A new technique for the analysis of two-dimensional diffractive optical elements, by use of the pseudospectral time-domain (PSTD) method, is presented. In particular, the method uses a nonuniform (NU) grid and a mapping technique to obtain very accurate spatial derivatives in an efficient manner. To this end, we present the formulation of the PSTD method by using a NU grid and compare its application to the analysis with that of the finite-difference time-domain (FDTD) method. Using only a fraction of the memory and a fraction of the computation time used by FDTD, the mapped PSTD was able to obtain very close results to FDTD.
© 2004 Optical Society of America
Original Manuscript: July 24, 2003
Revised Manuscript: January 6, 2004
Manuscript Accepted: January 6, 2004
Published: May 1, 2004
Xiang Gao, Mark S. Mirotznik, Shouyuan Shi, and Dennis W. Prather, "Applying a mapped pseudospectral time-domain method in simulating diffractive optical elements," J. Opt. Soc. Am. A 21, 777-785 (2004)