Operator Form of the Generalized Optical Theorem for Wave Problems

The operator form of the generalized optical theorem (OT) obtained earlier for the scalar wave equation is extended to the case of electromagnetic radiation, as well as other wave equations. It is shown that in the transition from the operator to the usual OT, instead of the “forward” scattering amp...

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Bibliographic Details
Published in:Technical physics 2024-02, Vol.69 (2), p.129-134
Main Author: Apresyan, L. A.
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Electromagnetic radiation
Incident waves
Physics
Physics and Astronomy
Scattering amplitude
Theorems
Wave equations
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Summary:The operator form of the generalized optical theorem (OT) obtained earlier for the scalar wave equation is extended to the case of electromagnetic radiation, as well as other wave equations. It is shown that in the transition from the operator to the usual OT, instead of the “forward” scattering amplitude, the diagonal matrix element of the T -scattering operator corresponding to the incident wave appears. The transitions to known forms of OT following from operator OT as special cases are also illustrated.
ISSN:1063-7842
1090-6525
DOI:10.1134/S106378422401002X