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Discrete Reflectivity Minimized Layer for Truncating Unbounded Domains

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Abstract

The discrete reflectivity minimized layer (DRML) is a new technique for terminating unbounded domains for numerical simulations of wave propagation problems. It is developed in connection with the Helmholtz equation and a finite difference approximation. In the widely used perfectly matched layer (PML) method, the differential equation is first modified analytically and then discretized. The DRML is designed for the discretized system directly based on minimizing the discrete reflectivity. A PML is used as the initial guess for computing the DRML iteratively.

© 2006 Optical Society of America

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