volume | PIER Journals

2006-07-02

Wave Propagation and Dispersion Characteristics for a Nonreciprocal Electrically Gyrotropic Medium

Abdullah Eroglu,

Prof. Abdullah Eroglu

Department of Engineering

Indiana University --- Purdue University

USA

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Jay Kyoon Lee

Dr. Jay Kyoon Lee

Department of Electrical Engineering and Computer Science

Syracuse University

USA

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Progress In Electromagnetics Research, Vol. 62, 237-260, 2006

doi:10.2528/PIER06040901

Abstract

The general dispersion relation for a nonreciprocal electrically gyrotropic or a gyroelectric medium is derived in two distinct forms by using three different methods. One of them is a new method which can be used when the stratification of the layers is in the z-direction. The wave numbers corresponding to each dispersion relation are obtained in closed form. It is shown that there exist two types of waves, type I and type II, in a gyroelectric medium. The wave propagation is investigated and the polarization of the waves, resonances and cut off conditions are obtained for the principle waves. The general wave propagation regions are identified using resonances and cut off conditions. These regions are then used to construct the Clemmow-Mually-Allis (CMA) diagram. The conditions showing the frequency bands for which wave can propagate in each region are tabulated for the first time. The results presented in this paper can be used in the development of nonreciprocal devices and in ionospheric problems including radiation and scattering applications.

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Abdullah Eroglu, and Jay Kyoon Lee, "Wave Propagation and Dispersion Characteristics for a Nonreciprocal Electrically Gyrotropic Medium," Progress In Electromagnetics Research, Vol. 62, 237-260, 2006.
doi:10.2528/PIER06040901

References

1. Barlow, H. E. M. and R. Koike, "Microwave propagation in a waveguide containing a semiconductor," Proc. IEE Microwaves, Vol. 110, No. 12, 2177-2181, 1963.

2. Arnold, R. M. and F. J. Rosenbaum, "Nonreciprocal wave propagation in a semiconductor loaded waveguides in the presence of a transverse magnetic field," IEEE Trans. Microwave Theory Tech., Vol. MTT-19, No. 1, 57-65, 1971.
doi:10.1109/TMTT.1971.1127445

3. Obunai, T. and K. Hakamada, "Slow surface wave propagation in an azimuthally magnetized millimeter wave solid plasma coaxial waveguide," Jpn. J. Appl. Phys., Vol. 23, 1032-1037, 1984.
doi:10.1143/JJAP.23.1032

4. Mesa, F. and M. Horno, "Nonreciprocal propagation characteristics of transversely magnetized metal insulator semiconductor coplanar waveguides," Electron. Lett., Vol. 28, No. 6, 1246-1248, 1992.

5. Sloan, R., C. K. Young, and, and L. E. Davis, "Broadband theoretical gyroelectric junction circulator tracking behaviour at 77K," IEEE Trans. Microwave Theory Tech., Vol. 44, No. 12, 2655-2660, 1996.
doi:10.1109/22.554617

6. Mok, V. H. and L. E. Davis, "Nonreciprocal wave propagation in multilayer semiconductor films at frequencies up to 200 GHz," IEEE Trans. Microwave Theory Tech., Vol. 51, No. 12, 2453-2460, 2003.
doi:10.1109/TMTT.2003.820167

7. Allis, W. P., S. J. Buchsbaum, and A. Bers, Waves in Anisotropic Plasmas, MIT Press, 1963.

8. Allis, W. P., "Propagation of waves in a plasma in a magnetic field," IRE Trans. Microwave Theory Tech., Vol. MTT-9, No. 1, 79-82, 1961.
doi:10.1109/TMTT.1961.1125267

9. Chen, H. C., Theory of Electromagnetic Waves: Coordinate Free Approach, Chapter 7, 1983.

10. Bunkin, F. V., "On radiation in anisotropic media," Sov. Phys. JETP, Vol. 5, No. 9, 277-283, 1957.

11. Ishimaru, A., Electromagnetic Wave Propagation, Radiation, and Scattering, , Prentice Hall, 1996.

12. Weil, H. and D. Walsh, "Radiation resistance of an electric dipole in a magnetoionic medium," IEEE Trans. Antennas Propa., Vol. AP-12, No. 5, 297-304, 1964.
doi:10.1109/TAP.1964.1138203