Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Waterman and Rayleigh methods for diffraction grating problems: extension of the convergence domain

Not Accessible

Your library or personal account may give you access

Abstract

We show that the Waterman method, a classical and rigorous method of electromagnetics for scattering by surfaces or objects, can be significantly improved. In a first step, it is shown, in the case of scattering by gratings, that the origin of the instabilities encountered in the numerical implementation of the method must be found in the ill conditioning of the equations. A well-adapted regularization process allows us to extend the domain of convergence of the method by a factor of approximately 40% in the range of groove depth for one-dimensional gratings and s polarization. Finally, we show that the same kind of regularization can extend the domain of convergence of the Rayleigh method.

© 1998 Optical Society of America

Full Article  |  PDF Article
More Like This
Regularized Waterman and Rayleigh methods: extension to two-dimensional gratings

M. Bagieu and D. Maystre
J. Opt. Soc. Am. A 16(2) 284-292 (1999)

Convergence of the coupled-wave method for metallic lamellar diffraction gratings

Lifeng Li and Charles W. Haggans
J. Opt. Soc. Am. A 10(6) 1184-1189 (1993)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (10)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (61)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved