Accurate modeling of transparent boundaries in quasi-optics
Article first published online: 7 DEC 2012
Copyright 1996 by the American Geophysical Union.
Volume 31, Issue 6, pages 1781–1790, November-December 1996
How to Cite
1996), Accurate modeling of transparent boundaries in quasi-optics, Radio Sci., 31(6), 1781–1790, doi:10.1029/96RS02538.(
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 22 JUL 1996
- Manuscript Received: 21 SEP 1995
A general approach to reduction of the infinite computational domain to a strip or a cylinder is developed for two- and three-dimensional narrow-angle diffraction problems. Our method is based on constructing exact solutions of the parabolic wave equation in open subdomains free of nonuniform diffractive objects. As a result, an exact nonlocal boundary condition is derived providing full transparency of the artificially introduced computational border. This technique leads to an essential reduction of the computing time without any loss of accuracy, which is illustrated by practical examples from radio propagation and X ray diffractive optics. Extension of the method onto quasi-stratified environments and modified parabolic equations is discussed.