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Accurate Computation of Mathieu Functions
About this book
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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Yes, you can access Accurate Computation of Mathieu Functions by Andrew Peterson,Malcolm Bibby in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Electrical Engineering & Telecommunications. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Title Page
- Copyright Page
- 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
- Converting Between Two Common Mathieu Function Conventions
- Tables of Select Eigenvalues and Eigenvectors
- Tables of Select Angular Mathieu Functions
- Tables of Select Radial Mathieu Functions
- References
- Authors' Biographies