Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 131 > pp. 153-167


By T.-W. Chang, J.-J. Wu, and C.-J. Wu

Full Article PDF (623 KB)

In this work, complex photonic band structure (CPBS) in a semiconductor-dielectric photonic crystal (SDPC) operating at terahertz frequencies are theoretically investigated. The SDPC is air/(S/D)N/air where the dielectric layer D is SiO2, the semiconductor layer S is an intrinsic semiconductor InSb, and N is the number of periods. Using the experimental data for the strongly temperature-dependent plasma frequency and damping frequency for InSb, we calculate the CPBS for the infinite SDPC at distinct operating temperatures. The CPBS is then compared with the calculated transmittance, reflectance, and absorptance as well in the finite SDPC. Based on the calculated CPBS, the role played by the loss factor (damping frequency), in InSb is revealed. Additionally, from the calculated transmittance spectra, we further investigate the cutoff frequency for the SDPC. The dependences of cutoff frequency on the number of periods and the filling factor of semiconductor layer are numerically illustrated.

T.-W. Chang, J.-J. Wu, and C.-J. Wu, "Complex Photonic Band Structures in a Photonic Crystal Containing Lossy Semiconductor Insb," Progress In Electromagnetics Research, Vol. 131, 153-167, 2012.

1. Sukhoivanov, , I. A., I. V. Guryev, and , "Photonic Crystals, Springer-," Verlag, Berlin, Heidelberg, , 2009.

2. Orfanidis, , S. J., , Electromagnetic Waves and Antennas,, Rutger University, Ch. 7., 2008.

3. Joannopoulos, , J. D., R. D. Meade, and J. N. Winn, "Photonic Crystals: Molding the Flow of Light, ," Princeton University Press, 1995..

4. Li, , H. , X. Yang, and , "Larger absolute band gaps in two-dimensional photonic crystals fabricated by a three-order-effec methodt," Progress In Electromagnetics Research,, Vol. 108, 385-400, 2010.

5. Rahimi, , H., , A. Namdar, S. Roshan Entezar, and H. Tajalli, "Photonic transmission spectra in one-dimensional fibonacci multilayer structures containing single-negative metamaterials," Progress In Electromagnetics Research,, Vol. 102, 15-30, 2010.

6. Chen, , D., , M.-L. Vincent Tse, and H.-Y. Tam, "Optical properties of photonic crystal fibers with a fiber core of arrays of subwavelength circular air holes: Birefringence and dispersion," Progress In Electromagnetics Research, Vol. 105, 193-212, 2010.

7. Shi, , Y., , "A compact polarization beam splitter based on a multimode photonic crystal waveguide with an internal photonic crystal section," Progress In Electromagnetics Research,, Vol. 103, 393-401, 2010.

8. Mendoza-Suarez, , A., , ., H. Perez-Aguilar, and F. Villa-Villa, "Optical response of a perfect conductor waveguide that behaves as a photonic crystal ," Progress In Electromagnetics Research, Vol. 121, 433-452, 2011.

9. Dai, , X., Y. Xiang, and S. Wen, \, "Broad omnidirectional reflector in the one-dimensional ternary photonic crystals containing superconductor," Progress In Electromagnetics Research,, Vol. 120, 17-34, 2011..

10. Yuan, , C. P. , T.-H. Chang, and , "analysis of metal-stub photonic band gap structures in a parallel-plate waveguide," Progress In Electromagnetics Research,, Vol. 119, 345-361, 2011..

11. Hsu, , H.-T., , M.-H. Lee, T.-J. Yang, Y.-C. Wang, and C.-J. Wu, "A multichanneled ¯lter in a photonic crystal containing coupled defects," Progress In Electromagnetics Research, , Vol. 117, 379-392, 2011.

12. Liu, , Y. , Z. Lu, and , "Phase shift defect modes in one-dimensional asymmetrical photonic structures consisting of two rugate segments with di®erent periodicities," Progress In Electromagnetics Research,, Vol. 112, 257-272, 2011.

13. Manzanares-Martinez, , J., R. Archuleta-Garcia, P. Castro-Garay, D. Moctezuma-Enriquez, and E. Urrutia-Banuelos, "One-dimensional photonic heterostructure with broadband omnidirectional reflection," Progress In Electromagnetics Research, Vol. 111, 105-117, , 2011.

14. Fink, , Y., , J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and L. E. Thomas, "A dielectric omnidirectional reflector," Science, Vol. 282, 1679-1682, , 1998.

15. Winn. , J. N., Y. Fink, S. Fan, and J. D. Joannopoulos, "Omnidirectional reflection from a one-dimensional photonic crystal," Opt. Lett., , Vol. 23, 1573-1575, , 1998.

16. Kuzmiak, V. , A. A. Maradudin, and , "Photonic band structure of one- and two-dimensional periodic systems with metallic components in the presence of dissipation," Phys. Rev. B, , Vol. 55, 7427-7444, 1997.

17. Contopanagos, , H., , E. Yablonovitch, and N. G. Alexopoulos, "Electromagnetic properties of periodic multilayers of untrathin metallic ¯lms from dc to ultraviolet frequencies ," J. Opt. Soc. Am. A,, Vol. 16, 2294-2306, , 1999..

18. Bloemer, , M. J. , M. Scalora, and , "Transmissive properties of Ag/MgF2 photonic band gaps," Appl. Phys. Lett., , Vol. 72, 1676-1678, 1998..

19. Choi, Y.-K., , Y.-K. Ha, J.-E. Kim, H. Y. Park, and K. Kim, "Antire°ection in one-dimensional metallo-dielectric photonic crystals ," Optics Communications,, Vol. 230, 239-243, 2004.

20. Halevi, , P. , F. Ramos-Mendieta, and , "Tunable photonic crystals with semiconducting constituents," Phys. Rev. Lett.,, Vol. 85, 1875-1878, 2000.

21. Choudhury, , P. K., W. K. Soon, and , "TE mode propagation through tapered core liquid crystal optical fibers," Progress In Electromagnetics Research,, Vol. 104, 449-463, 2010.

22. McPhail, , D., , M. Straub, and M. Gu, , "Optical tuning of three-dimensional photonic crystals fabricated by femtosecond direct writing," Appl. Phys. Lett.,, Vol. 87, , 091117, , 2005.

23. Halevi, , P., J. A. Reyes-Avendano, and J. A. Reyes-Cervantes, "Electrically tuned phase transition and band structure in a liquid- crystal-infilled photonic crystal," Phys. Rev. E,, Vol. 73, R040701, 2006.

24. Tian, , H. , J. Zi, and , "One-dimensional tunable photonic crystals by means of external magnetic fields," Optics Communications,, Vol. 252, 321-328, , 2005.

25. Sabah, , C., S. Uckun, and , "Multilayer system of lorentz/drude type metamaterials with dielectric slabs and its application to electromagnetic fiters," Progress In Electromagnetics Research,, Vol. 91, , 349-364, , 2009..

26. Inoue, , M., R. Fujikawa, A. Baryshev, A. Khanikaev, P. B. Lim, H. Uchida, O. Aktsipetrov, A. Fedyanin, T. Murzina, and H. Uchida, O. Aktsip , "Magnetophotonic crystals," J. Phys. D: Appl Phys.,, Vol. 39, , R151-R161, 2006.

27. Lyubchanskii, I. L., , N. N. Dadoenkova, M. I. Lyubchanskii, E. A. Shapovalov, and T. Rasing, "Magnetic photonic crystals," J. Phys. D: Appl. Phys.,, Vol. 36, R227-R287, 2003.

28. Dai, , X., , Y. Xiang, S. Wen, and H. He, \, "Thermally tunable and omnidirectional terahertz photonic bandgap in the one- dimensional photonic crystals containing semiconductor InSb," J. Appl. Phys.,, Vol. 109, , 053104, 2011.

29. Palik, E. D., , Handbook of Optical Constants of Solids, , Elsevier, 1998..

30. Hung, , H.-C., C.-J. Wu, and S.-J. Chang, "Terahertz temperature-dependent defect mode in a semiconductor-dielectric photonic crystal," J. Appl. Phys., , Vol. 110, , 093110, 2011.

31. Meisels, R., , O. Glushko, and F. Kuchar, , "Tuning the flow of light in semiconductor-based photonic crystals by magnetic fields," Photonics and Nanostructures-fundamentals and Applications,, Vol. 10, , 60-68, , 2012..

32. Hung, , H.-C., , C.-J. Wu, T.-J. Yang, and S.-J. Chang, "Magneto-optical e®ect in wave properties for a semiconductor photonic crystal at near-infrared," IEEE Photonics Journal,, Vol. 4, 903-911, 2012..

33. Howells, , S. C., L. A. Schlie, and , "Transient terahertz reflection spectroscopy of undoped InSb from 0.1 to 1.1 THz," Appl. Phys. Lett.,, Vol. 69, , 550-552, , 1996.

34. Sanchez-Gil, , J. A. , J. G. Rivas, and , "Thermal switching of the scattering coe±cients of terahertz surface plasmon polaritons impinging on a finite array of subwavelength grooves on semiconductor surfaces," Phys. Rev. B, Vol. 73, , 205410, , 2006.

35. Yeh, , P., , Optical Waves in Layered Media, , John Wiley & Sons, Singapore, , 1991..

36. Feng, S., J. M. Elson, and P. L. Overfelt, "Optical properties of multilayer metal-dielectric nano fims with all-evanescent modes," Optics Express,, Vol. 13, , 4113-4124, , 2005..

37. Fang, , Y.-T. and, Z.-C. Liang, and , "Unusual transmission through one-dimensional photonic crystal in the presence of evanescent wave," Optics Communications,, Vol. 283, , 2102-2108, , 2010..

38. Lin, , W.-H., , C.-J. Wu, T.-J. Yang, and S.-J. Chang, , "Terahertz multichanneled ¯lter in a superconducting photonic crystal," Optics Express,, Vol. 18, , 27155-27166, , 2010.

© Copyright 2014 EMW Publishing. All Rights Reserved