On the pulse velocity in absorbing and nonlinear media and parallels with the quantum mechanics

Progress in Electromagnetics Research

Volumn 33, Issue , 2001, Pages 69-96

  Gurwich, I ^a  

^a Life Science Research Israel Ltd   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL PHYSICS; ELECTROMAGNETIC PULSE PROPAGATION; NON-LINEAR MEDIA; PULSE PROPAGATION; PULSE VELOCITY;

ELECTROMAGNETIC PULSE; LIGHT VELOCITY;

QUANTUM THEORY;

EID: 22144454390     PISSN: 10704698     EISSN: 15598985     Source Type: Journal    
DOI: 10.2528/PIER00071802     Document Type: Article

References (31)

1. Rayleigh, L., The Theory of the Sound, Vol. 1, 2nd ed., Dover, New York, 1945.
2. Suchy, K., The velocity of wave packet in an anisotropic absorbing media, 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, Academic Press Inc., New York and London, 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 absorbing medium, 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 media, 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, Kleinheubach, Fed. Rep. of Germany, 1975.
16. Censor, D., Fermat's principle and real space-time rays in absorbing media, 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 Principles, S. Sieniutycs and P. Salamon (eds.), Taylor & Francis, New York, 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, Spectrumof 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., Oxford, 1977.