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Hanyoyin Sadarwa na Terahertz na Hollow-Core Tare da Masu Hana Rikicin Hyperuniform

Bincike kan sabbin hanyoyin sadarwa na THz na hollow-core ta amfani da masu hana rikicin hyperuniform, wanda aka yi ta hanyar buga 3D, tare da 20% na band gaps na photonic.
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Teburin Abubuwan Ciki

1. Gabatarwa

Wannan takarda ta gabatar da wata sabuwar hanya ta jagorantar raƙuman terahertz (THz) ta hanyar gabatar da hanyoyin sadarwa na gani na hollow-core waɗanda ke amfani da masu hana rikicin hyperuniform. Ba kamar filayen kristal na photonic na gargajiya waɗanda ke dogara da tsarin lokaci-lokaci ba, wannan ƙira tana amfani da silinda na dielectric da aka sanya ba bisa ka'ida ba waɗanda aka haɗa da gadoji, waɗanda aka yi ta amfani da stereolithography na 3D. Babban nasarar ita ce nuna manyan band gaps na photonic (har zuwa 20%) ko da tare da ƙarancin bambancin refractive index (resin/iska), yana ba da sabon tsari don jagorantar THz.

2. Babban Fahimta

Babban fahimtar ita ce cewa rikicin hyperuniform zai iya maye gurbin cikakken lokaci-lokaci don samun band gaps na photonic masu ƙarfi. Wannan canji ne na tsari. Filayen band gap na photonic (PBG) na gargajiya sun dogara da tsayayyen lattices na lokaci-lokaci, waɗanda ke da wuyar ƙira kuma suna da hankali ga lahani. Marubutan sun nuna cewa tsarin rikicin hyperuniform—inda matsayin silinda ba su da lokaci-lokaci amma suna hana canje-canjen yawa na dogon zango—zai iya samar da band gap mai isotropic. Wannan ba kawai ƙari ba ne; yana sassauta ƙuntatawa na ƙira yayin da yake kiyaye aiki. Faɗin band gap na 20% yana da gasa da ƙirar lokaci-lokaci, amma juriyar ƙira ta fi girma sosai.

3. Tsarin Hankali

Takardar tana bin ci gaba mai ma'ana: Matsala → Ƙira → Ƙira → Kwaikwaiyo → Gwaji → Tabbatarwa. Da farko, sun gano iyakokin hanyoyin sadarwa na THz na lokaci-lokaci (ƙira mai rikitarwa, ƙaramin bandwidth). Sa'an nan, sun ba da shawarar mai hana rikicin hyperuniform a matsayin mafita. An fassara ƙirar zuwa tsarin da za a iya buga 3D. Kwaikwaiyon hanyar ƙarshe (FEM) sun yi hasashen band gap. A ƙarshe, gwaje-gwajen THz time-domain spectroscopy (THz-TDS) sun tabbatar da matsayi da faɗin band gap. Tsarin yana da layi kuma mai gamsarwa, kodayake tsalle daga kwaikwaiyo zuwa gwaji zai iya zama mafi kyau da ƙididdiga tare da sandunan kuskure.

4. Karfi da Rashi

Karfi: Babban ƙarfin shine sabon abu na amfani da rikicin hyperuniform ga hanyoyin sadarwa na THz. Amfani da buga 3D don samar da samfuri cikin sauri babbar fa'ida ce mai amfani. Tabbatarwar gwaji tana da ƙarfi, ta amfani da THz-TDS da aka kafa. Ikon daidaita band gap ta hanyar sigogi na geometric kayan aiki ne mai mahimmanci.

Rashi: Takardar ba ta da kwatancen kai tsaye tare da abokin lokaci-lokaci a ƙarƙashin yanayin ƙira iri ɗaya. Idan ba tare da wannan ba, da'awar 'juriyar mafi girma' ba ta da tabbas. Ba a ƙididdige alkaluman asara ba; asarar sha a cikin resin a mitocin THz sanannen matsala ce (duba ref. [6]), amma takardar ba ta bayar da bakan asara ba. 'Band gap 20%' yana da ban sha'awa, amma ba a tattauna mitar tsakiya da kwanciyar hankalinta tare da zafin jiki ko lankwasawa ba. Girman samfurin yana da iyaka—ana siffanta hanyoyin sadarwa ɗaya ko biyu kawai.

5. Bayanai Masu Amfani

Ga masu bincike: Nan da nan ku bincika rikicin hyperuniform don wasu yankuna na mitar (misali, mid-IR, bayyane). Dokokin ƙira suna iya canzawa. Ga injiniyoyi: Yi amfani da buga 3D don maimaita abubuwan THz cikin sauri. Buƙatar ƙarancin bambancin index yana nufin ana iya amfani da kayan da ba su da tsada. Ga masu saka hannun jari: Wannan fasaha ba ta kasuwanci ba amma tana da babban yuwuwar aikace-aikacen ji da hoto na THz inda ake buƙatar hanyoyin sadarwa masu sassauƙa, masu ƙarancin asara. Mataki na gaba shine nuna tsarin aiki (misali, endoscope na THz) ta amfani da wannan hanyar sadarwa.

6. Bayanan Fasaha da Tsarin Lissafi

Rikicin hyperuniform ana siffanta shi ta hanyar tsarin factor $S(\mathbf{k})$ yana ɓacewa yayin da $|\mathbf{k}| \to 0$. Ana ƙayyade band gap na photonic ta hanyar warware ma'aunin Maxwell ta hanyar FEM. Ma'auni mai mahimmanci shine matsalar eigenvalue don filin maganadisu $\mathbf{H}$:

$$\nabla \times \left( \frac{1}{\epsilon(\mathbf{r})} \nabla \times \mathbf{H} \right) = \left( \frac{\omega}{c} \right)^2 \mathbf{H}$$

inda $\epsilon(\mathbf{r})$ shine canjin permittivity na tsarin resin/iska. An gano faɗin band gap $\Delta f / f_0$ ya kai kusan 20% don rabon cikawa na 0.35 da bambancin refractive index na 1.5. Sigogi na geometric (diamita na silinda $d$, tazara $a$) suna daidaita mitar tsakiya ta band gap $f_0 \propto c / (a \sqrt{\epsilon_{\text{eff}}})$.

7. Sakamakon Gwaji da Bayanin Zane

Bayanin Zane: Hoto na 1 a cikin takardar asali (ba a sake buga shi a nan ba) yana nuna zanen ɓangaren hanyar sadarwa. Cibiyar hollow-core tana kewaye da zobe na silinda da aka rarraba hyperuniformly (da'irori farare) da aka saka a cikin matrix resin (launin toka). An haɗa silinda da gadoji na dielectric na bakin ciki don samar da tsari mai ƙarfi na inji. Hoto na 2 yana nuna bakan watsawa da aka kwaikwaya, yana nuna band gap bayyananne daga 0.28 zuwa 0.34 THz (faɗin 20%). Hoto na 3 yana nuna watsawar THz-TDS na gwaji, yana tabbatar da nutsewa a cikin watsawa daidai da band gap, tare da ɗan canjin ja da aka danganta ga juriyar ƙira. Yarjejeniya tsakanin kwaikwaiyo da gwaji tana da kyau, tana tabbatar da ƙa'idar ƙira.

8. Nazarin Tsarin Misali

Misali: Ƙirar Hanyar Sadarwa ta 0.3 THz

Manufa: Ƙirar hanyar sadarwa mai rikicin hyperuniform tare da band gap da aka mayar da hankali a 0.3 THz.

  1. Zaɓin Kayan: Yi amfani da resin buga 3D na yau da kullun ($n \approx 1.5$). Cibiyar iska ($n=1$).
  2. Sigogi na Geometric: Saita diamita na silinda $d = 0.4$ mm, tazara ta tsakiya $a = 1.0$ mm. Wannan yana ba da index mai tasiri $\epsilon_{\text{eff}} \approx 1.2$.
  3. Rarraba Hyperuniform: Ƙirƙiri saitin matsayin silinda 50 ta amfani da hanyar 'haɗin gwiwa' don tabbatar da $S(k) \to 0$ don ƙananan $k$.
  4. Kwaikwaiyo: Yi amfani da FEM don ƙididdige tsarin band. Band gap da ake tsammani: 0.27–0.33 THz.
  5. Ƙira: Buga tsarin 3D. Yi aiki bayan ƙira don cire resin da ba a warke ba.
  6. Siffantawa: Yi amfani da THz-TDS don auna watsawa. Kwatanta da kwaikwaiyo.

Ana iya daidaita wannan tsarin zuwa kowace mitar da aka yi niyya ta hanyar daidaita $d$ da $a$ daidai gwargwado.

9. Aikace-aikace da Hanyoyi na Gaba

Aikace-aikacen nan take yana cikin sadarwa da ji na THz. Hanyar sadarwa mai ƙarancin asara, mai sassauƙa na iya ba da damar endoscopy na THz don hoton likita ko gwajin da ba ya lalata. Hanyoyi na gaba sun haɗa da:

10. Bincike na Asali

Wannan takarda tana wakiltar wani muhimmin mataki, ko da yake yana ƙara, a cikin fasahar hanyar sadarwa ta THz. Babban ra'ayi—amfani da rikicin hyperuniform don samun band gap na photonic—yana da kyau kuma ya aro daga ilimin kimiyyar lissafi na kwayoyin halitta (Torquato & Steinhardt, 2009). Tabbatarwar gwaji tana da gaskiya, amma rashin kwatancen kai tsaye tare da tsarin lokaci-lokaci a ƙarƙashin yanayi iri ɗaya babban rashi ne. Idan ba tare da wannan ba, da'awar 'juriyar mafi girma' ba ta tabbata ba. Bugu da ƙari, ba a kwatanta aikin asara da mafi kyawun filayen THz na zamani (misali, filayen porous, ref. [7]). Band gap na 20% yana da ban sha'awa, amma asarar watsawa cikakkiya mai yiwuwa tana da yawa saboda sha na resin (duba ref. [6]). Daga hangen nesa na kasuwanci, amfani da buga 3D takobi ne mai kaifi biyu: yana ba da damar samar da samfuri cikin sauri amma ba ya iya haɓaka don samar da yawa. Makomar wannan fasaha tana cikin hanyoyin haɗin gwiwa—watakila amfani da ƙirar hyperuniform a matsayin samfuri don kayan da ba su da asara kamar silicon. Takardar tabbatar da ra'ayi ce mai ƙarfi, amma har yanzu ba ta zama ci gaba ba. Tana buɗe sabon sararin ƙira, amma tasirin aiki zai dogara da rage asara da nuna tsarin aiki.

11. Manazarta

  1. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett., vol. 58, pp. 2059–2062, 1987.
  2. P. J. Russell, "Photonic-Crystal Fibers," J. Lightwave Technol., vol. 24, pp. 4729–4749, 2006.
  3. M. Florescu, S. Torquato, and P. J. Steinhardt, "Designer disordered materials with large, complete photonic band gaps," Proc. Natl. Acad. Sci., vol. 106, pp. 20658–20663, 2009.
  4. W. Man et al., "Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids," Proc. Natl. Acad. Sci., vol. 110, pp. 15886–15891, 2013.
  5. A. Dupuis et al., "Transmission measurements of hollow-core THz Bragg fibers," J. Opt. Soc. Am. B, vol. 28, pp. 896–907, 2011.
  6. B. Ung et al., "High-refractive-index composite materials for terahertz waveguides," J. Opt. Soc. Am. B, vol. 28, p. 917, 2011.
  7. A. Hassani, A. Dupuis, and M. Skorobogatiy, "Porous polymer fibers for low-loss Terahertz guiding," Opt. Express, vol. 16, pp. 6340–6351, 2008.
  8. K. Vynck et al., "Photon management in two-dimensional disordered media," Nat. Mater., vol. 11, pp. 1017–1022, 2012.