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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 7 — Jul. 1, 2004
  • pp: 1344–1361

Modeling optical properties of liquid-crystal devices by numerical solution of time-harmonic Maxwell equations

Nandana D. Amarasinghe, Eugene C. Gartland, Jr., and Jack R. Kelly  »View Author Affiliations


JOSA A, Vol. 21, Issue 7, pp. 1344-1361 (2004)
http://dx.doi.org/10.1364/JOSAA.21.001344


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Abstract

We consider numerical modeling of the optical properties of devices typical of beam-steering devices based on liquid-crystal materials: two-dimensional, anisotropic and inhomogeneous dielectric properties, periodic in one dimension. A mathematical formulation of the system of second-order partial differential equations for the components of the time-harmonic electric field is discretized by using a finite-element method based on curl-conforming edge elements. The discrete equations are also interpreted as equivalent finite-difference equations. It is shown how the resulting large sparse complex system of linear algebraic equations can be solved by an iterative method with convergence accelerated by a preconditioner based on fast Fourier transforms. Benchmarking results and the application to a realistic problem are reported. The practical limitations of the approach and its advantages and disadvantages compared with other approaches are discussed.

© 2004 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(160.3710) Materials : Liquid crystals
(230.3720) Optical devices : Liquid-crystal devices
(260.1180) Physical optics : Crystal optics
(260.2110) Physical optics : Electromagnetic optics

History
Original Manuscript: July 5, 2003
Revised Manuscript: January 26, 2004
Manuscript Accepted: January 26, 2004
Published: July 1, 2004

Citation
Nandana D. Amarasinghe, Eugene C. Gartland, and Jack R. Kelly, "Modeling optical properties of liquid-crystal devices by numerical solution of time-harmonic Maxwell equations," J. Opt. Soc. Am. A 21, 1344-1361 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-7-1344

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