A collocation‐type method for the solution of inverse problems in dispersive scattering theory | Zendy

Razzaghi Mohsen | Zendy; Ahmad Falih | Zendy

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A collocation‐type method for the solution of inverse problems in dispersive scattering theory

Author(s) -

Razzaghi Mohsen,

Ahmad Falih

Publication year - 1995

Publication title -

microwave and optical technology letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.304

H-Index - 76

eISSN - 1098-2760

pISSN - 0895-2477

DOI - 10.1002/mop.4650090107

Subject(s) - legendre polynomials , mathematics , collocation (remote sensing) , inverse , gauss , inverse problem , interpolation (computer graphics) , collocation method , inverse scattering problem , polynomial , impulse response , mathematical analysis , computer science , physics , differential equation , geometry , telecommunications , ordinary differential equation , quantum mechanics , frame (networking) , machine learning

This article introduces a numerical technique for solving the inverse problem in dispersive scattering theory. The inverse problem is first formulated as a relationship between the impulse response R and the susceptibility kernel G. Using the Legendre‐Gauss‐Lobatto nodes we construct the Nth polynomial interpolation to approximate the solution of G for a given R. This method is efficient and yields very accurate results. Illustrative examples are included to demonstrate the accuracy of the proposed method. © 1995 John Wiley & Sons, Inc.

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