The Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified Waveguides
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2011/259479 |
| Summary: | 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. |
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| ISSN: | 1024-123X 1563-5147 |