Inverse scattering: Solution of coupled Gel'fand-Levitan-Marchenko integral equations using successive kernel approximations

 
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1995 (EN)
Inverse scattering: Solution of coupled Gel'fand-Levitan-Marchenko integral equations using successive kernel approximations (EN)

Frangos Panayiotis, V (EN)
Jaggard Dwight, L (EN)

N/A (EN)

We develop a method of successive kernel approximations to solve coupled Gel'fand-Levitan-Marchenko (GLM) integral equations, These equations appear in the synthesis problem of nonuniform and lossy transmission lines, the inversion of absorbing dielectrics and wavenumber-dependent potentials, the design of corrugated waveguide filters, soliton theory, and other applications, We find that our method is easy to apply, more accurate than previously developed methods, and can be used for a larger number of applications when compared to prior work, As an application and example, wavenumber- dependent potentials are reconstructed from scattering data. (EN)

journalArticle

Electromagnetic wave scattering (EN)
Inverse problems (EN)
Numerical analysis (EN)
Dielectric materials (EN)
Integral equations (EN)
Waveguides (EN)
Coupled Gel'fand-Levitan-Marchenko integral equations (EN)
Approximation theory (EN)
Mathematical models (EN)
Successive kernel approximations (EN)
Transmission line theory (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

IEEE Transactions on Antennas and Propagation (EN)

1995


IEEE, Piscataway, NJ, United States (EN)



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