10 February 1981 New Improvement Of The Differential Formalism For High-Modulated Gratings
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Abstract
The differential method used to compute the field diffracted by a grating is based on a shooting method which requires the integration of a set ordinary differential equation from the bottom up to the top of the grooves. Numerical instabilities appearing for dielectric gratings with grooves deeper than the grating period are reduced if a formulation using two simultaneous counter-running numerical step-by-step integrations is used. Such a formulation is devised here for the TE, TM and general (conical diffraction) cases. Numerical examples are given to demonstrate the improvement of the method.
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Patrick Vincent, Patrick Vincent, } "New Improvement Of The Differential Formalism For High-Modulated Gratings", Proc. SPIE 0240, Periodic Structures, Gratings, Moire Patterns, and Diffraction Phenomena I, (10 February 1981); doi: 10.1117/12.965649; https://doi.org/10.1117/12.965649
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