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

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


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 languageEnglish
Pages (from-to)64-71
Number of pages8
JournalAmerican Journal of Physics
Issue number1
Publication statusPublished - 2003 Jan 1

ASJC Scopus subject areas

  • General Physics and Astronomy


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