An exact solution of the Lippmann-Schwinger equation in one dimension

T. R. Yang; M. M. Dvoynenko; A. V. Goncharenko; V. Z. Lozovski

doi:10.1119/1.1509423

An exact solution of the Lippmann-Schwinger equation in one dimension

T. R. Yang^*, M. M. Dvoynenko, A. V. Goncharenko, V. Z. Lozovski

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

We consider a one-dimensional scattering problem and establish a system of two integral equations for the local (self-consistent) electric field. The equations are derived using the standard Green's function method. Their solution yields the local fields at any point of the system. To illustrate the efficacy of this approach, we apply it to a film and obtain analytical solutions that are identical to the Fabry-Perot solution. Some potential applications of the approach are also discussed.

Original language	English
Pages (from-to)	64-71
Number of pages	8
Journal	American Journal of Physics
Volume	71
Issue number	1
DOIs	https://doi.org/10.1119/1.1509423
Publication status	Published - 2003 Jan 1

ASJC Scopus subject areas

General Physics and Astronomy

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AB - We consider a one-dimensional scattering problem and establish a system of two integral equations for the local (self-consistent) electric field. The equations are derived using the standard Green's function method. Their solution yields the local fields at any point of the system. To illustrate the efficacy of this approach, we apply it to a film and obtain analytical solutions that are identical to the Fabry-Perot solution. Some potential applications of the approach are also discussed.

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An exact solution of the Lippmann-Schwinger equation in one dimension

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