Conversion between two bases of rotationally symmetric spheroidal vector wavefunctions

Johan Sten

Research output: Contribution to journalArticleScientificpeer-review

Abstract

A conversion between two eigenfunction bases of spheroidal vector wavefunctions is described, both bases comprising two independent sets of solutions for the electro-magnetic vector wave equation with azimuthal symmetry. A set of definite integrals over the angular variable, arising in the conversion is evaluated in closed form, each integral containing a product of two angular spheroidal wavefunctions with m = 0 or 1, weighted by algebraic functions.
Original languageEnglish
Pages (from-to)5485 - 5492
Number of pages8
JournalJournal of Physics A: Mathematical and General
Volume37
Issue number20
DOIs
Publication statusPublished - 2004
MoE publication typeA1 Journal article-refereed

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Wave functions
Definite integral
Algebraic function
Wave equations
Independent Set
Eigenvalues and eigenfunctions
wave equations
Eigenfunctions
Wave equation
eigenvectors
Closed-form
Symmetry
symmetry
products

Keywords

  • inverse problems
  • minimum energy sources
  • prolate spheroid

Cite this

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title = "Conversion between two bases of rotationally symmetric spheroidal vector wavefunctions",
abstract = "A conversion between two eigenfunction bases of spheroidal vector wavefunctions is described, both bases comprising two independent sets of solutions for the electro-magnetic vector wave equation with azimuthal symmetry. A set of definite integrals over the angular variable, arising in the conversion is evaluated in closed form, each integral containing a product of two angular spheroidal wavefunctions with m = 0 or 1, weighted by algebraic functions.",
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Conversion between two bases of rotationally symmetric spheroidal vector wavefunctions. / Sten, Johan.

In: Journal of Physics A: Mathematical and General, Vol. 37, No. 20, 2004, p. 5485 - 5492.

Research output: Contribution to journalArticleScientificpeer-review

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T1 - Conversion between two bases of rotationally symmetric spheroidal vector wavefunctions

AU - Sten, Johan

PY - 2004

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N2 - A conversion between two eigenfunction bases of spheroidal vector wavefunctions is described, both bases comprising two independent sets of solutions for the electro-magnetic vector wave equation with azimuthal symmetry. A set of definite integrals over the angular variable, arising in the conversion is evaluated in closed form, each integral containing a product of two angular spheroidal wavefunctions with m = 0 or 1, weighted by algebraic functions.

AB - A conversion between two eigenfunction bases of spheroidal vector wavefunctions is described, both bases comprising two independent sets of solutions for the electro-magnetic vector wave equation with azimuthal symmetry. A set of definite integrals over the angular variable, arising in the conversion is evaluated in closed form, each integral containing a product of two angular spheroidal wavefunctions with m = 0 or 1, weighted by algebraic functions.

KW - inverse problems

KW - minimum energy sources

KW - prolate spheroid

U2 - 10.1088/0305-4470/37/20/016

DO - 10.1088/0305-4470/37/20/016

M3 - Article

VL - 37

SP - 5485

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JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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ER -