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

Maxwell equations in Fourier space: fast-converging formulation for diffraction by arbitrary shaped, periodic, anisotropic media

Not Accessible

Your library or personal account may give you access

Abstract

We establish the most general differential equations that are satisfied by the Fourier components of the electromagnetic field diffracted by an arbitrary periodic anisotropic medium. The equations are derived by use of the recently published fast-Fourier-factorization (FFF) method, which ensures fast convergence of the Fourier series of the field. The diffraction by classic isotropic gratings arises as a particular case of the derived equations; the case of anisotropic classic gratings was published elsewhere. The equations can be resolved either through classic differential theory or through the modal method for particular groove profiles. The new equations improve both methods in the same way. Crossed gratings, among which are grids and two-dimensional arbitrarily shaped periodic surfaces, appear as particular cases of the theory, as do three-dimensional photonic crystals. The method can be extended to nonperiodic media through the use of a Fourier transform.

© 2001 Optical Society of America

Full Article  |  PDF Article
More Like This
Grating theory: new equations in Fourier space leading to fast converging results for TM polarization

Evgeni Popov and Michel Nevière
J. Opt. Soc. Am. A 17(10) 1773-1784 (2000)

Diffraction theory in TM polarization: application of the fast Fourier factorization method to cylindrical devices with arbitrary cross section

Philippe Boyer, Evgeni Popov, Michel Nevière, and Gérard Tayeb
J. Opt. Soc. Am. A 21(11) 2146-2153 (2004)

Differential theory of gratings made of anisotropic materials

Koki Watanabe, Roger Petit, and Michel Nevière
J. Opt. Soc. Am. A 19(2) 325-334 (2002)

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 (1)

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

Equations (84)

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