Abstract
Consider a time-harmonic electromagnetic plane wave incident on a periodic surface. The optical medium may be linear, chiral, or nonlinear. The diffraction problem is to predict energy distributions of the propagating waves away from the structure. The process is governed by time-harmonic Maxwell’s equations. In this paper, direct, inverse, and optimal design problems in the mathematical modeling of diffractive optics are studied. Results on mathematical and computational aspects of the model problems are presented.
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