scispace - formally typeset
Search or ask a question
Author

T. E. Raptis

Bio: T. E. Raptis is an academic researcher from National Centre of Scientific Research "Demokritos". The author has contributed to research in topics: Spherical coordinate system & Eigenvalues and eigenvectors. The author has co-authored 1 publications.

Papers
More filters
Proceedings ArticleDOI
01 Jan 2010
TL;DR: In this article, a model for finding eigenvalues and eigenfunctions of PDEs with a certain natural symmetry set based on an analysis of an equivalent transmission line circuit was introduced.
Abstract: We extend a previously introduced model for finding eigenvalues and eigenfunctions of PDEs with a certain natural symmetry set based on an analysis of an equivalent transmission line circuit. This was previously applied with success in the case of optical fibers [8], [9] as well as in the case of a linear Schroedinger equation [10], [11] and recently in the case of spherical symmetry (Ball Lightning) [12]. We explore the interpretation of eigenvalues as resonances of the corresponding transmission line model. We use the generic Beltrami problem of non-constant eigen-vorticity in spherical coordinates as a test bed and we locate the bound states and the eigen-vorticity functions.