Fast Multipole Methods for Wave Interactions in Layered Media

Wei Cai ()
Additional contact information
Wei Cai: Southern Methodist University, Department of Mathematics

Chapter Chapter 10 in Deterministic, Stochastic, and Deep Learning Methods for Computational Electromagnetics, 2025, pp 279-300 from Springer

Abstract: Abstract This chapter, as a continuation of Chap. 7 , will present the fast multipole methods for wave source interaction in layered media. The key mathematical foundations include multipole expansion (ME) and local expansion (LE) for wave sources embedded in layered media, extending the ME/LE for free space based on the addition theory of Bessel functions discussed in Sect. 7.4 . For Green’s functions in layered media corresponding to wave interactions in a layered setting, a plane wave representation of the Green’s function is used to derive the ME/LE and their translation operators.

Date: 2025
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:spr:sprchp:978-981-96-0100-4_10

Ordering information: This item can be ordered from
http://www.springer.com/9789819601004

DOI: 10.1007/978-981-96-0100-4_10

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().