volume | PIER Journals

Abstract

We simulate a 1D ternary photonic crystal (TPC) employed as a clad of a photonic crystal waveguide (PCW) which consists three different lossless dielectric layers as a unit-cell. Calculating input impedance at each layer interface and using a lossless reciprocal transmission line as a model, we can predict angle intervals in which reflection occurs due to photonic crystal effect. Comparing this method with transfer matrix method and bang structure shows perfect agreement.

1. Miyoki, S., S. Sato, M. Ohashi, and M. K. Fujimoto, "Technique to estimate the re°ectance of a high-reflectance dielectric multilayer coating mirror using incident beam angular dependence of its transmittance," Optical Review, Vol. 5, 17-19, 1998.
doi:10.1007/s10043-998-0017-9 Google Scholar

2. Brunner, R. and E. Pincik, "Reflectance spectrometry of TiO₂ optical coatings on C-Si: The real data based simulation," Acta Physica Slovaca, Vol. 51, 17-26, 2001. Google Scholar

3. Cho, , K., T. Hirai, and T. Ikawa, "Propagating mode in the photonic gap of 1D resonant Bragg reflector," Journal of Luminescence, Vol. 100, 283-289, 2002.
doi:10.1016/S0022-2313(02)00422-2 Google Scholar

4. Gusarov , A. I., D. B. Doyle, F. Berghmans, and O. Deparis, "Analysis of photo induced stress distribution in fiber Bragg gratings," Optics Letters, Vol. 24, 1334-1336, 1999.
doi:10.1364/OL.24.001334 Google Scholar

5. Nistad, B., M. W. Haakestad, and J. Skaar, "Dispersion properties of planar Bragg waveguides," Optics Communications, Vol. 265, 153-160, 2006.
doi:10.1016/j.optcom.2006.03.014 Google Scholar

6. Burckel, D. B. and S. R. J. Brueck, "Generalized transverse Bragg waveguides," Optics Express, Vol. 13, 9202-9210, 2005.
doi:10.1364/OPEX.13.009202 Google Scholar

7. Srivastava, R., S. Pati, and S. P. Ojha, "Enhancement of omnidirectional re°ection in photonic crystal heterostructures," Progress In Electromagnetics Research B, Vol. 1, 197-208, 2008.
doi:10.2528/PIERB07102903 Google Scholar

8. Krauss, , T. F., "Planar photonic crystal waveguide devices for integrated optics," Phys. Stat. Sol. (A), Vol. 197, 688-702, 2003.
doi:10.1002/pssa.200303117 Google Scholar

9. SΦndergaard, T. and A. Lavrinenko, "Large-bandwidth planar photonic crystal waveguides," Optics Communications, Vol. 203, 263-270, 2002.
doi:10.1016/S0030-4018(02)01172-0 Google Scholar

10. Wu , L., "Planar photonic crystal polarization splitter," Optics Letters, Vol. 29, 1620-1622, 2004.
doi:10.1364/OL.29.001620 Google Scholar

11. Wang, Z.-Y., X.-M. Cheng, X.-Q. He, S.-L. Fan, and W.-Z. Yan, "Photonic crystal narrow filters with negative refractive index structural defects," Progress In Electromagnetics Research, Vol. 80, 421-430, 2008.
doi:10.2528/PIER07121002 Google Scholar

12. Oraizi , H. and M. Afsahi, "Analysis of planar dielectric multilayers as FSS by transmission line transfer matrix method (TLTMM)," Progress In Electromagnetics Research, Vol. 74, 217-240, 2007.
doi:10.2528/PIER07042401 Google Scholar

13. Romo, G. and T. Smy, "Dispersion relation calculation of photonic crystals using the transmission line matrix method," Int. J. Numer. Model, Vol. 17, 451-459, 2004.
doi:10.1002/jnm.550 Google Scholar

14. Safaai-Jazi, A., M. R. Albandakji, and S. Mirlohi, "Exact solutions of planar photonic crystal waveguides with infinite claddings," Proc. of SPIE, 6369, 63690K, 2006. Google Scholar

15. Banerjee, A., "Enhanced refractometric optical sensing by using one-dimensional ternary photonic crystals," Progress In Electromagnetics Research, Vol. 89, 11-22, 2009.
doi:10.2528/PIER08112105 Google Scholar

16. Xiao, Z. Y. and Z. H. Wang, "One-dimensional chiral photonic band gap structure analyzed by non-symmetric transmission-line method," Optics Communications, Vol. 237, 229-233, 2004.
doi:10.1016/j.optcom.2004.04.015 Google Scholar

17. Poza , D. M., Microwave Engineering, John Wiley & Sons, Inc., 2005.

18. Torrungrueng, D. and S. Lamultree, "Analysis of planar multilayer structures at oblique incidence using an equivalent BCITL model," Progress In Electromagnetics Research C, Vol. 4, 13-24, 2008.
doi:10.2528/PIERB07121903 Google Scholar

19. Gharaati, A. and S. A. Serajfard, "Investigation of a ternary 1D photonic crystal band gap width," ICP2010-48, 2010. Google Scholar

20. Manzanares-Martinez, J., P. Castro-Garay, D. Moctezuma-Enriquez, R. Archuleta-Garcia, and M. A. Velarde-Chong, "Complex band structure in one-dimensional photonic heterostructures," Adv. Studies Theor. Phys., Vol. 4, 759-772, 2010. Google Scholar

21. Gharaati, A. Z. Zare, "Photonic band structures and enhancement of omnidirectional reflection bands by using a ternary 1D photonic crystal including left-handed materials," Progress In Electromagnetics Research M, Vol. 20, 80-94, 2011.
doi:10.2528/PIERM11070711 Google Scholar

Dr. Abdolrasoul Gharaati

Dr. Alireza Serajfard