam steering barcha frequencies-da bir xil kuchli emas.
• Spin Hall transmitter configuration beam steering ko‘rsatmagan.
• Medical implants ushbu sharhda hayvon yoki odamda klinik sinovdan o‘tkazilmagan.
• Battery-free implant g‘oyasi qo‘llanish ehtimolidir; implant prototype validation emas.
• Covert communication daʼvolari zamonaviy cryptographic security proof yoki adversarial-security benchmark emas.
• PUF xatti-harakati katta sample population-da uniqueness, reliability va entropy metrikalari bilan tasdiqlanmagan.
• Real-sample power bilan control-sample power o‘rtasidagi farq bevosita nanomagnets-ning yakka o‘zi radiated power emas; interference mavjud.

Asosiy cheklovlar va talqin chegaralari

Ushbu sharh ko‘plab kuchli tajriba natijalarini birlashtirsa-da, natijalar turli devices, frequencies, materials va measurement arrangements-dan kelganini unutmaslik kerak. Bitta standartlashtirilgan platformada barcha mexanizmlarning head-to-head comparison-i bajarilmagan.

Antenna miniaturization bahosida manba ishlatgan Harrington-type \(A/\lambda^2\) miqyosi markaziy taqqoslash vositasidir. Biroq kirishdagi \(A\) notatsiyasi va keyin antenna area sifatida ishlatilgan \(A\) o‘rtasida o‘lchamli ifoda noaniqligi mavjud.

AMMC intrinsic-mode interpretation-da 5, 14 va 15 GHz-dagi yuqori efficiencies resonant-mode explanation bilan bog‘langan; manba “most likely” tilidan foydalanadi. Shu sabab har bir peak uchun mustaqil, yagona mexanizm tasdig‘i amalga oshirilgandek yozilmasligi kerak.

3D-TI experiments-da peripherals va nanomagnets-dan kelgan fields interfere qilgani sabab nanomagnet-only radiation-ning aniq absolute magnitude-ni faqat real-control subtraction orqali chiqarish mumkin emas.

Source text-dagi electrode-pair va wavelength-order nomuvofiqliklari reproduction nuqtai nazaridan eʼtibor talab qiladi.

Qo‘llanish sohalari qanday talqin qilinishi kerak?

Sharhda ehtimoliy applications orasida embedded devices, access control, telemetry, RFID-ga o‘xshash short-range systems, medical implants, miniaturized MIMO, polarization-division multiplexing, covert/stealth communication va antenna authentication sanaladi.

Ularning barchasi bir xil maturity level-da emas. Radiation va beam-steering demonstrations tajribaviy dalilga asoslansa, medical implantation, full communication system deployment, cryptographic replacement yoki large-scale PUF authentication kabi qo‘llanmalar rivojlantirish va alohida tasdiq talab qiladi.

Manba va Usul Haqida Izoh

Asl PDF sarlavhasi: Quantum-enabled Spintronic “Small” Antennas.

arXiv metadata sarlavhasi: Quantum-Enabled Spintronic "Small" Antennas.

Sarlavha yozilishi bo‘yicha qayd: PDF va arXiv metadata o‘rtasida “enabled/Enabled” capitalization farqi mavjud. Verianla asosiy maqolada yuklangan PDF-dagi asl sarlavhani saqlagan.

Muallif: Supriyo Bandyopadhyay.

Mualliflar soni: 1.

Teng hissa: Qo‘llanmaydi; bitta muallif bor.

Corresponding-author holati: Manba alohida “corresponding author” yorlig‘idan foydalanmaydi; yagona muallifning elektron pochta manzili berilgan.

E-pochta: sbandy@vcu.edu

Muassasa: Department of Electrical and Computer Engineering, Virginia Commonwealth University, Richmond, VA 23284, USA.

Platforma: arXiv.

arXiv: arXiv:2607.18469v1 [cond-mat.mes-hall].

Boshqa arXiv mavzu sohalari: Systems and Control va Quantum Physics yozuvlari ham arXiv metadata-da mavjud.

DOI: 10.48550/arXiv.2607.18469.

Rasmiy havola: https://arxiv.org/abs/2607.18469

ArXiv birinchi topshirish sanasi: 20 Iyul 2026.

PDF-da ko‘rsatilgan sana: 22 Iyul 2026.

Manba turi: Sharh/perspektiva xarakteridagi texnik preprint; avvalgi tajribaviy va modellashtirish tadqiqotlarini birlashtiradi.

Taqriz holati: Ko‘rib chiqilgan hujjat arXiv preprint-dir. Exact-title bo‘yicha joriy bibliografik tekshiruvda alohida yakuniy taqrizlangan journal version tasdiqlanmagan.

Jurnal / jild / son: Ko‘rib chiqilgan exact-title manba uchun tasdiqlangan yakuniy jurnal yozuvi mavjud emas.

Umumiy preprint litsenziyasi: Yuklangan PDF bibliografik matni overall manuscript license-ni aniq yozmaydi. Ikkilamchi ro‘yxatlarda CC BY 4.0 maʼlumoti ko‘rinsa ham, rasmiy metadata extraction ichida tasdiqlanmagani sabab Verianla overall preprint-ni taxmin bilan CC BY deb belgilamaydi.

Manba shakllarining litsenziya holati: Sharh ichidagi ko‘plab oldingi shakl caption-larida “reproduced with CC-BY license” yozilgan; ayrim boshqa shakllar IEEE, AIP yoki Royal Society of Chemistry permission bilan keltirilgan. Shu sabab barcha manba shakllari bitta umumiy litsenziya ostida deb qabul qilinmasligi kerak.

Asosiy ilmiy soha: spintronics, magnonics, nanomagnetism, antenna physics, quantum materials va electromagnetics.

Asosiy tadqiqot savoli: Electromagnetic wavelength-ning juda kichik ulushi o‘lchamidagi antennalar klassik electrically small antenna scaling keltirib chiqaradigan efficiency/directivity muammolarini non-classical spintronic mechanisms orqali yenga oladimi?

Tadqiqotning yangi tajriba holati: Ushbu preprint bitta yangi boshdan oxirigacha experimental campaign taqdim etishdan ko‘ra avval chop etilgan experiments va simulations-ni umumlashtiradi.

Asosiy mexanizmlar: inverse magnetostriction/Villari effect; phonon–magnon–photon coupling; spin–momentum locking; spin-orbit torque; Spin Hall effect; spin pumping; inverse Spin Hall effect; magnon–photon coupling.

Asosiy o‘lchov texnikalari: spectrum analysis, vector-network analysis, anechoic-chamber radiation-pattern measurement, TR-MOKE, FFT.

Asosiy simulation usuli: OOMMF micromagnetic simulation; tegishli oldingi tadqiqotlar, shuningdek, Landau–Lifshitz–Gilbert dynamics-ni ishlatgan.

Data Availability: Manba “All data generated are already available in the paper” bayonotini beradi.

Competing Interests: Muallif competing interest yo‘qligini bildiradi.

Acknowledgements: Muallif nanomagnet spin-wave characterization uchun Prof. Anjan Barman bilan, anechoic-chamber radiation measurements uchun Prof. Erdem Topsakal bilan hamkorlikni qayd etadi. Avvalgi doktorantlar Dr. Justine Drobitch va Dr. Raisa Fabiha bu yerda keltirilgan maʼlumotlarning katta qismini to‘plagani bildiriladi.

Moliyalashtirish: Ko‘rib chiqilgan preprint oxirida alohida Funding Statement ko‘rinmaydi. Moliyalashtirish maʼlumoti manbada berilmagani uchun qo‘shilmagan.

Etika qo‘mitasi / inson-hayvon tadqiqoti: Preprint yangi human/animal study haqida xabar bermaydi; alohida ethics statement ko‘rinmaydi. Medical-implant qo‘llanish sohalari amaliyot taklifi darajasida.

Manba ichidagi notatsiya muammosi 1: Kirishda \(R_{\mathrm{rad}}=20\pi^2(A/\lambda)^2\) yozilsa, ayni matn \(A\ll\lambda^2\) va \(A/\lambda^2\) taqqoslashlaridan foydalanadi; Eq. (5) \(A\)-ni aniq antenna area deb taʼriflaydi. Ushbu ifodalar yashirincha birlashtirilmagan.

Manba ichidagi hisobot muammosi 2: Figure 7 orientation 2 uchun electrodes 5 va 7-ni, Figure 11 esa electrodes 5 va 6-ni ko‘rsatadi.

Manba ichidagi hisobot muammosi 3: 3.4, 5 va 10 GHz uchun wavelengths manba matnida mos ravishda 3, 6 va 9 cm tartibida berilgan; \(\lambda=c/f\) bilan fizik frequency–wavelength tartibi buning teskarisidir.

Security talqin chegarasi: Covert communication, stealth va PUF qo‘llanishlari manbada taklif qilinadi va ayrim polarization/frequency-selective xatti-harakatlar bilan qo‘llab-quvvatlanadi; biroq to‘liq cryptographic-security yoki population-scale PUF validation bajarilmagan.