Vol. 18
Latest Volume
All Volumes
PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
Electrodynamics, Topsy-Turvy Special Relativity, and Generalized Minkowski Constitutive Relations for Linear and Nonlinear Systems
By
, Vol. 18, 261-284, 1998
Abstract
Citation
Dan Censor, "Electrodynamics, Topsy-Turvy Special Relativity, and Generalized Minkowski Constitutive Relations for Linear and Nonlinear Systems," , Vol. 18, 261-284, 1998.
doi:10.2528/PIER97071000
References

1. Einstein, A., "Zur Elektrodynamik bewegter Korper," Ann. Phys. (Lpz.), Vol. 17, 891-921, 1905; English translation: ``On the electrodynamics of moving bodies," The Principle of Relativity, Dover.
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.
doi:10.1002/andp.19043190703

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