Excess quantum noise due to mode nonorthogonality in dielectric microresonators

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 6, 2009, Pages

  Schomerus, Henning ^a  

^a LANCASTER UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CAVITY RESONANCES; DIELECTRIC CONSTANTS; DIELECTRIC MICRORESONATORS; EXCESS-QUANTUM NOISE; HOMOGENEOUS MEDIUM; INTENSITY PROFILES; LASER THRESHOLD; MODE STRUCTURE; NON-ORTHOGONALITY; NON-UNIFORM GAIN; NONPARAXIAL; PEAK POSITION;

DIELECTRIC DEVICES;

LASER THEORY;

EID: 67249133725     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.061801     Document Type: Article

References (32)

1. A. L. Schawlow and C. H. Townes, Phys. Rev. 112, 1940 (1958). 10.1103/PhysRev.112.1940
2. K. Petermann, IEEE J. Quantum Electron. 15, 566 (1979). 10.1109/JQE.1979.1070064
3. A. E. Siegman, Phys. Rev. A 39, 1253 (1989). 10.1103/PhysRevA.39.1253
4. W. A. Hamel and J. P. Woerdman, Phys. Rev. Lett. 64, 1506 (1990). 10.1103/PhysRevLett.64.1506
5. Y.-J. Cheng, Phys. Rev. Lett. 77, 627 (1996). 10.1103/PhysRevLett.77.627
6. M. A. van Eijkelenborg, Phys. Rev. Lett. 77, 4314 (1996); 10.1103/PhysRevLett.77.4314
7. M. A. van Eijkelenborg, Phys. Rev. A 55, 4556 (1997). 10.1103/PhysRevA.55.4556
8. A. M. van der Lee, Phys. Rev. Lett. 79, 4357 (1997). 10.1103/PhysRevLett. 79.4357
9. C. Gmachl, Science 280, 1556 (1998). 10.1126/science.280.5369.1556
10. N. B. Rex, Phys. Rev. Lett. 88, 094102 (2002). 10.1103/PhysRevLett.88. 094102
11. S.-B. Lee, Phys. Rev. Lett. 88, 033903 (2002). 10.1103/PhysRevLett.88. 033903
12. T. Harayama, Phys. Rev. Lett. 91, 073903 (2003). 10.1103/PhysRevLett.91. 073903
13. M. Lebental, Appl. Phys. Lett. 88, 031108 (2006). 10.1063/1.2159099
14. T. Fukushima and T. Harayama, IEEE J. Sel. Top. Quantum Electron. 10, 1039 (2004). 10.1109/JSTQE.2004.836003
15. T. Fukushima, Phys. Rev. A 73, 023816 (2006). 10.1103/PhysRevA.73.023816
16. S.-Y. Lee, Phys. Rev. Lett. 93, 164102 (2004). 10.1103/PhysRevLett.93. 164102
17. M. Patra, Phys. Rev. A 61, 023810 (2000). 10.1103/PhysRevA.61.023810
18. K. Frahm, Europhys. Lett. 49, 48 (2000). 10.1209/epl/i2000-00118-y
19. H. Schomerus, Physica A 278, 469 (2000). 10.1016/S0378-4371(99)00602-0
20. J. P. Keating, Phys. Rev. A 77, 013834 (2008). 10.1103/PhysRevA.77.013834
21. S.-Y. Lee, Phys. Rev. A 78, 015805 (2008). 10.1103/PhysRevA.78.015805
22. J. Wiersig, Phys. Rev. A 78, 053809 (2008). 10.1103/PhysRevA.78.053809
23. M. V. Berry, J. Mod. Opt. 50, 63 (2003).
24. S.-B. Lee (unpublished).
25. P. Goldberg, Phys. Rev. A 44, 1969 (1991). 10.1103/PhysRevA.44.1969
26. C. Vassallo, Optical Waveguide Concepts (Elesvier, Amsterdam, 1991).
27. C. W. J. Beenakker, Phys. Rev. Lett. 81, 1829 (1998). 10.1103/PhysRevLett.81.1829
28. See EPAPS Document No. E-PLRAAN-79-R06906 for details of the derivation. For more information on EPAPS, see http://www.aip.org/pubservs/epaps.html.
29. For a practical method to reduce the integration to a finite domain, draw a circle of radius R around the resonator and use R r Hn (+) 2 (ωr) dr =- 1 2 R2 [Hn (+) 2 (ωR) - H n+1 (+) (ωR) H n-1 (+) (ωR)].
30. M. Hentschel and K. Richter, Phys. Rev. E 66, 056207 (2002). 10.1103/PhysRevE.66.056207
31. J. Wiersig and M. Hentschel, Phys. Rev. A 73, 031802 (R) (2006). 10.1103/PhysRevA.73.031802
32. For further modes, see Appendix B in Ref..