volume | PIER Journals

2004-06-08

Inhomogeneous Magnetic Media: Wave Propagation and Magnetic Permeability Reconstruction

Konstantinos Baganas

Dr. Konstantinos Baganas

Department of Materials Science and Engineering

University of Ioannina

Greece

Homepage

, Vol. 46, 313-333, 2004

doi:10.2528/PIER03101903

Abstract

In this paper we study the electromagnetic (EM) wave propagation in a perfect magnetic medium with continuously varying magnetic permeability m(z) in one direction. We consider the inhomogeneity to be arbitrary and described by an infinite power series of z and use the Frobenious method to solve the governing differential equation of the problem in the frequency domain. We also give special attention to the first cut-off frequency of the main mode TM₁₁ and we propose a good estimation for it by means of the mean value of the magnetic permeability profile. The results from the mathematical analysis are applied to solve the direct problem of wave propagation in a system of three waveguides having two homogeneous filling materials and one that exhibits such inhomogeneous characteristics. We finally confront the inverse problem of magnetic permeability reconstruction by handling simulation data and a genetic optimization algorithm.

Citation

Copy Export

Konstantinos Baganas, "Inhomogeneous Magnetic Media: Wave Propagation and Magnetic Permeability Reconstruction," , Vol. 46, 313-333, 2004.
doi:10.2528/PIER03101903

References

1. Pavlov, D. A. and M. S. Zhdanov, "Anomalous conductivity and magnetic permeability effects in time domain electromagnetic data," 68th Ann. Internat. Mtg., 440-443, 1998.

2. Pavlov, D. A. and M. S. Zhdanov, "Analysis and interpretation of anomalous conductivity and magnetic permeability effects in time domain electromagnetic, data. Part I: Numerical modeling," Journal of Applied Geophysics, Vol. 46, No. 4, 217-233, 2001.
doi:10.1016/S0926-9851(01)00040-4

3. Tartaras, E., M. S. Zhdanov, K. Wada, A. Saito, and T. Hara, "Fast imaging of TDEM data based on S-inversion," Journal of Applied Geophysics, Vol. 43, No. 1, 15-32, 2000.
doi:10.1016/S0926-9851(99)00030-0

4. Cheryauka, A. B. and M. S. Zhdanov, "Nonlinear approximations for an EM scattering problem in a medium with joint electrical and magnetic inhomogeneities," Submitted to Radio Science..

5. Baganas, K., A. Charalambopoulos, and A. Kehagias, "Inhomogeneous dielectric media: Wave propagation and dielectric permittivity reconstruction," SIAM, Vol. 15, No. 10, 1373-1399, 2001.

6. Baganas, K., "Inhomogeneous dielectric media: Wave propagation and dielectric permittivity reconstruction in the case of a rectangular waveguide," SIAM, Vol. 16, No. 10, 1371-1392, 2002.

7. Balanis, K., Advanced Engineering Electromagnetics, J. Willey & Sons, 1998.

8. Storn, R. and K. Prise, Differential Evolution â€” A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces, Vol. 11, 341-359, Kluwer Academic Publishers, 1997.

9. Chew, W. C., Waves and Fields in Inhomogeneous Media, IEEE Press, 1995.

10. Yashina, N. P., "Reconstruction of various materials' electromagnetic characteristics from the data of wave scattering in a waveguide: analytical regularization," 3rd Intern. ISAAC Congr., 2001.