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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: Stephen A. Burns
  • Vol. 23, Iss. 9 — Sep. 1, 2006
  • pp: 2192–2197

Rigorous analysis of diffraction gratings of arbitrary profiles using virtual photonic crystals

Wei Jiang and Ray T. Chen  »View Author Affiliations


JOSA A, Vol. 23, Issue 9, pp. 2192-2197 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002192


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Abstract

A new approach is developed to calculate diffraction efficiency for a dielectric grating with an arbitrary refractive index profile. By treating a one-dimensional grating as a segment of a virtual two-dimensional (2D) photonic crystal, we exploit a rigorous theory of photonic crystal refraction and calculate the diffraction efficiencies. We expand, analytically in many cases, the dielectric function of the grating into 2D Fourier series. We find the eigenmodes for the virtual photonic crystal, and then use these eigenmodes to match the boundary conditions by solving a set of linear equations. In two such simple steps, the diffraction efficiencies can be computed rigorously without slicing the grating into thin layers.

© 2006 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory

ToC Category:
Diffraction and Gratings

History
Original Manuscript: February 10, 2006
Revised Manuscript: April 4, 2006
Manuscript Accepted: April 4, 2006

Citation
Wei Jiang and Ray T. Chen, "Rigorous analysis of diffraction gratings of arbitrary profiles using virtual photonic crystals," J. Opt. Soc. Am. A 23, 2192-2197 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-9-2192


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