Accurate Computation of Mathieu Functions
Seiten
2013
Morgan and Claypool Life Sciences (Verlag)
978-1-62705-085-2 (ISBN)
Morgan and Claypool Life Sciences (Verlag)
978-1-62705-085-2 (ISBN)
- Lieferbar
- Versandkostenfrei
- Auch auf Rechnung
- Artikel merken
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.
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.
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.
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
Erscheint lt. Verlag | 1.8.2014 |
---|---|
Reihe/Serie | Synthesis Lectures on Computational Electromagnetics |
Verlagsort | San Rafael, CA |
Sprache | englisch |
Maße | 191 x 235 mm |
Gewicht | 266 g |
Themenwelt | Technik ► Elektrotechnik / Energietechnik |
ISBN-10 | 1-62705-085-X / 162705085X |
ISBN-13 | 978-1-62705-085-2 / 9781627050852 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
DIN-Normen und Technische Regeln für die Elektroinstallation
Buch | Softcover (2023)
Beuth (Verlag)
CHF 119,95
Kolbenmaschinen - Strömungsmaschinen - Kraftwerke
Buch | Hardcover (2023)
Hanser (Verlag)
CHF 69,95