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

L. SEVGİ

Article Details

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

Authors:

L. SEVGİ

Publisher:

TUBITAK

Journal:

Turkish Journal of Electrical Engineering and Computer Science 2006 Vol.14 Issue 2, pp.293-311

Document Type:

Article

Publication Date:

1/2006

Document Language:

Turkish

Document ID (Org No.):

2000744157

Frequency:

Bimonthly

eISSN:

1303-6203

pISSN:

1300-0632

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 (eigenvalue) and source-driven (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 (eigenfunctions) of the problem  geometry and extraction of the eigenvalues of a problem from  propagation characteristics (Green's function) on a canonical problem;  a homogeneously filled parallel plate waveguide with non-penetrable  boundaries.

 

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 (eigenvalue) and source-driven (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 (eigenfunctions) of the problem  geometry and extraction of the eigenvalues of a problem from  propagation characteristics (Green's function) on a canonical problem;  a homogeneously filled parallel plate waveguide with non-penetrable  boundaries.

Article Details

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

Authors: L. SEVGİ

Publisher: TUBITAK

Journal: Turkish Journal of Electrical Engineering and Computer Science 2006 Vol.14 Issue 2, pp.293-311

Document Type: Article

Publication Date: 1/2006

Document Language: Turkish

Document ID (Org No.): 2000744157

Frequency: Bimonthly

eISSN: 1303-6203

pISSN: 1300-0632

Issues

Authors:

L. SEVGİ

Publisher:

TUBITAK

Journal:

Turkish Journal of Electrical Engineering and Computer Science 2006 Vol.14 Issue 2, pp.293-311

Document Type:

Article

Publication Date:

1/2006

Document Language:

Turkish

Document ID (Org No.):

2000744157

Frequency:

Bimonthly

eISSN:

1303-6203

pISSN:

1300-0632