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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. 26, Iss. 12 — Dec. 1, 2009
  • pp: 2648–2653

Analysis of crossed gratings with large periods and small feature sizes by stitching of the electromagnetic field

Florian Hudelist, Andrew J. Waddie, and Mohammad R. Taghizadeh  »View Author Affiliations


JOSA A, Vol. 26, Issue 12, pp. 2648-2653 (2009)
http://dx.doi.org/10.1364/JOSAA.26.002648


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Abstract

We present a new algorithm that enables the analysis of large two-dimensional optical gratings with very small feature sizes using the Fourier modal method (FMM). With the conventional algorithm such structures cannot be solved because of limitations in computer memory and calculation time. By dividing the grating into several smaller subgratings and solving them sequentially, both memory requirement and calculation time can be reduced dramatically. We have calculated a grating with 32 × 32  pixels for a different number of subgratings. We show that the increased performance is directly related to the size of the subgratings. The field-stitched calculations prove to be very accurate and agree well with the predictions from the standard FMM approach.

© 2009 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(050.2770) Diffraction and gratings : Gratings
(350.3950) Other areas of optics : Micro-optics
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Diffraction and Gratings

History
Original Manuscript: September 30, 2009
Manuscript Accepted: October 24, 2009
Published: November 24, 2009

Citation
Florian Hudelist, Andrew J. Waddie, and Mohammad R. Taghizadeh, "Analysis of crossed gratings with large periods and small feature sizes by stitching of the electromagnetic field," J. Opt. Soc. Am. A 26, 2648-2653 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-12-2648

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