Investigation into Nonperiodic Lamé Functions and Application to Electromagnetic Problems

Elias Vafiadis; John N. Sahalos

doi:10.1016/0016-0032(83)90024-8

Investigation into Nonperiodic Lamé Functions and Application to Electromagnetic Problems

Elias Vafiadis
, John N. Sahalos

Department of Engineering

Democritus University of Thrace

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

Abstract

An investigation into nonperiodic Lamé functions is presented. Those functions are given in series form for the even and odd Dirichlet and Neumann problems. Results are shown for the eigenfunctions and eigenvalues. An application of the Lamé functions in an analytic study of electromagnetic diffraction by a perfectly conducting elliptic cone is presented.

Original language	English
Pages (from-to)	195-210
Number of pages	16
Journal	Journal of the Franklin Institute
Volume	315
Issue number	3
DOIs	https://doi.org/10.1016/0016-0032(83)90024-8
Publication status	Published - 1983

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title = "Investigation into Nonperiodic Lam{\'e} Functions and Application to Electromagnetic Problems",

abstract = "An investigation into nonperiodic Lam{\'e} functions is presented. Those functions are given in series form for the even and odd Dirichlet and Neumann problems. Results are shown for the eigenfunctions and eigenvalues. An application of the Lam{\'e} functions in an analytic study of electromagnetic diffraction by a perfectly conducting elliptic cone is presented.",

author = "Elias Vafiadis and Sahalos, \{John N.\}",

year = "1983",

doi = "10.1016/0016-0032(83)90024-8",

language = "English",

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journal = "Journal of the Franklin Institute",

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AU - Vafiadis, Elias

AU - Sahalos, John N.

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AB - An investigation into nonperiodic Lamé functions is presented. Those functions are given in series form for the even and odd Dirichlet and Neumann problems. Results are shown for the eigenfunctions and eigenvalues. An application of the Lamé functions in an analytic study of electromagnetic diffraction by a perfectly conducting elliptic cone is presented.

UR - https://www.scopus.com/pages/publications/0020720202

U2 - 10.1016/0016-0032(83)90024-8

DO - 10.1016/0016-0032(83)90024-8

M3 - Article

AN - SCOPUS:0020720202

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VL - 315

SP - 195

EP - 210

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 3

ER -

Investigation into Nonperiodic Lamé Functions and Application to Electromagnetic Problems

Abstract

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