volume | PIER Journals

Abstract

A series of N identical periods of pairs of isotropic and biisotropic layers with defect in j-th basic element is investigated. The universal method that simultaneously allows to taking into account different types of defects in the structure is proposed. The problem is solved using the circuit theory and the transfer matrix methods. The analysis of the dynamic of electromagnetic properties of the investigated structure was carried out for different types of defects.

1. Yokoyama, H. and K. Ujihara, Spontaneous Emission and Laser Oscillation in Microcavities, CRC, 1995.

2. Awasthi, S. K., U. Malaviya, S. P. Ojha, N. K. Mishra, and B. Singh, "Design of a tunable polarizer using a one-dimensional nano sized photonic bandgap structure," Progress In Electromagnetics Research B, Vol. 5, 133-152, 2008. Google Scholar

3. Srivastava, R., K. B. Thapa, S. Pati, and S. P. Ojha, "Design of photonic band gap filter," Progress In Electromagnetics Research, Vol. 81, 225-235, 2008.
doi:10.2528/PIER08010902 Google Scholar

4. Smith, D. R., R. Dalichaouch, N. Kroll, et al. "Photonic band structure and defects in one and two dimensions," J. Opt. Soc. Am. B., Vol. 10, No. 2, 314-321, 1993. Google Scholar

5. Leung, K. M., "Defect modes in photonic band structures: a Green's function approach using vector Wannier functions," J. Opt. Soc. Am. B., Vol. 10, No. 2, 303-306, 1993. Google Scholar

6. Lakhtakia, A., V. K. Varadan, and V. V. Varadan, Time-Harmonic Electromagnetic Fields in Chiral Media, Lecture Notes in Physics, Springer-Verlag, 1989.

7. Lindell, I. V., A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-Isotropic Media, Artech House, 1994.

8. Chadrasekhar, S., Liquid Crystals, Cambridge University Press, 2004.

9. Hussain, A. and Q. A. Naqvi, "Fractional curl operator in chiral medium and fractional non-symmetric transmission line," Progress In Electromagnetics Research, Vol. 59, 199-213, 2006.
doi:10.2528/PIER05092801 Google Scholar

10. Panin, S. B., P . D. Smith, and A. Y. Poyedinchuk, "Elliptical to linear polarization transformation by a grating on a chiral medium," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 13, 1885-1899, 2007. Google Scholar

11. Kuzu, L., V. Demir, A. Z. Elsherbeni, and E. Arvas, "Electromagnetic scattering from arbitrarily shaped chiral objects using the finite difference frequency domain method," Progress In Electromagnetics Research, Vol. 67, 1-24, 2007.
doi:10.2528/PIER06083104 Google Scholar

12. Hussain, A., M. Faryad, and Q. A. Naqvi, "Fractional curl operator and fractional chiro-waveguide," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 8, 1119-1129, 2007. Google Scholar

13. Tuz, V., "Three-dimensional Gaussian beam scattering from a periodic sequence of bi-isotropic and material layers," Progress In Electromagnetics Research B, Vol. 7, 53-73, 2008. Google Scholar

14. Gilles, L. and P. Tran, "Optical switching in nonlinear chiral distributed Bragg reflectors with defect layers," J. Opt. Soc. Am. B., Vol. 19, No. 4, 630-639, 2002.
doi:10.1364/JOSAB.19.000630 Google Scholar

15. Kopp, V. I. and A. Z. Genack, Phys. Rev. (Lett.), Vol. 89, No. 3, 2002. Google Scholar

16. Kopp, V. I., R. Bose, and A. Z. Genack, "Transmission through chiral twist defects in anisotropic periodic structures," Opt. Lett., Vol. 28, No. 5, 349-351, 2003.
doi:10.1364/OL.28.000349 Google Scholar

17. Chen, J.-Y. and L.-W. Chen, "Polarization-dependent filters based on chiral photonic structures with defects," J. Opt. A. Opt., Vol. 7, 558-566, 2005. Google Scholar

18. Li, J., L. Jin, L. Li, and C. Li, "Bandgap separation and optical switching in nonlinear chiral photonic crystal with layered structure," IEEE Phot. Techn. Lett., Vol. 18, No. 11, 1261-1263, 2006.
doi:10.1109/LPT.2006.875321 Google Scholar

19. Ha, N. Y., Y. Takanishi, K. Ishikawa, and H. Takezoe, "Simultaneous RGB reflections from single-pitched cholesteric liquid crystal films with Fibonaccian defects," Opt. Exp., Vol. 15, No. 3, 2007.
doi:10.1364/OE.15.001261 Google Scholar

20. Yoshida, H., C. H. Lee, Y. Miura, A. Fujii, and M. Ozaki, "Optical tuning and switching of photonic defect modes in cholesteric liquid crystals," Appl. Phys. Lett., Vol. 90, 071107, 2007.
doi:10.1063/1.2560805 Google Scholar

21. Born, M. and E. Wolf, Principle of Optics, Oxford, Pergamon Press, 1968.

22. Kim, G. and E. Garmire, "Comparison between the matrix method and the coupled-wave method in the analysis of Bragg reflector structures," J. Opt. Soc. Am. A, Vol. 9, 132-137, 1992. Google Scholar

23. Kazanskiy, V. B., V. R. Tuz, and V. V. Khardikov, "Quasiperiodic metal-dielectric structure as a multifunctional control system," Radioelectronics and Communications Systems, Vol. 45, No. 7, 38-46, 2002. Google Scholar

24. Dickey, L. J., "High powers of matrices," ACM SIGAPL APL Quote Quad., Vol. 18, No. 2, 96-99, 1987.
doi:10.1145/377719.55639 Google Scholar

25. Khardikov, V. V., V. R. Tuz, and V. B. Kazanskiy, "Influence of defects on electrodynamic properties of the finite series of identical metal-dielectric resonators," Proc. X-th Int. Conf. Math. Methods Electromagn. Theory, 130-132, 2004.
doi:10.1109/MMET.2004.1396948 Google Scholar

26. Zhang, Y. J., A. Bauer, and E. P. Li, "T-matrix analysis of multiple scattering from parallel semi-circular channels filled with chiral media in a conducting plane," Progress In Electromagnetics Research, Vol. 53, 299-318, 2005.
doi:10.2528/PIER04110201 Google Scholar

Prof. Vladimir Tuz

Dr. Vadim Kazanskiy