Accurate Computation of Mathieu Functions / by Andrew Peterson, Malcolm Bibby.

Format:

Book

Author/Creator:

Peterson, Andrew., Author.

Bibby, Malcolm., Author.

Series:

Synthesis Lectures on Computational Electromagnetics, 1932-1716

Language:

English

Subjects (All):

Engineering.

Electrical engineering.

Telecommunication.

Technology and Engineering.

Electrical and Electronic Engineering.

Microwaves, RF Engineering and Optical Communications.

Local Subjects:

Technology and Engineering.

Electrical and Electronic Engineering.

Microwaves, RF Engineering and Optical Communications.

Physical Description:

1 online resource (X, 123 p.)

Edition:

1st ed. 2014.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2014.

System Details:

Mode of access: World Wide Web.

Summary:

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.

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.

Notes:

Includes bibliographical references and index.

ISBN:

9783031017179

303101717X