title: Applying a mapped pseudospectral time-domain method in simulating diffractive optical elements.
abstract: 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.
authors.affiliation: Department of Electrical and Computer Engineering, University of Delaware, Newark, Delaware 19716, USA. xigao@ee.udel.edu
authors.forename: Xiang
authors.initials: X
authors.lastname: Gao
authors.forename: Mark S
authors.initials: MS
authors.lastname: Mirotznik
authors.forename: Shouyuan
authors.initials: S
authors.lastname: Shi
authors.forename: Dennis W
authors.initials: DW
authors.lastname: Prather