Local Splitting into Incoming and Outgoing Waves and the Integral Representation of Regular Scalar Waves
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.
Authors
- Didier Felbacq (ORCID: https://orcid.org/0000-0002-7972-1761)
- Emmanuel Rousseau (ORCID: https://orcid.org/0000-0003-3079-9055)
Institutions
- Laboratoire Charles Coulomb (FR)
Publication Details
- Journal
- Mathematics
- Published
- 2025-09-05
- DOI
- https://doi.org/10.3390/math13172875
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00