Statistics of impedance and scattering matrices in chaotic microwave cavities: Single channel case

Electromagnetics

Volumn 26, Issue 1, 2006, Pages 3-35

  Zheng, Xing ^a   Antonsen Jr , Thomas M ^a   Ott, Edward ^a  

^a University of Maryland   (United States)

Author keywords

Impedance; Scattering matrix; Wave chaos

Indexed keywords

ACOUSTIC IMPEDANCE; CRACKS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC LINES; MATHEMATICAL MODELS; MATRIX ALGEBRA; SCATTERING; WAVEGUIDES;

IMPEDANCE; SCATTERING MATRIX; STATISTICAL PROPERTIES; WAVE CHAOS;

MICROWAVE DEVICES;

EID: 29044432986     PISSN: 02726343     EISSN: 1532527X     Source Type: Journal    
DOI: 10.1080/02726340500214894     Document Type: Article

References (47)

1. Ansoft. http://www.ansoft.com/products/hf/hfss/.
2. Barthélemy, J., O. Legrand, & F. Mortessagne. 2004. Preprint, cond-mat/0401638, submitted to Phys. Rev. E;
3. see also J. Barthélemy, O. Legrand, & F. Mortessgne. Preprint (2004), cond-mat/0402029, submitted to Phys. Rev. Lett.
4. Beenakker, C. W. J., & P. W. Brouwer. 2001. Physica E 9:463.
5. Berry, M. V. 1983. Chaotic behavior of deterministic systems. Les Houches summer school 1981. Amsterdam: North-Holland.
6. Brouwer, P. W. 1995. Phys. Rev. B 51:16878.
7. Doron, E., & U. Smilansky. 1990. Phys. Rev. Lett. 65:3072.
8. Efetov, K. B., & V. N. Prigodin. 1993. Phys. Rev. Lett. 70:1315;
9. see also A. D. Mirlin & Y. V. Fyodorov, Europhys. Lett. 25:669 (1994).
10. Fyodorov, Y. V., & D. V. Savin. 2004. Preprint, cond-mat/0409084;
11. see also D. V. Savin & H.-J. Sommers, Phys. Rev. E 69:035201 (2004);
12. D. V. Savin & H.-J. Sommers, Phys. Rev. E 68:036211 (2003).
13. Fyodorov, Y. V., & H. J. Sommers. 1997. J. Math. Phys. 38:1918.
14. Gutzwiller, M. C. 1990. Chaos in classical and q uantum mechanics. New York: Springer-Verlag.
15. Haake, F. 1991. Quantum signatures of chaos. New York: Springer-Verlag.
16. Heller, E. J. 1984. Phys. Rev. Lett. 53:1515.
17. Hemmady, S., X. Zheng, E. Ott, T. Antonsen, & S. Anlage. 2004. cond-mat/0403225, accepted by Phys. Rev. Lett.
18. Hill, D. A. 1994. IEEE Trans. EMC 36:294;
19. see also Hill, D. A. IEEE Trans. EMC 40:209 (1998);
20. L. Cappetta, M. Feo, V. Fiumara, V. Pierro & I. M. Pinto. 1998. IEEE Trans. EMC 40:185 (1998).
21. Holland, R., & R. St. John. 1994. Conference Proceedings: 10th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, March, Vol. 2, pp. 554-568.
22. Holland, R., & R. St. John. 1999. Statistical electromagnetics. Philadelphia: Taylor & Francis.
23. Jalabert, R. A., A. D. Stone, & Y. Alhassid. 1992. Phys. Rev. Lett. 68:3468.
24. Kogan, E., P. A. Mello, & H. Liqun. 2000. Phys. Rev. E. 61:R17.
25. Kostas, J. G., & B. Boverie. 1991. IEEE Trans. EMC 33:366.
26. Krieger, T. J. 1967. Ann. of Phys. 42:375.
27. Kuhl, U., M. Martínez-Mares, R. A. Méndez-Sánchez, & H.-J. Stöckmann, cond-mat/0407197.
28. Lane, A. M., & R. G. Thomas. 1958. Rev. Mod. Phys. 30:257.
29. Lehman, T. H., & E. K. Miller. 1991. Conference Proceedings: Progress in Electromagnetics Research Symposium, Cambridge, MA, July 1-5, p. 428.
30. Lewenkopf, C. H., & H. A. Weidenmüller. 1991. Ann. of Phys. 212:53.
31. Mahaux, C., & H. A. Weidenmüller. 1969. Shell-model approach to nuclear reactions. Amsterdam: North-Holland.
32. Mehta, M. L. 1991. Random matrices, 2nd ed. New York: Academic Press;
33. see also K. B. Efetov, Adv. Phys. 32:53 (1983).
34. Mello, P. A. 1995. In Mesoscopic quantum physics, ed. E. Akkermans, G. Montambaux, J. L. Pichard, & J. Zinn-Justin. Amsterdam: North Holland.
35. Mello, P. A., P. Peveyra, & T. H. Seligman. 1985. Ann. of Phys. 161:254;
36. see also G. López, P. A. Mello, & T. H. Seligman, Z. Phys. A 302:351 (1981).
37. Méndez-Sánchez, R. A., U. Kuhl, M. Barth, C. H. Lewenkopf, & H.-J. Stöckmann. 2003. Phys. Rev. Lett. 91:174102.
38. Ott, E. 2002. Chaos in dynamical systems, 2nd ed. Cambridge, England: Cambridge University Press.
39. Price, R. H., H. T. Davis, & E. P. Wenaas. 1993. Phys. Rev. E 48:4716.
40. Taniguchi, N., & V. N. Prigodin. 1996. Phys. Rev. B. 54:14305.
41. Verbaarschot, J. J. M., H. A. Weidenmüller, & M. R. Zirnbauer. 1985. Phys. Rep. 129:367.
42. Warne, L. K., K. S. H. Lee, H. G. Hudson, W. A. Johnson, R. E. Jorgenson, & S. L. Stronach. 2003. IEEE Trans. on Anten. and Prop. 51:978.
43. Wigner, E. P. 1951. Ann. Math. 53:36;
44. see also Wigner, E. P. Ann. Math. 62:548 (1955);
45. Wigner, E. P. Ann. Math. 65:203 (1957);
46. Wigner, E. P. Ann. Math. 67:325 (1958).
47. Wigner, E. P., & L. Eisenbud. 1947. Phys. Rev. 72:29.