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1 March 2006 Photonic crystal devices analysis based on perturbation theory
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A novel approach for photonic crystals devices analysis, based on perturbation theory is reported. In this method the photonic crystal device is considered as the superposition of a parent lattice and a perturbing one. Then the solution is investigated in terms of the eigensolutions of the parent lattice. This way, one can easily obtain analytic expressions within the first order perturbation, describing the effects of different parameters on the eigensolutions of the structure. The perturbation theory employed in this work is typical of what is conventionally used in quantum mechanics literature. The proposed method is explicit, works fast, and does not involve complicated numerical calculations. Although this approach can be used to obtain some rules of thumb about the eigensolutions of the device within the first order perturbation approximation, it can be further followed to higher order perturbation terms for acquiring any desired level of accuracy. Since the presented method is mostly formulated analytically, not much computational effort is required for analyzing complex structures. In this paper the approach is described in detail and some examples are given to show the usefulness of it.
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Maysamreza Chamanzar, Sina Khorasani, and Amirhossein Atabaki "Photonic crystal devices analysis based on perturbation theory", Proc. SPIE 6128, Photonic Crystal Materials and Devices IV, 61281J (1 March 2006);

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