### Abstract

*m*= 0 or 1, weighted by algebraic functions.

Original language | English |
---|---|

Pages (from-to) | 5485 - 5492 |

Number of pages | 8 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 37 |

Issue number | 20 |

DOIs | |

Publication status | Published - 2004 |

MoE publication type | A1 Journal article-refereed |

### Fingerprint

### Keywords

- inverse problems
- minimum energy sources
- prolate spheroid

### Cite this

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*Journal of Physics A: Mathematical and General*, vol. 37, no. 20, pp. 5485 - 5492. https://doi.org/10.1088/0305-4470/37/20/016

**Conversion between two bases of rotationally symmetric spheroidal vector wavefunctions.** / Sten, Johan.

Research output: Contribution to journal › Article › Scientific › peer-review

TY - JOUR

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

AU - Sten, Johan

PY - 2004

Y1 - 2004

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

EP - 5492

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 20

ER -