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 $32\times 32\text{\hspace{0.17em}pixels}$ 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

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

Ben Layet and Mohammad R. Taghizadeh
Opt. Lett. 21(18) 1508-1510 (1996)

New formulation of the Fourier modal method for crossed surface-relief gratings

Lifeng Li
J. Opt. Soc. Am. A 14(10) 2758-2767 (1997)

Electromagnetic analysis of fan-out gratings and diffractive cylindrical lens arrays by field stitching

Ben Layet and Mohammad R. Taghizadeh
J. Opt. Soc. Am. A 14(7) 1554-1561 (1997)

Chebyshev collocation Dirichlet-to-Neumann map method for diffraction gratings

Dawei Song and Ya Yan Lu
J. Opt. Soc. Am. A 26(9) 1980-1988 (2009)

Group-theoretic approach to the enhancement of the Fourier modal method for crossed gratings: C₂ symmetry case

Benfeng Bai and Lifeng Li
J. Opt. Soc. Am. A 22(4) 654-661 (2005)