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

Didier Felbacq () and Emmanuel Rousseau
Additional contact information
Didier Felbacq: Laboratory Charles Coulomb, University of Montpellier, 34095 Montpellier, France
Emmanuel Rousseau: Laboratory Charles Coulomb, University of Montpellier, 34095 Montpellier, France

Mathematics, 2025, vol. 13, issue 17, 1-10

Abstract: 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.

Keywords: scattering theory; scalar waves; integral representation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/17/2875/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/17/2875/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:17:p:2875-:d:1743427

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().