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Investigation of Reflectance Properties in 1D Ternary Annular Photonic Crystal Containing Semiconductor and High-T c Superconductor

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Abstract

In this paper, we present the theoretical investigation and study of reflectance properties in a 1D ternary annular photonic crystal (TAPC) containing a semiconductor and a high-temperature superconductor. The proposed structure consists of alternate layers of indium nitride (InN), Bi2Sr2CaCu3O8 (BSCCO), and air placed in free space. A reflectance spectrum of the TAPC is obtained by employing the transfer matrix method (TMM) in the cylindrical waves for both transverse electric (TE) and transverse magnetic (TM) polarized waves. From the study of reflectance spectra, it is observed that the reflection band of the annular photonic crystal depends on the azimuthal mode number m in addition to other parameters. It is found that for azimuthal mode number m = 0, the width of the reflection band of the annular photonic crystal is the same as that of a planar photonic crystal (PPC). When the azimuthal mode number increases, the width of the reflection band increases at higher m values (m >5) for TE waves. In the case of the TM wave, it is interesting to observe that a superpolariton gap is created for a higher value of the azimuthal number (m >0). Further, we see the effect of the starting radius (ρ 0) on the reflection band of the TAPC structure at the given m number for both TE- and TM-polarized waves. Finally, the effect of temperature on the reflectance spectra for both TE and TM waves at the given ρ 0 and azimuthal mode has been studied.

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References

  1. Yablonovitch, E.: Inhibited spontaneous emission in solid-state physics and electronics. Phys. Rev. Lett. 58, 2059–2062 (1987)

    Article  ADS  Google Scholar 

  2. John, S.: Strong localization of photons in certain disordered dielectric superlattices. Phys. Rev. Lett. 58, 2486–2489 (1987)

    Article  ADS  Google Scholar 

  3. Weiss, S.M., Haurylau, M., Fauchet, P.M.: Tunable photonic bandgap structures for optical interconnects. Opt. Mater. 27, 740–745 (2005)

    Article  ADS  Google Scholar 

  4. Srivastava, S.K., Ojha, S.P.: Broadband optical reflector based on Si/SiO2 one-dimensional graded photonic crystal structure. J. Mod. Opt. 56, 33–40 (2009)

    Article  ADS  Google Scholar 

  5. Yuan, K., Zheng, X., Li, C.-L., She, W.L.: Design of omnidirectional and multiple channeled filters using one-dimensional photonic crystal containing a defect layer with a negative refractive index. Phys. Rev. E 71, 066604, 1–5 (2005)

    ADS  Google Scholar 

  6. Mekis, A., Chen, J.C., Kurland, I., Fan, S., Villeneuve, P.R., Joannopoulos, J.D.: High transmission through sharp bends in photonic crystal waveguides. Phys. Rev. Lett. 77, 3787–3790 (1996)

    Article  ADS  Google Scholar 

  7. Ren, H., Jiang, C., Hu, W., Gao, M., Wang, J.: Photonic crystal channel drop filter with a wavelength selective reflection microcavity. Opt. Exp. 14, 2446–2458 (2006)

    Article  ADS  Google Scholar 

  8. Zimmermann, J., Kamp, M., Forchel, A., März, R.: Photonic crystal waveguide directional couplers as wavelength selective optical filters. Opt. Commun. 230, 387–392 (2004)

    Article  ADS  Google Scholar 

  9. Srivastava, S.K.: Investigation of ultra-wide reflection bands in UV region by using one-dimensional multi quantum well photonic crystal. Prog. Electromag. Res. M 38, 37–44 (2014)

    Article  Google Scholar 

  10. Born, M., Wolf, E.: Principles of Optics. Cambridge, London (1999)

    Book  Google Scholar 

  11. Yeh, P.: Optical Waves in Layered Media. Wiley, Singapore (1991)

    Google Scholar 

  12. Heiblum, M., Harris, J.H.: Analysis of curved optical waveguides by conformal transformation. IEEE J. Quantum Electron. 11, 75–83 (1975)

    Article  ADS  Google Scholar 

  13. Ping, E.-X.: Transmission of electromagnetic waves in planar, cylindrical, and spherical dielectric layer systems and their applications. J. Appl. Phys. 76, 7188–7194 (1994)

    Article  ADS  Google Scholar 

  14. Erdogan, T., Hall, D.G.: Circularly symmetric distributed feedback laser: coupled mode treatment of TE vector fields. IEEE J. Quantum Electron. 28, 612–623 (1992)

    Article  ADS  Google Scholar 

  15. Scheuer, J., Yariv, Y.: Coupled-waves approach to the design and analysis of Bragg and photonic crystal annular resonators. IEEE J. Quantum Electron. 39, 1555–1562 (2003)

    Article  ADS  Google Scholar 

  16. Toda, M.: Single-mode behavior of a circular grating for potential disk-shaped DFB lasers. IEEE J. Quantum Electron. 26, 473–481 (1990)

    Article  ADS  Google Scholar 

  17. Fallahi, M., Chatenoud, F., Templeton, I.M., Dion, M., Wu, C.M., Delage, A., Barber, R.: Electrically pumped circular-grating surface emitting DBR laser on InGaAs strained single-quantum well structure. IEEE Photon. Tech. Lett. 4, 1087–1089 (1992)

    Article  ADS  Google Scholar 

  18. Erdogan, T., King, O., Wicks, G.W., Hall, D.G., Anderson, E.H., Rooks, M.J.: Circularly symmetric operation of a concentric circle-grating, surface-emitting, AlGaAs/GaAs quantum-well semiconductor laser. Appl. Phys. Lett. 60, 1921–1923 (1992)

    Article  ADS  Google Scholar 

  19. Erdogan, T., King, O., Wicks, G.W., Hall, D.G., Dennis, G.L., Rooks, M.J.: Spatial modes of a concentric-circle-grating surface emitting, AlGaAs/GaAs quantum well semiconductor laser. Appl. Phys. Lett. 60, 1773–1775 (1992)

    Article  ADS  Google Scholar 

  20. Chen, M.S., Wu, C.J., Yang, T.J.: Optical properties of a superconducting annular periodic multilayer structure. Solid State Comm. 149, 1888–1893 (2009)

    Article  ADS  Google Scholar 

  21. Hu, C.A., Wu, C.J., Yang, T.J., Yang, S.L.: Analysis of optical properties in cylindrical dielectric photonic crystal. Opt. Comm. 291, 424–434 (2013)

    Article  ADS  Google Scholar 

  22. Chang, T.W., Hsu, H.T., Wu, C.J.: Investigation of photonic band gap in a circular photonic crystal. J. Electromag. Waves Appl. 25, 2222–2235 (2011)

    Article  Google Scholar 

  23. Green, W.M. J., Scheuer, J., DeRose, G., Yariv, Y.: Vertically emitting annular Bragg lasers using polymer epitaxial transfer. Appl. Phys. Lett. 84, 3669–3671 (2004)

    Article  ADS  Google Scholar 

  24. Scheuer, J., Yariv, Y.: Two-dimensional optical ring resonators based on radial Bragg resonance. Opt. Lett. 28, 1528–1530 (2003)

    Article  ADS  Google Scholar 

  25. Scheuer, J., Yariv, Y.: Annular Bragg-defect-mode resonators. J. Opt. Soc. Am. B 20, 2285–2291 (2003)

    Article  ADS  Google Scholar 

  26. Scheuer, J., Green, W.M.J., DeRose, G., Yariv, Y., Low threshold two-dimensional annular Bragg lasers. Opt. Lett. 29, 2641–2643 (2004)

    Article  ADS  Google Scholar 

  27. Scheuer, J., Green, W., DeRose, G., Yariv, Y.: Annular Bragg defect mode resonators. Proc. SPIE 5333, 183–194 (2004)

    Article  ADS  Google Scholar 

  28. Lee, H.M., Wu, C.J.: Transmittance spectra in one-dimensional superconductor-dielectric photonic crystal, vol. 107 (2010)

  29. Ooi, C.H.R., Kam, C.H.: Echo and ringing of optical pulse in finite photonic crystal with superconductor and dispersive dielectric. J. Opt. Soc. Am. B, Opt. Phys. 27, 458–463 (2010)

    Article  ADS  Google Scholar 

  30. Aly, A.H., Ryu, S.W., Hsu, H.T., Wu, C.J.: THz transmittance in one-dimensional superconducting nanomaterial dielectric superlattice. Mater. Chem. Phys. 113, 382–384 (2009)

    Article  Google Scholar 

  31. Srivastava, S.K.: Study of defect modes in one-dimensional photonic crystal structure containing high and low Tc superconductor as defect layer. J. Supercond. Nov. Magn. 27, 101–114 (2014)

    Article  Google Scholar 

  32. Srivastava, S.K., Awasthi, S.K.: Broadening of photonic band gap in one-dimensional magnetic star waveguide structure. J. Supercond. Nov. Magn. 25, 883–892 (2012)

    Article  Google Scholar 

  33. Kaliteevski, M.A., Abram, R.A., Nikolaev, V.V., Sokolovski, G.S.: Bragg reflectors for cylindrical waves. J. Mod. Opt. 46, 875–890 (1999)

    Article  ADS  Google Scholar 

  34. Tinkham, M.: Introduction to Superconductivity, 2nd edn. McGraw-Hill, New York (1996)

    Google Scholar 

  35. Wu, C.J., Chen, M.S., Yang, T.J.: Photonic band structure for a superconductor–dielectric superlattice. Physica C, Supercond. 432, 133–139 (2005)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

One of the authors, Dr. Sanjeev K Srivastava, is thankful to the Amity Institute of Applied Sciences, Amity University Uttar Pradesh, Noida, India, for providing the necessary facility for this work.

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Correspondence to Sanjeev K. Srivastava.

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Srivastava, S.K., Aghajamali, A. Investigation of Reflectance Properties in 1D Ternary Annular Photonic Crystal Containing Semiconductor and High-T c Superconductor. J Supercond Nov Magn 29, 1423–1431 (2016). https://doi.org/10.1007/s10948-016-3413-6

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  • DOI: https://doi.org/10.1007/s10948-016-3413-6

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