Trace formula for dielectric cavities. II. Regular, pseudointegrable, and chaotic examples

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 83, Issue 3, 2011, Pages

  Bogomolny, E ^a,b   Djellali, N ^c   Dubertrand, R ^d   Gozhyk, I ^c   Lebental, M ^c   Schmit, C ^a,b   Ulysse, C ^e   Zyss, J ^c  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b UNIVERSITÉ PARIS SUD   (France)

^c UNIVERSITÉ PARIS SACLAY   (France)

^d INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

^e CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIELECTRIC DEVICES;

CIRCULAR CAVITY; DIELECTRIC CAVITIES; MICRO LASER; TRACE FORMULAE;

GEOMETRY;

EID: 79961050802     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.036208     Document Type: Article

References (34)

1. K. J. Vahala, Nature (London) NATUAS 0028-0836 10.1038/nature01939 424, 839 (2003). (Pubitemid 37021719)
2. A. B. Matsko, Practical Applications of Microresonators in Optics and Photonics (CRC Press, Boca Raton, 2009).
3. E. Bogomolny, R. Dubertrand, C. Schmit, Phys. Rev. E NATUAS 1539-3755 10.1103/PhysRevE.78.056202 78, 056202 (2008).
4. P. Lax and R. S. Phillips, Scattering Theory (Springer, New York, 1963).
5. V. Petkov and G. Popov, Ann. Inst. Fourier 32, 111 (1982).
6. U. Smilansky and I. Ussishkin, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/29/10/033 29, 2587 (1996). (Pubitemid 126069680)
7. D. Robert, Partial Differential Equations and Mathematical Physics (Birkhäuser, Boston, 1996).
8. D. Robert, Helv. Phys. Acta 71, 44 (1998).
9. G. Popov and G. Vodev, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s002200050731 207, 411 (1999).
10. M. Lebental, N. Djellali, C. Arnaud, J.-S. Lauret, J. Zyss, R. Dubertrand, C. Schmit, and E. Bogomolny, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.023830 76, 023830 (2007). (Pubitemid 47358515)
11. M. Lebental, E. Bogomolny, and J. Zyss, in Practical Applications of Microresonators in Optics and Photonics, edited by, A. Matsko, (CRC Press, Boca Raton, 2009).
12. S. Bittner, B. Dietz, M. Miski-Oglu, O. Iriarte, A. Richter, and F. Schäfer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.023825 80, 023825 (2009).
13. J. Sjöstrand and M. Zworski, Acta Math. ACMAA8 0001-5962 10.1007/BF02392828 183, 191 (1999).
14. M. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, Berlin, 1990).
15. R. Balian and C. Bloch, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(70) 90497-5 60, 401 (1970);
16. R. Balian and C. Bloch, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(71) 90286-7 64, 271 (1971);
17. R. Balian and C. Bloch, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(72) 90006-1 69, 76 (1972).
18. R. K. Chang and A. J. Campillo, Optical Processes in Microcavities (World Scientific, Singapore, 1996).
19. D. Kajfez and P. Guillon, Dielectric Resonators (Norwood, MA, 1986).
20. S. Preu, H. G. L. Schwefel, S. Malzer, G. H. Dhler, L. J. Wang, M. Hanson, J. D. Zimmerman, and A. C. Gossard, Opt. Express OPEXFF 1094-4087 10.1364/OE.16.007336 16, 7336 (2008). (Pubitemid 351697419)
21. I. Gozhyk (to be published).
22. S. Lozenko, N. Djellali, J. Lautru, I. Gozhyk, D. Bouche, M. Lebental, C. Ulysse, and J. Zyss (to be published).
23. M. Lebental, J.-S. Lauret, J. Zyss, C. Schmit, and E. Bogomolny, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.033806 75, 033806 (2007). (Pubitemid 46418227)
24. R. Dubertrand, E. Bogomolny, N. Djellali, M. Lebental, and C. Schmit, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.013804 77, 013804 (2008).
25. E. Bogomolny (to be published).
26. P. J. Richens and M. V. Berry, Physica D PDNPDT 0167-2789 10.1016/0167-2789(81)90024-5 2, 495 (1981).
27. B. Dietz and U. Smilansky, Physica D PDNPDT 0167-2789 10.1016/0167-2789(95)00084-H 86, 34 (1995).
28. S. Bittner, E. Bogomolny, B. Dietz, M. Miski-Oglu, O. Iriarte, A. Richter, and F. Schäfer, Phys. Rev. E PDNPDT 1539-3755 10.1103/PhysRevE.81. 066215 81, 066215 (2010).
29. E. Mathieu, J. Math. Pures Appl. 13, 137 (1868) (in French).
30. E. Bogomolny, O. Giraud, and C. Schmit, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s002200100516 222, 327 (2001).
31. M. Hentschel and H. Schomerus, Phys. Rev. E CMPHAY 1539-3755 10.1103/PhysRevE.65.045603 65, 045603 (2002). (Pubitemid 40618903)
32. N. Djellali, I. Gozhyk, D. Owens, S. Lozenko, M. Lebental, J. Lautru, C. Ulysse, B. Kippelen, and J. Zyss, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3205474 95, 101108 (2009).
33. C. P. Dettmann, G. V. Morozov, M. Sieber, and H. Waalkens, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/87/34003 87, 34003 (2009).
34. R. Burge, X.-C. Yuan, B. Carroll, N. Fisher, T. Hall, G. Lester, N. Taket, and C. Oliver, IEEE Trans. Antennas Propag. IETPAK 0018-926X 10.1109/8.805894 47, 1515 (1999). (Pubitemid 30536127)