Sturm-Liouville Equation: The Bridge between Eigenvalue and Green`s Function Problems

Authors : L SEVGİ

Pages : 293-311

View : 17 | Download : 8

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :This article is intended as an educational aid and discusses guided wave propagation problems that are modeled via the Sturm-Liouville equation in electromagnetics. The bridge between source-free insert ignore into journalissuearticles values(eigenvalue); and source-driven insert ignore into journalissuearticles values(Green`s function); problems that are represented by the same Sturm-Liouville equation is emphasized. The presentation focuses on representation of an arbitrary source from the features insert ignore into journalissuearticles values(eigenfunctions); of the problem geometry and extraction of the eigenvalues of a problem from propagation characteristics insert ignore into journalissuearticles values(Green`s function); on a canonical problem; a homogeneously filled parallel plate waveguide with non-penetrable boundaries
Keywords : Turk J Elec Eng Comp Sci, 14, 2006, 293 311 Turk J Elec Eng Comp Sci, vol 14, iss 2