volume | PIER Journals

2005-06-25

Algebraic Function Approximation to Eigenvalue Problems in Lossless Metallic Waveguides (Revisited)

Namik Yener

Prof. Namik Yener

Technology Faculty, Biomedical Engineering Dept.

Kocaeli University

Turkey

Homepage

Progress In Electromagnetics Research, Vol. 55, 147-174, 2005

doi:10.2528/PIER05010801 | Google Scholar

Abstract

The problem of studying modal characteristics of metallic waveguides filled with lossless inhomogeneous and/or anisotropic media, is one of studying properties of the propagation constant of the guiding structure. It is shown that modal behavior in the neighborhood of critical frequencies such as cutoff frequencies and frequencies marking the onset of complex wave mode intervals, can be modeled through approximation of the propagation constant by a root of an algebraic equation. The particular form of the algebraic function approximating the propagation constant is discussed in the neighborhood of a singularity. A numerical example is included to stress the viability of the technique.

Download Full Article (279) View Full Article volume

Citation

Copy Export

Namik Yener, "Algebraic Function Approximation to Eigenvalue Problems in Lossless Metallic Waveguides (Revisited)," Progress In Electromagnetics Research, Vol. 55, 147-174, 2005.
doi:10.2528/PIER05010801

References

1. Yener, N., "Application of algebraic function theory to backward wave problems," Jour. of Electromagnetic Waves and Applications, Vol. 18, No. 10, 1399-1417, 2004.
doi:10.1163/1569393042954965 Google Scholar

2. Mrozowski, M., Guided Electromagnetic Waves, Research Studies Press Ltd., 1997.

3. Yener, N., "Necessary and sufficient conditions for the existence of backward waves in metallic waveguides," Jour. of Electromagnetic Waves and Applications, Vol. 17, No. 12, 1713-1722, 2003.
doi:10.1163/156939303322760236 Google Scholar

4. Noble, D. F., "Circuit properties of dispersive coupled transmission lines and waveguides," Ph.D. dissertation, 1971. Google Scholar

5. Silbergleit, A. S. and Y. I. Kopilevich, Spectral Theory of Guided Waves, Inst. of Physics Publishing, 1996.

6. Clarricoats, P. J. B., "Circular waveguide backward wave structures," Proc. Inst. Elec. Eng., Vol. 110, 261-270, 1963. Google Scholar

7. Knopp, K., Theory of Functions, Part II, 1996.

8. Yener, N., "On the existence of backward waves in metallic waveguides," Jour. of Electromagnetic Waves and Applications, Vol. 18, No. 6, 769-779, 2004.
doi:10.1163/156939304323105853 Google Scholar

9. Lancaster, P., "On eigenvalues of matrices dependent on a parameter," Numer. Math., Vol. 6, 377-387, 1964.
doi:10.1007/BF01386087 Google Scholar

10. Kato, T., Perturbation Theory for Linear Operators, Springer Verlag, 1980.