Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 259479, 15 pages
Research Article

The Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified Waveguides

1Department of Mathematics, North China University of Water Conservancy and Electric Power, Zhengzhou 450011, China
2School of Economics and Finance, Xi'an Jiaotong University, Xi'an 710061, China

Received 28 February 2011; Accepted 28 May 2011

Academic Editor: Ming Li

Copyright © 2011 Peng Li and Weizhou Zhong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The inverse fundamental operator marching method (IFOMM) is suggested to solve Cauchy problems associated with the Helmholtz equation in stratified waveguides. It is observed that the method for large-scale Cauchy problems is computationally efficient, highly accurate, and stable with respect to the noise in the data for the propagating part of a starting field. In further, the application scope of the IFOMM is discussed through providing an error estimation for the method. The estimation indicates that the IFOMM particularly suits to compute wave propagation in long-range and slowly varying stratified waveguides.