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Progress In Electromagnetics Research
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Electrodynamics, Topsy-Turvy Special Relativity, and Generalized Minkowski Constitutive Relations for Linear and Nonlinear Systems

By D. Censor

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Citation: (See works that cites this article)
D. Censor, "Electrodynamics, Topsy-Turvy Special Relativity, and Generalized Minkowski Constitutive Relations for Linear and Nonlinear Systems," Progress In Electromagnetics Research, Vol. 18, 261-284, 1998.
doi:10.2528/PIER97071000
http://www.jpier.org/PIER/pier.php?paper=970710

References:
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doi:10.1002/andp.19053221004

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

3. Kong, J. A., Electromagnetic Wave Theory, Wiley-Interscience, New York, 1986.

4. Berkson, W., Fields of Force, Wiley, 1974.

5. Censor, D., "Application-oriented relativistic electrodynamics," Progress In Electromagnetic Research, Vol. 4, 119-158, 1991.

6. Abraham, M., "Zur Theorie der Strahlung und des Strahlungdruckes," Ann. Phys. (Lpz.), Vol. 14, 236-287, 1904.
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7. Pauli, W., Theory of Relativity, Pergamon, 1958, also Dover Publications.

8. Censor, D., "Dispersion equations in moving media," Proceedings of the IEEE, Vol. 68, 528-529, 1980.
doi:10.1109/PROC.1980.11677

9. Felsen, L. B. and N. Marcuvitz, Radiation and Scattering of Waves, Prentice-Hall, 1973.

10. Censor, D., "`Waves', `objects' and special relativity," Journal of Electromagnetic Waves and Applications, Vol. 5, 1365-1391, 1991.
doi:10.1163/156939391X00897

11. Sommerfeld, A., Electrodynamics, Dover, 1964.

12. Minkowski, H., "Die Grundgleichungen fur die elektromagnetischen Vorgange in bewegten Korpern," Nachrichten Ges. Wiss. Gottingen, 53-116, 1908.

13. Post, E. J., Formal Structure of Electromagnetics, North-Holland, 1962.

14. Hebenstreit, H., "Constitutive relations for moving plasmas," Z. Naturforsch. A, Vol. 34a, 147-154, 1979.

15. Hebenstreit, H., "Calculation of covariant dispersion equations for moving plasmas," Z. Naturforsch. A, Vol. 34a, 155-162, 1979.

16. Hebenstreit, H. and K. Suchy, "Polarization relations and dispersion equations for anisotropic moving media," Z. Naturforsch. A, Vol. 34a, 1147-1157, 1979.

17. Censor, D., "Ray tracing in weakly nonlinear moving media," J. of Plasma Physics, Vol. 16, 415-426, 1976.
doi:10.1017/S0022377800020316

18. Censor, D., I. Gurwich, and M. Sonnenschein, "Volterra's functionals series and wave propagation in weakly nonlinear medium: The problematics of first-principles physical modeling," Volterra Equations and Applications (Proceedings of The Volterra Centennial Symposium), The University of Texas at Arlington, C. Corduneanu and I. W. Sandberg, editors, to be published by Marcell Dekker, Inc., New York, May 23-25, 1996.

19. Censor, D., "Ray theoretic analysis of spatial and temporal selffocusing in general weakly nonlinear medium," Physical Review A, Vol. 16, 1673-1677, 1977.
doi:10.1103/PhysRevA.16.1673

20. Censor, D., "Ray propagation and self-focusing in nonlinear absorbing medium," Physical Review A, Vol. 18, 2614-2617, 1978.
doi:10.1103/PhysRevA.18.2614

21. Censor, D., "Scattering by weakly nonlinear objects," SIAM J. of Applied Mathematics, Vol. 43, 1400-1417, 1983.
doi:10.1137/0143093

22. Censor, D., "Waveguide and cavity oscillations in the presence of nonlinear medium," IEEE Transactions on Microwaves Theory and Techniques, Vol. 33, 296-301, 1985.
doi:10.1109/TMTT.1985.1133075

23. Gurwich, I. and D. Censor, "Steady state electromagnetic wave propagation in weakly nonlinear medium," IEEE Transactions on Magnetics, Vol. 30, 3192-3195, 1994.
doi:10.1109/20.312616

24. Gurwich, I. and D. Censor, "Existence problems in steady state theory for electromagnetic waves in weakly nonlinear medium," Journal of Electromagnetic Waves and Applications, Vol. 9, 1115-1139, 1995.

25. Gurwich, I. and D. Censor, "On the propagation of multi-band spectrum electromagnetic waves in weakly nonlinear medium," Journal of Electromagnetic Waves and Applications, Vol. 10, 889-907, 1996.
doi:10.1163/156939396X00018

26. Hasan, M. A. and P. L. E. Uslenghi, "Electromagnetic scattering from nonlinear anisotropic cylinders --- Part I: Fundamental frequency," IEEE Trans. on Antennas and Propagation, Vol. 38, 523-533, 1990.
doi:10.1109/8.52271

27. Hasan, M. A. and P. L. E. Uslenghi, "Higher-order harmonics in electromagnetic scattering from a nonlinear anisotropic cylinder," Electromagnetics, Vol. 11, 377-391, 1991.
doi:10.1080/02726349108908287

28. Censor, D. and Y. Ben-Shimol, "Wave propagation in weakly nonlinear bi-anisotropic and bi-isotropic medium," Journal of Electromagnetic Waves and Applications, Vol. 11, 1763-1779, 1997.
doi:10.1163/156939397X00503

29. Sonnenschein, M. and D. Censor, "Simulation of Hamiltonian light beam propagation in nonlinear media," JOSA, Journal of the Optical Society of America, B, to appear.

30. Meier, B. and A. Penzkofer, "Determination of nonlinear refractive indices by external self-focusing," Appl. Phys., Vol. B49, 513-519, 1989.
doi:10.1007/BF00324950

31. Censor, D., "Application-oriented ray theory," Int. J. Elect. Enging. Educ., Vol. 15, 215-223, 1978.
doi:10.1177/002072097801500305

32. Molcho, J. and D. Censor, "A simple derivation and a classroom example for Hamiltonian ray propagation," American J. of Physics, Vol. 54, 351-353, 1986.
doi:10.1119/1.14621


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