By Malcolm M. Bibby, Andrew F. Peterson
This lecture offers a contemporary procedure for the computation of Mathieu features. those capabilities locate software in boundary worth research corresponding to electromagnetic scattering from elliptic cylinders and flat strips, in addition to the analogous acoustic and optical difficulties, and plenty of different functions in technological know-how and engineering. The authors overview the normal procedure used for those capabilities, convey its barriers, and supply another "tuned" procedure allowing superior accuracy and convergence. The functionality of this technique is investigated for quite a lot of parameters and computer precision. Examples from electromagnetic scattering are supplied for representation and to teach the convergence of the common sequence that hire Mathieu capabilities for boundary price analysis.
Table of Contents: creation / Mathieu capabilities / saw Accuracy utilizing conventional and Tuned equipment / suggested set of rules for Mathieu functionality Computation / Electromagnetic Scattering from undertaking Elliptic Cylinders / Electromagnetic Scattering from an unlimited carrying out Strip / References / Authors' Biographies