Progress In Electromagnetics Research
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On the Pulse Velocity in Absorbing and Nonlinear Media and Parallels with the Quantum Mechanics

By I. Gurwich

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I. Gurwich, "On the Pulse Velocity in Absorbing and Nonlinear Media and Parallels with the Quantum Mechanics," Progress In Electromagnetics Research, Vol. 33, 69-96, 2001.

1. Rayleigh, L., The Theory of the Sound, 2nd Ed., Vol. 1, Dover, New York, 1945.

2. Suchy, K., "The velocity of wave packet in an anisotropic absorbing," J. Plasma Phys., Vol. 8, 33-51, 1972.

3. Bennett, J. A., "Complex rays for radio waves in an absorbing ionosphere," Proceedings IEEE, Vol. 62, 1577-1585, 1974.

4. Lipson, S. G. and H. Lipson, Optical Physics, Cambridge University Press, London, 1969.

5. Born, M. and E.Wolf, Principles of Optics, Pergamon Press Ltd., Oxford, 1965.

6. Sommerfeld, A., "About the propagation of light in dispersive media, in L. Brillouin," Wave Propagation and Group Velocity, 1960.

7. Loudon, R., "The propagation of electromagnetic energy through an absorbing dielectric," J. Physics A, Vol. 3, 233-245, 1970.

8. Garrett, C. G. B. and D. E. McCumber, "Propagation of a Gaussian light pulse through an anomalous dispersion medium," Phys. Review A, Vol. 1, 305-313, 1970.

9. Chu, S. and S. Wong, "Linear pulse propagation in an absorbingmedium," Phys. Rev. Letters, Vol. 48, 738-741, 1982.

10. Censor, D. and J. J. Gavan, "Wave packets, group velocity, and rays in lossy media revisited ," IEEE Trans. Electromag. Compat., Vol. 31, 262-272, 1989.

11. Sonnenschein, E., I. Rutkevich, and D. Censor, "Wave packets, rays, and the role of real group velocity in absorbing media," Physical Review E, Vol. 57, 1005-1017, 1998.

12. Suchy, K., "Real Hamilton equations of geometrical optics for media with moderate absorption," Radio Science, Vol. 16, 1179-1182, 1981.

13. Censor, D., "Alternative methods for ray propagation in absorbing," Proc. of IEEE, Vol. 69, 750-751, 1981.

14. Suchy, K., "The propagation of wave packets in inhomogeneous anisotropic media with moderate absorption," Proc. of IEEE, Vol. 62, 1571-1577, 1974.

15. Censor, D. and K. Suchy, "Wave packets and ray tracing in lossy media," Proc. URSI Natl. Comm., 617-623, 1975.

16. Censor, D., "Fermat’s principle and real space-time rays in absorbing," J. Phys. A: Math. and Gen., Vol. 10, 1781-1790, 1977.

17. Censor, D., "Fermat’s principle, Hamiltonian ray equations, group velocity and wave packets in absorptive media," Advances in Thermodynamics, Volume 3: Nonequilibrium Theory and Extremum, 1990.

18. Muschietti, L. and C. T. Dum, "Real group velocity in a medium with dissipation," Phys. Fluids B, Vol. 5, 1383-1397, 1993.

19. Bolda, E. L., R. Y. Chiao, and J. Garrison, "Two theorems for the group velocity in dispersive media," Phys. Rev. A, Vol. 48, 3890-3894, 1993.

20. Smith, R. L., "The velocities of light," Am. J. Phys., Vol. 38, 978-984, 1970.

21. Bloch, S. C., "Eighth velocity of light," Am. J. Phys., Vol. 45, 538-549, 1977.

22. Gurwich, I. and D. Censor, "On the propagation of electromagnetic waves with a multi-band spectrum in weakly nonlinear media," J. of Electromag. Waves and Appl. (JEWA), Vol. 10, 889-907, 1996.

23. Gurwich, I. and D. Censor, "Existence problems in steady state theory for electromagnetic waves in weakly nonlinear media," J. of Electromag. Waves and Appl. (JEWA), Vol. 9, 1115-1139, 1995.

24. Stratton, J. A., Electromagnetic Theory, McGraw-Hill, New York and London, 1941.

25. Landau, L. D., E. M. Lifshitz, and L. P. Pitaevskii, Electromagnetics of Continuous Media, Pergamon Press Ltd., Oxford, 1984.

26. Newell, A. C. and J. V. Moloney, Nonlinear Optics, Addison-Wesley Publishing Company, Redwood City, 1992.

27. Censor, D., "Dual approach for wave packets and solitary waves in nonlinear systems," Phys. Rev. A, Vol. 25, 437-447, 1982.

28. Gurwich, I., "A novel approach to the nonlinear propagation of wide light beams," J. of Phys. D: Appl. Phys., Vol. 30, 2183-2190, 1997.

29. Band, Y. B., D. F. Heller, and J. S. Krasinski, "Spectrum of three-wave mixing for multimode fields," Phys. Rev. A, Vol. 40, 4400-4403, 1989.

30. Whitham, G. B., Linear and Nonlinear Waves, Wiley and Sons, New York, 1974.

31. Landau, L. D. and E. M. Lifshitz, "Quantum Mechanics: Non-Relativistic Theory," Pergamon Press Ltd., 1977.

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