For block-shaped dielectric gratings with two-dimensional periodicity, a spectral-domain volume integral equation is derived in which explicit Fourier factorization rules are employed. The Fourier factorization rules are derived from a projection-operator framework and enhance the numerical accuracy of the method, while maintaining a low computational complexity of O(Nlog¿N) or better and a low memory demand of O(N).
|Journal||Journal of the Optical Society of America A, Optics, Image Science and Vision|
|Publication status||Published - 2011|
Beurden, van, M. C. (2011). Fast convergence with spectral volume integral equation for crossed block-shaped gratings with improved material interface conditions. Journal of the Optical Society of America A, Optics, Image Science and Vision, 28(11), 2269-2278. https://doi.org/10.1364/JOSAA.28.002269