PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 35 > pp. 217-250

FIRST-ORDER MATERIAL EFFECTS IN GYROMAGNETIC SYSTEMS

By D. Censor and M. D. Fox

Full Article PDF (216 KB)

Abstract:
In an attempt to bridge the gap between theory and applications, this paper brings together a few diverse subjects, and presents them as much as possible in self-contained form. A general perturbation method is developed for calculating the first order effects in quite general bi-anisotropic materials. The advantage of this approach is the feasibility of generating solutions of the Maxwell equations for the complicated media, in terms of well-known solutions for simple media. Specifically, the present study was motivated by a need to provide a theoretical framework for polarimetric glucometry methods, presently under investigation, in the hope of gaining better understanding of the systems and their limitations, as well as suggesting new configurations for acquiring better data. To that end, we chose to analyze gyromagnetic effects in lossless magneto-optical systems. Some representative examples have been chosen, and the obtained results, for various situations involving plane and spherical waves, are discussed. It is shown that the specific configuration of the magnetic fields affect the solutions. Generally speaking, the magnetic fields create new multipoles in the resultant wave fields. Another interesting feature of the present approach is the fact that we get the elementary Faraday rotation effect without resorting to a pair of two oppositely oriented circularly polarized waves, as usually done. Consequently we are able to discuss explicitly complicated situations involving non-planar waves and various external magnetic fields. The penalty is of course the restricted validity of the model to small non-isotropic effects.

Citation:
D. Censor and M. D. Fox, "First-Order Material Effects in Gyromagnetic Systems," Progress In Electromagnetics Research, Vol. 35, 217-250, 2002.
doi:10.2528/PIER00040701
http://www.jpier.org/PIER/pier.php?paper=0004071

References:
1. Papas, C. H., Theory of Electromagnetic Wave Propagation, McGraw-Hill, 1965.

2. Tai, C. T., Dyadic Green’s Functions in Electromagnetic Theory, IEP (Intext), 1971.

3. Levine, H. and J. Schwinger, "On the theory of electromagnetic wave diffraction by an aperture in an infinite plane conducting screen," Communications on Pure and Applied Mathematics, Vol. 3, 355-391, 1950.
doi:10.1002/cpa.3160030403

4. Lindell, I. V., Methods for Electromagnetic Field Analysis, Oxford, 1992.

5. Censor, D. and D. M. LeVine, "The Doppler effect — now you see it, now you don’t," Journal of Mathematical Physics, Vol. 25, 309-316, 1984.
doi:10.1063/1.526151

6. Censor, D., "Interaction of electromagnetic waves with irrotational fluids," Journal of the Franklin Institute, Vol. 293, 117-129, 1972.
doi:10.1016/0016-0032(72)90151-2

7. Young, D. and Y. Pu, "Magnetooptics," The Electrical Engineering Handbook, 1265-1275, 2nd ed., R. C. Dorf (Ed.).

8. King, R. W. P. and G. S. Smith, Antennas in Matter, MIT Press, 1981.

9. Balanis, C. A., Advanced Engineering Electromagnetis, Wiley, 1989.

10. von Hippel, A., Dielectric Materials and Applications, Artech House, 1995.

11. Lindell, I. V., A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-Isotropic Media, Artech House, 1994.

12. Saleh, B. E. A. and M. C. Teich, Fundamentals of Photonics, Section 6.4 “Optical Activity and Faraday Effect,” Wiley, 1991.
doi:10.1002/0471213748

13. Kelso, J. M., Radio Ray Propagation in the Ionosphere, McGraw- Hill, 1964.

14. Lowry, T. M., Optical Rotatory Power, Longmans, 1935.

15. NRC, International Critical Tables of Numerical Data, Physics, Chemistry and Technology, E. W. Washburn (Ed.), Vol. 6, 425– 434, McGraw-Hill, 1929.

16. Wolfram Research, Mathematica, Version 4, 1999.

17. Censor, D., "Constitutive relations in inhomogeneous systems and the particle-field conundrum," JEMWA-Journal of Electromagnetic Waves and Applications, Vol. 14, 2000.
doi:10.1163/156939300X01201

18. Jang, S. and M. D. Fox, "Optical sensor using the Magnetic Optical Rotary Effect (MORE) of glucose," LEOS Newsletter, 28-30, April 1998.

19. Stratton, J. A., Electromagnetic Theory, McGraw-Hill, 1941.

20. Morse, P. M. and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, 1953.

21. Twersky, V., "Multiple scattering of electromagnetic waves by arbitrary configurations," Journal of Mathematical Physics, Vol. 8, 589-610, 1967.
doi:10.1063/1.1705237

22. Twersky, V., "Multiple scattering by arbitrary configurations in three dimensions," Journal of Mathematical Physics, Vol. 3, 83-91, 1962.
doi:10.1063/1.1703791

23. Bostom, A., G. Kristensson, and S. Strom, "Transformation properties of plane, spherical and cylindrical scalar and vector wave functions," Field Representations and Introduction to Scattering, V. V. Vardan, A. Lakhtakia, and V. K. Varadan (Eds.), Ch. 4, 165–210, North Holland, 1991.


© Copyright 2014 EMW Publishing. All Rights Reserved