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Accurate Computation of Mathieu Functions [electronic resource] / by Andrew Peterson, Malcolm Bibby.

By: Peterson, Andrew [author.].
Contributor(s): Bibby, Malcolm [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Synthesis Lectures on Computational Electromagnetics: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2014Edition: 1st ed. 2014.Description: X, 123 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783031017179.Subject(s): Engineering | Electrical engineering | Telecommunication | Technology and Engineering | Electrical and Electronic Engineering | Microwaves, RF Engineering and Optical CommunicationsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 620 Online resources: Click here to access online
Contents:
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.
In: Springer Nature eBookSummary: 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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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.

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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