Exact analytical expressions for the dispersion relation of one-dimensional chiral photonic crystals |
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| Authors: | K. Kim H. Yoo D. -H. Lee H. Lim |
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| Affiliation: | a Department of Molecular Science and Technology, Ajou University, Suwon, Koreab Department of Physics, Pohang Institute of Science and Technology, Pohang, Koreac Department of Astronomy and Space Science, Kyung Hee University, Yongin, Koread Department of Electrical Engineering, Ajou University, Suwon, Korea |
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| Abstract: | We consider one-dimensional photonic crystals made of alternating layers of two kinds of isotropic chiral media. The two layers are characterized by the dielectric permittivities ε1 and ε2, the magnetic permeabilities μ1 and μ2, the chirality parameters γ1 and γ2 and the thicknesses d1 and d2. By diagonalizing an 8 × 8 matrix derived from the two coupled wave equations satisfied by our system, we obtain exact analytical expressions for the dispersion relation for plane electromagnetic waves propagating at an arbitrary angle with respect to the layers. We present a detailed analysis of our dispersion relation and explore the evolution of the photonic band structure as the frequency, the chirality parameter and the incident angle vary, with a special emphasis on the generation of the cross- and co-polarization bandgaps. |
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| Keywords: | Chiral medium Photonic crystal Photonic band structure |
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