DEPENDENCE OF FREQUENCIES OF SURFACE ELECTROMAGNETIC STATES IN PHOTONIC CRYSTALS ON PARAMETERS OF THE DUOBLE-LAYERED DIELECTRIC UNIT CELL

Abstract
We present the theoretical analysis of surface electromagnetic states at the interface between a photonic crystal and a plasma-like medium. It is assumed that an unit cell of the photonic crystal is composed of two different non-magnetic dielectrics. The change in frequencies of the surface electromagnetic states with changing configuration of the unit cell has been studied. It is shown that at certain parameters of the unit cell of the photonic crystal a number of surface electromagnetic states can exist. These states differ in frequencies and their electromagnetic field localization in the photonic crystal and in the plasma-like medium. The possibility of existence of surface electromagnetic states in metal-photonic crystal structures with layers of SiO2 and Si has been demonstrated. These structures are widely used for up-to-date applications of silicon nano-photonics.
KEY WORDS: photonic crystal, plasma-like medium, surface electromagnetic state, propagation matrix, the Bloch wave number

References

1. Vinogradov, A.P., Dorofeenko, A.V., Erokhin, S.G. et al., (2006), Surface state peculiarities in one-dimensional photonic crystal interfaces, Phys. Rev. B, 74(4):045128.
2. Goto, T., Dorofeenko, A.V., Merzlikin, A.M. et al., (2008), Optical Tamm States in One-Dimensional Magnetophotonic Structures, Phys. Rev. Lett., 101(11):113902.
3. Vinogradov, A.P., Dorofeenko, A.V., Merzlikin, A.M., and Lisyanskii, A.A., (2010), Surface states in photonic crystals, Uspekhi fizicheskih nauk, 180(3):249-263 (in Russian). 
4. Tarapov, S.I., Khodzitskiy, M.K., Chernovtsev, S.V. et al., (2009), The mmW band Tamm states in one-dimensional magnetophotonic crystals, Solid State Phenomena, 152-153:394-396.
5. Bass, F.G. and Tetervov, A.P., (1986), High-frequency phenomena in semiconductor superlattices, Phys. Rep., 140(5):237-322. 
6. Kaliteevski, M., Iorsh, I., Brand, S. et al., (2007), Tamm plasmon-polaritons: Possible electromagnetic states at the interface of a metal and a dielectric Bragg mirror, Phys. Rev. B, 76(16):165415.
7. Sasin, M.E., Seisyan, R.P., Kaliteevski, M.A. et al., (2008), Tamm plasmon polaritons: Slow and spatially compact light, Appl. Phys. Lett., 92(25):251112.
8. Sasin, M.E., Seisyan, R.P., Kaliteevski, M.A., et al., (2010), Tamm plasmon-polaritons: First experimental observation, Super-lattices and Microstructures, 47:44-49.
9. Belozorov, D.P., Khodzitsky, M.K., and Tarapov, S.I., (2009), Tamm states in magnetophotonic crystals and permittivity of the wire medium, J. Phys. D., 42(5):055003.
10. Yariv, A. and Yeh, P., (2007), Photonics: Optical Electronics in Modern Communications, New York: Oxford University Press. - 836 p.
11. Malkova, N. and Ning, C.Z., (2006), Shockley and Tamm surface states in photonic crystals, Phys. Rev. B., 73(11):113113.
12. Malkova, N. and Ning, C.Z., (2007), Interplay between Tamm-like and Shockley-like surface states in photonic crystals, Phys. Rev. B., 76(4):045305.
13. Klos, J., (2007), Conditions of Tamm and Shockley state existence in chains of resonant cavities in a photonic crystal, Phys. Rev. B., 76(16):165125.
14. Pavesi, L. and Lockwood, D.J., (eds.) (2004), Silicon Photonics, Berlin: Springer. – 414 p.
15. Yeh, P., Yariv, A., and Chi-Shain Hong, (1977), Electromagnetic propagation in periodic stratified media. I. General theory, J. Opt. Soc. Am., 67(4):423-438.
16. Bass, F.G., Bulgakov, A.A., and Tetervov, A.P., (1989), High-frequency properties of semiconductors with superlattices, Nauka, Moscow: 288 p. (in Russian).
17. Bulgakov, A.A., Meriuts, A.V., and Ol'khovskii, E.A., (2004), Surface electromagnetic waves at the interface of two dielectric superlattices, Jurnal tekhnicheskoi fiziki, 74(10):103-107 (in Russian).

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