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Proceedings Paper

New Improvement Of The Differential Formalism For High-Modulated Gratings
Author(s): Patrick Vincent
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Paper 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.

Paper Details

Date Published: 10 February 1981
PDF: 8 pages
Proc. SPIE 0240, Periodic Structures, Gratings, Moire Patterns, and Diffraction Phenomena I, (10 February 1981); doi: 10.1117/12.965649
Show Author Affiliations
Patrick Vincent, Laboratoire d'Optique Electromagnetique (France)

Published in SPIE Proceedings Vol. 0240:
Periodic Structures, Gratings, Moire Patterns, and Diffraction Phenomena I
C. H. Chi; E. G. Loewen; C. L. O'Bryan III, Editor(s)

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