Connection Formulae between Ellipsoidal and Spherical Harmonics with Applications to Fluid Dynamics and Electromagnetic Scattering
Joint Authors
Doschoris, Michael
Vafeas, Panayiotis
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-02
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The environment of the ellipsoidal system, significantly more complex than the spherical one, provides the necessary settings for tackling boundary value problems in anisotropic space.
However, the theory of Lamé functions and ellipsoidal harmonics affiliated with the ellipsoidal system is rather complicated.
A turning point would reside in the existence of expressions interlacing these two different systems.
Still, there is no simple way, if at all, to bridge the gap.
The present paper addresses this issue.
We provide explicit formulas of specific ellipsoidal harmonics expressed in terms of their counterparts in the classical spherical system.
These expressions are then put into practice in the framework of physical applications.
American Psychological Association (APA)
Doschoris, Michael& Vafeas, Panayiotis. 2015. Connection Formulae between Ellipsoidal and Spherical Harmonics with Applications to Fluid Dynamics and Electromagnetic Scattering. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052995
Modern Language Association (MLA)
Doschoris, Michael& Vafeas, Panayiotis. Connection Formulae between Ellipsoidal and Spherical Harmonics with Applications to Fluid Dynamics and Electromagnetic Scattering. Advances in Mathematical Physics No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1052995
American Medical Association (AMA)
Doschoris, Michael& Vafeas, Panayiotis. Connection Formulae between Ellipsoidal and Spherical Harmonics with Applications to Fluid Dynamics and Electromagnetic Scattering. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052995
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052995