A second-order finite-element adaptive strategy with error control for one-dimensional grating problems is developed. The unbounded computational domain is truncated to a bounded one by a perfectly-matched-layer (PML) technique. The PML parameters, such as the thickness of the layer and the medium properties, are determined through sharp a posteriori error estimates. The adaptive finite-element method is expected to increase significantly the accuracy and efficiency of the discretization as well as reduce the computation cost. Numerical experiments are included to illustrate the competitiveness of the proposed adaptive method.
© 2005 Optical Society of America
Original Manuscript: October 19, 2004
Manuscript Accepted: December 10, 2004
Published: June 1, 2005
Gang Bao, Zhiming Chen, and Haijun Wu, "Adaptive finite-element method for diffraction gratings," J. Opt. Soc. Am. A 22, 1106-1114 (2005)