EAN: 9783031005893

SYNTHESIS LECTURES ON COMPUTATIONAL ELECTROMAGN...

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.

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