Open AccessThe Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified Waveguides
Author(s) -
Peng Li,
Weizhou Zhong
Publication year - 2011
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2011/259479
Subject(s) - helmholtz equation , cauchy distribution , operator (biology) , range (aeronautics) , inverse problem , mathematics , inverse , mathematical analysis , helmholtz free energy , mathematical optimization , geometry , physics , engineering , biochemistry , chemistry , transcription factor , gene , boundary value problem , aerospace engineering , repressor , quantum mechanics
The inverse fundamental operator marching method (IFOMM) is suggested tosolve Cauchy problems associated with the Helmholtz equation in stratified waveguides.It is observed that the method for large-scale Cauchy problems is computationallyefficient, highly accurate, and stable with respect to the noise in the datafor the propagating part of a starting field. In further, the application scope of theIFOMM is discussed through providing an error estimation for the method. The estimationindicates that the IFOMM particularly suits to compute wave propagationin long-range and slowly varying stratified waveguides
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