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We present a high-order accuracy compact transparent boundary condition (TBC) for the Helmholtz equation. These TBC coefficients are derived from the principle of local plane wave extrapolation (LPWE). LPWE is when an EM field at a given point on the computational border is computed from the combined extrapolated field of a carefully chosen set of outgoing plane waves that pass through all neighboring...
We present method of connected local fields to solve Helmholtz equation for high index-contrast dielectric structures with circular interfaces. Numerical examples of computing two-dimensional Green's functions for silica rods in free space are discussed. Our method is based on the piece-wise linear approximation of the dielectric curved interface combined with a wide-angle transparent boundary condition...
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