# Robust high-order numerical scattering from multi-layer dielectric gratings using a new integral representation for quasi-periodic fields

@inproceedings{Barnett2011RobustHN, title={Robust high-order numerical scattering from multi-layer dielectric gratings using a new integral representation for quasi-periodic fields}, author={Alex H. Barnett and Leslie Greengard}, year={2011} }

- Published 2011

Many numerical problems arising in modern photonic and electromagnetic applications involve the scattering o f a plane wave from a piecewise-homogeneous medium, periodic in one direction. Boundary integral equations are an efficient approach to solving such boundary-value problems with high-order convergence. The standard way to periodize is then to replace the free-space Green’s function kernel with its quasi-periodic cousin. However, a major drawback is that the quasi-periodic Green’s… CONTINUE READING

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