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Local Splitting into Incoming and Outgoing Waves and the Integral Representation of Regular Scalar Waves
Journal article   Peer reviewed

Local Splitting into Incoming and Outgoing Waves and the Integral Representation of Regular Scalar Waves

Didier Felbacq and Emmanuel Rousseau
Mathematics , Vol.13(17)
2025
DOI: https://doi.org/10.3390/math13172875

Abstract

Integral representation Scalar wave Scattering theory MSC: 35C15
The problem of the integral representation over a bounded surface of a regular field satisfying the Helmholtz equation in all space is investigated. This problem is equivalent to local splitting into an incoming field and an outgoing field. This splitting is not possible in general.
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