Accurate Computation of Mathieu Functions

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 applications Malcolm 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.

• Introduction.- Mathieu Functions.- Observed Accuracy Using Traditional and Tuned Methods.- Recommended Algorithm for Mathieu Function Computation.- Electromagnetic Scattering from Conducting Elliptic Cylinders.- Electromagnetic Scattering from an Infinite Conducting Strip.- References.- Authors' Biographies.