论文信息 - Analytical determination of bandgaps in photonic crystals

Analytical determination of bandgaps in photonic crystals

A new approach for the analytical calculation of band structures in one-dimensional periodic media, such as photonic crystals and superlattices, is reported based on the recently reported differential transfer matrix method (DTMM). The media analyzed in this paper can have arbitrary profile of refractive index. A closed form dispersion equation is obtained and simplified under different assumptions. Several numerical cases are discussed.

Ali Adibi | Sina Khorasani | S. Khorasani | A. Adibi

[1] Raj Mittra,et al. Analysis of multilayered periodic structures using generalized scattering matrix theory , 1988 .

[2] S. Khorasani,et al. New analytical approach for computation of band structure in one-dimensional periodic media , 2003, math-ph/0301008.

[3] Didier Felbacq,et al. Wave propagation in one-dimensional photonic crystals , 1998 .

[4] S. G. Davison,et al. Basic Theory of Surface States , 1996 .

[5] S. Khorasani,et al. Analytical solution of non-homogeneous anisotropic wave equations based on differential transfer matrices , 2002 .

[6] K. Mehrany. Differential transfer-matrix method for solution of one-dimensional linear nonhomogeneous optical structures , 2002 .

[7] S. Khorasani,et al. Modified transfer matrix method for conducting interfaces , 2002 .

[8] Steven G. Johnson,et al. Photonic Crystals: Molding the Flow of Light , 1995 .

[9] M. H. Eghlidi,et al. Modified differential-transfer-matrix method for solution of one-dimensional linear inhomogeneous optical structures , 2003 .

[10] Simon J. Cox,et al. Application of finite element methods to photonic crystal modelling , 2002 .

[11] P. Yeh,et al. Optical Waves in Layered Media , 1988 .

[12] L. Brillouin,et al. Wave Propagation in Periodic Structures , 1946 .

[13] P. Kuchment,et al. Asymptotic methods for thin high-contrast two-dimensional PBG materials , 1999 .

[14] Amnon Yariv,et al. Optical Waves in Crystals , 1984 .