Electromagnetic chaos: A tutorial

ICEAA 2003 - International Conference on Electromagnetics in Advanced Applications

Volumn , Issue , 2003, Pages 511-514

  Pinto, I M ^a  

^a UNIVERSITY OF SANNIO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX ENVIRONMENTS; DETERMINISTIC CHAOS; ELECTROMAGNETICS; FULL WAVES;

WAVE PROPAGATION;

ELECTROMAGNETISM;

EID: 14144252967     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (46)

1. H. Poincare, Les Methodes Nouvelles de la Mecanique Celeste, Paris: Gauthier-Villars, 1892.
2. E. Ott, Chaos in Dynamical Systems, Cambridge: Cambridge Univ. Press, 1993.
3. T. Matsumoto, L.O. Chua, S. Tanaka, "Simplest Chaotic Nonautonomous Circuit", Phys. Rev. A30, 1155, 1984.
4. T. Matsumoto, L.O. Chua, M. Komuro, "The Double Scroll", IEEE trans. CAS-32, 797, 1985; ibid., CAS-33, 828, 1986.
5. K. Ikeda, H.Daido, O.Akimoto, "OpticalTurbulence: Chaotic Behaviour of Transmitted Light from a Ring Cavity", Phys. Rev. Lett., 45, 709, 1980.
6. V. Pierro, I.M. Pinto, "Radiation Pressure Induced Chaos in Multipendular Fabry Perot Resonators", Phys. Lett. A185, 14 , 1994; ibid. A193, 498, 1994.
7. R. BlÄumel, "Genuine Electromagnetic Wave Chaos", Phys. Rev. E51, 5520, 1995.
8. C. Gmachl et al., "High Power Directional Emission from Micro Lasers with Chaotic Resonators", Science, 280, 1556, 1998.
9. G. Castaldi et al., "Ray Chaos for New Smart Materials", Atti Fondaz. Giorgio Ronchi, LVIII, 477, 2003.
10. S.W. McDonald, A.N. Kaufman, "Wave Chaos in the Stadium: Statistical Properties of Short-Wave Solutions of Helmholtz Equation", Phys. Rev. A37, 3067, 1988.
11. P. Gaspard, S.A. Rice, "Scattering from a Classically Chaotic Repellor I-III", J. Chem. Phys., 90, 2225, 2242, 2255, 1989.
12. P. Seba, "Wave Chaos in Singular Quantum Billiards", Phys. Rev. Lett., 64, 1855, 1990.
13. M.V. Berry, "Quantum Chaology", Proc. Roy. Soc. (London), A413, 183, 1987.
14. M.V. Berry, "Semiclassical Theory of Spectral Rigidity", Proc. Roy. Soc. (London), A400, 229, 1985.
15. M.V. Berry, "Regular and Irregular Semiclassical Wave Functions", J. Phys. A10, 2083, 1977.
16. G. Blum, S. Gnutzmann, U. Smilansky, "Nodal Domain Statistics: a Criterion for Quantum Chaos", Phys. Rev. Lett., 88, 114101, 2002.
17. A. Wirzba, "Quantum Mechanics and Semiclassics of Hyperbolic n-Disk Scattering Systems", Phys. Rep. 309, 1, 1999.
18. T. Kottos et al.,"Chaotic Scattering of Microwaves", Radio Science 34, 747, 1999.
19. A. Peres, "Stability of Quantum Motion in Chaotic and Regular Systems", Phys. Rev. A30, 1610, 1984.
20. R.A. Jalabert, H.M. Pastawski, "Environment-Independent Decoherence Rate in Classically Chaotic Systems", Phys. Rev Lett. 86, 2490, 2001.
21. M.L. Mehta, Random Matrices, New York: Academic, 1990.
22. R.R. Parwani, Complexity, webbook available on line at http://sta.science.nu.edu/~parwani/complexity.
23. T.H. Lehman, "A Statistical Theory of Electromagnetics in Complex Cavities", IN-493, Phillips Labs., Kirtland, 1993.
24. V.A. Borovikov, B. Ye. Kinber, Geometrical Theory of Diraction, London: IEE Press, 1994.
25. L.B. Felsen, "Progressing and oscillatory waves for Hybrid Synthesis of Source Excited Propagation and Diraction", IEEE Trans. Antennas Propagat., AP-32, 775, 1984.
26. G. P. Berman, et al., "Quantum Chaos in the Wigner Representation", Chaos, 1, 220,1991.
27. K. Takahashi, "Wigner and Husimi Functions in Quantum Mechanics", J. Phys. Soc. Jpn. 55, 762, 1986.
28. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics, New York: Springer, 1991.
29. A. Abdi, H. Hashemi, S. Nader-Esfahani, "On the PDF of a Sum of Random Vectors", IEEE Trans. Comm., 48, 7, 2000.
30. E.J. Heller, "Bound State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits", Phys. Rev. Lett., 53, 1515, 1984.
31. P. O'Connor, J.N. Gehlen, E.J. Heller, "Properties of Random Superpositions of Plane Waves" Phys. Rev. Lett., 58, 1296, 1987.
32. L. Kaplan, "Scar and Antiscar Quantum Effects in Open Chaotic Systems", Phys. Rev. E59, 5325, 1999.
33. T.M. Antonsen et al., "Statistics of Wave-Function Scars", Phys. Rev. E51, 111, 1995.
34. B. Eckhardt et al., "Correlations of Electromagnetic Fields in Chaotic Cavities", Europhys. Lett. 46, 134, 1999.
35. H.J. Stockmann et al."Microwave Studies of Chaotic Billiards and Disordered Systems", Physica E9, 571, 2001
36. D.A. Hill, "Plane-wave Integral Representation for Fields in Reverberation Chambers", IEEE Trans. Electromagn. Compat., EMC-40, 209, 1998.
37. D.A. Hill, "Electromagnetic Theory of Reverberation Chambers", NIST Tech. Note 1506,1998.
38. D.A. Hill, J.M. Ladbury, "Spatial-Correlation Functions of Fields and Energy Density in a Reverberation Chamber", IEEE Trans. Electromagn. COmpat., EMC-44, 95, 2002.
39. P.W. Anderson, "Absence of Diusion in Certain Random Lattices", Phys. Rev., 109, 1492, 1958.
40. A. Figotin, A. Klein, "Localization of Classical Waves II: Electromagnetic Waves", Commun. Math. Phys., 184, 411, 1997.
41. G. Samelsohn, R. Mazar, "Asymptotic Analysis of Classical Wave Localization in Multiple Scattering Random Media", Phys. Rev. E56, 6095, 1997
42. W. Ken Kang-Hsin, Y. Zhen, "A Simulation Study of Localization in EM Waves in 2D Random Dipolar Systems", arXiv:condmat/0302596, 2003.
43. B.A. van Tiggelen, "Localization ofWaves", in Diuse Waves in Complex Media, J.P. Fouque, Ed., Amsterdam: Kluwer, 1999.
44. A. Kaneko, D. Uema, T. Ohtsuki, "Quantum Percolation and the Anderson Transition", J. Phys. Soc. Jpn., 72, 141, 2003.
45. D. Stauer, A. Aharony, Percolation Theory, London: Taylor & Francis, 1994.
46. G. Franceschetti, S. Marano, F. Palmieri, "Percolation Model for Urban Area Propagation: Results and Open Problems", Proc. 2002 AP-S Int.l Symp. (1), 224, 2002.