Abstract
This paper reports on schemes for the accurate determination of the electromagnetic properties of photonic crystals with arbitrary underlying lattice symmetry, using a real space transfer matrix method. The schemes are applied to hexagonal crystals and diamond-symmetry crystals, and results are compared with those obtained using a plane wave expansion method. The transfer matrix method is then applied to systems which comprise stacked finite-thickness photonic crystals with different but overlapping photonic stop bands, between which there can exist a planar cavity. Such ultra wide band gap structures can display scattering characteristics attributable to the presence of resonant modes at frequencies within the intersection of the stop band frequency ranges of the individual crystals. An initial study is presented of two stacked hexagonal crystals whose invariant axes are parallel. Results for stacked diamond-symmetry photonic crystals axe imminent.
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© 1996 Kluwer Academic Publishers
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Roberts, P.J., Tapster, P.R., Shepherd, T.J. (1996). Photonic Band Structures and Resonant Modes. In: Soukoulis, C.M. (eds) Photonic Band Gap Materials. NATO ASI Series, vol 315. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1665-4_15
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DOI: https://doi.org/10.1007/978-94-009-1665-4_15
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