Accurate Computation of Mathieu Functions

Malcolm Bibby

ISBN 10: 3031005899 / ISBN 13: 9783031005893

Editore: Springer International Publishing, Springer International Publishing Okt 2013, 2013

Riguardo questo articolo

Neuware -This lecture presents a modern approach for the computation of Mathieu functions. These functions find application in boundary value analysis such as electromagnetic scattering from elliptic cylinders and flat strips, as well as the analogous acoustic and optical problems, and many other applications in science and engineering. The authors review the traditional approach used for these functions, show its limitations, and provide an alternative 'tuned' approach enabling improved accuracy and convergence. The performance of this approach is investigated for a wide range of parameters and machine precision. Examples from electromagnetic scattering are provided for illustration and to show the convergence of the typical series that employ Mathieu functions for boundary value analysis.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 136 pp. Englisch.

Codice articolo 9783031005893

Dati bibliografici

• Titolo: Accurate Computation of Mathieu Functions
• Editore: Springer International Publishing, Springer International Publishing Okt 2013
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 3031005899
• ISBN 13: 9783031005893
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 191 A x 8 P (millimetri) 235 millimetri di larghezza per 191 millimetri di altezza per 8 millimetri di profondità
• Peso: 269 grammi

Descrizione articolo

Riassunto

This lecture presents a modern approach for the computation of Mathieu functions. These functions find application in boundary value analysis such as electromagnetic scattering from elliptic cylinders and flat strips, as well as the analogous acoustic and optical problems, and many other applications in science and engineering. The authors review the traditional approach used for these functions, show its limitations, and provide an alternative "tuned" approach enabling improved accuracy and convergence. The performance of this approach is investigated for a wide range of parameters and machine precision. Examples from electromagnetic scattering are provided for illustration and to show the convergence of the typical series that employ Mathieu functions for boundary value analysis.

Informazioni sull?autore

Andrew F. Peterson received the B.S., M.S., and Ph.D. degrees in Electrical Engineering from the University of Illinois, Urbana-Champaign in 1982, 1983, and 1986 respectively. Since 1989, he has been a member of the faculty of the School of Electrical and Computer Engineering at the Georgia Institute of Technology, where he is now Professor and Associate Chair for Faculty Development. He teaches electromagnetic field theory and computational electromagnetics, and conducts research in the development of computational techniques for electromagnetic scattering, microwave devices, and electronic packaging applicationsMalcolm M. Bibby received the B.Eng. and Ph.D. degrees in Electrical Engineering from the University of Liverpool, England in 1962 and 1965, respectively. He also holds an MBA from the University of Chicago, U.S.A. His career includes both engineering and management. He was president of LXE Inc., a manufacturer of wireless data communications products from 1983 to 1994. ?ereafter he was president of NDI, a manufacturer of hardened hand-held computers, for five years. He is currently an Adjunct Professor in ECE at Georgia Tech. His interests lie in the field of high accuracy computational electromagnetics.