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.
Les mer
This lecture presents a modern approach for the computation of Mathieu functions. The authors review the traditional approach used for these functions, show its limitations, and provide an alternative "tuned" approach enabling improved accuracy and convergence.
Les mer
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.
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Produktdetaljer
ISBN
9783031005893
Publisert
2013-10-15
Utgiver
Vendor
Springer International Publishing AG
Høyde
235 mm
Bredde
191 mm
Aldersnivå
Professional/practitioner, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet