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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

  • Editor: Steven A. Burns
  • Vol. 24, Iss. 9 — Sep. 1, 2007
  • pp: 2831–2836

Numerical analysis and synthesis of 2D quasi-optical reflectors and beam waveguides based on an integral-equation approach with Nystrom’s discretization

Andrey A. Nosich, Yuriy V. Gandel, Thore Magath, and Ayhan Altintas  »View Author Affiliations


JOSA A, Vol. 24, Issue 9, pp. 2831-2836 (2007)
http://dx.doi.org/10.1364/JOSAA.24.002831


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Abstract

Considered is the beam wave guidance and scattering by 2D quasi-optical reflectors modeling the components of beam waveguides. The incident field is taken as the complex-source-point field to simulate a finite-width beam generated by a small-aperture source. A numerical solution is obtained from the coupled singular integral equations (SIEs) for the surface currents on reflectors, discretized by using the recently introduced Nystrom-type quadrature formulas. This analysis is applied to study what effect the edge illumination has on the performance of a chain of confocal elliptic reflectors. We also develop a semianalytical approach for shaped reflector synthesis after a prescribed near-field pattern. Here a new point is the use of auxiliary SIEs of the same type as in the scattering analysis problem, however, for the gradient of the objective function. Sample results are presented for the synthesis of a reflector-type beam splitter.

© 2007 Optical Society of America

OCIS Codes
(140.0140) Lasers and laser optics : Lasers and laser optics
(140.3290) Lasers and laser optics : Laser arrays
(140.3410) Lasers and laser optics : Laser resonators
(140.4780) Lasers and laser optics : Optical resonators
(140.5960) Lasers and laser optics : Semiconductor lasers
(230.5750) Optical devices : Resonators

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: December 8, 2006
Revised Manuscript: April 26, 2007
Manuscript Accepted: May 3, 2007
Published: August 10, 2007

Citation
Andrey A. Nosich, Yuriy V. Gandel, Thore Magath, and Ayhan Altintas, "Numerical analysis and synthesis of 2D quasi-optical reflectors and beam waveguides based on an integral-equation approach with Nystrom's discretization," J. Opt. Soc. Am. A 24, 2831-2836 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-9-2831

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