We report on the results of a new and exact scattering theory, which describes reflection and transmission of light at the surface of an arbitrarily shaped photonic crystal by "equivalent suface current distributions," (strata). The method is applied for the calculation of the transmission coefficients of an incoming plane wave by a number of slabs with different widths made of a photonic crystal material. These transmission coefficients show a double exponential behavior as a function of the width. A generic model is presented leading to a qualitative interpretation of this result. (Summary only available)
We present a new method to calculate the scattering of light at the surface of a photonic crystal. The problem is solved in terms of virtual surface-current distributions and the calculation takes full advantage of the existing infinite-space plane-wave expansion method for obtaining the photonic band structure. Working with surface currents makes the calculations less-time consuming by means of reduction of the dimensionality in the problem. The method is tested and illustrated for semi-infinite two-dimensional photonic crystals of small and large dielectric contrast.
A four-level model, involving the ground, one-exciton and two- exciton states as well as a high-lying molecular term through which the two-exciton state annihilates, is used for analyzing the bistable optical response of an ultrathin film built up of oriented molecular aggregates. We focus on the effects of inhomogeneous broadening of the exciton optical transitions and exciton-exciton annihilation on bistability of the film response. It turns out that the inhomogeneous broadening, preventing generally the occurrence of bistability, may be suppressed considerably due to a fast exciton-exciton annihilation.
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