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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 19, Iss. 2 — Jan. 15, 1994
  • pp: 84–86

Numerical simulation of reflecting structures by solution of the two-dimensional Helmholtz equation

G. Ronald Hadley  »View Author Affiliations


Optics Letters, Vol. 19, Issue 2, pp. 84-86 (1994)
http://dx.doi.org/10.1364/OL.19.000084


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Abstract

A method is described for modeling two-dimensional reflecting structures based on a solution of the scalar Helmholtz equation. The equation is solved by use of an alternating-direction-implicit iterative method together with a semioptimum sequence of acceleration parameters similar to those introduced decades ago for the solution of elliptic equations with positive-definite operators. The resulting technique is efficient and simple to program, permits the simulation of complex structures with modest storage requirements, and is of very general applicability.

© 1994 Optical Society of America

History
Original Manuscript: July 28, 1993
Published: January 15, 1994

Citation
G. Ronald Hadley, "Numerical simulation of reflecting structures by solution of the two-dimensional Helmholtz equation," Opt. Lett. 19, 84-86 (1994)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-19-2-84

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