Reformulation of the coordinate transformation method through the concept of adaptive spatial resolution. Application to trapezoidal gratings.

Abstract

We reformulate the coordinate transformation method for profiles represented by parametric equations. Numerically, the eigenvalue problem is solved by expanding both the electromagnetic field and the periodic coefficients of Maxwell's equations into Fourier series. For trapezoidal gratings, it is shown that the convergence of the method is closely related… (More)

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