Quantum Langevin theory of excess noise in lasers

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 61, Issue 2, 2000, Pages 238061-238067

  Bardroff, P J ^a   Stenholm, S ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

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EID: 0347108582     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. A.L. Schawlow and C.H. Townes, Phys. Rev. 112, 1940 (1958).
2. See, e.g., M. Sargent III, M. O. Scully, and W. E. Lamb, Jr., Laser Physics (Addison-Wesley, Reading, MA, 1974).
3. See, e.g., M. Lax, in Physics of Quantum Electronics, edited by P. L. Kelley, B. Lax, and P. E. Tannenwald (McGraw-Hill, New York, 1966), p. 735.
4. K. Petermann, IEEE J. Quantum Electron. QE-15, 566 (1979).
5. W.A. Hamel and J.P. Woerdman, Phys. Rev. Lett. 64, 1506 (1990).
6. Y.-J. Cheng, P.L. Musche, and A.E. Siegman, IEEE J. Quantum Electron. QE-30, 1498 (1994); Y.-J. Cheng, G. Fanning, and A.E. Siegman, Phys. Rev. Lett. 77, 627 (1996).
7. Y.-J. Cheng, P.L. Musche, and A.E. Siegman, IEEE J. Quantum Electron. QE-30, 1498 (1994); Y.-J. Cheng, G. Fanning, and A.E. Siegman, Phys. Rev. Lett. 77, 627 (1996).
8. M.A. van Eijkelenborg, Å.M. Lindberg, M.S. Thijssen, and J.P. Woerdman, Phys. Rev. Lett. 77, 4314 (1996); M.A. van Eijkelenborg, Å.M. Lindberg, M.S. Thijssen, and J.P. Woerdman, Opt. Commun. 137, 303 (1997); M.A. van Eijkelenborg, M.P. van Exter, and J.P. Woerdman, Phys. Rev. A 57, 571 (1998).
9. M.A. van Eijkelenborg, Å.M. Lindberg, M.S. Thijssen, and J.P. Woerdman, Phys. Rev. Lett. 77, 4314 (1996); M.A. van Eijkelenborg, Å.M. Lindberg, M.S. Thijssen, and J.P. Woerdman, Opt. Commun. 137, 303 (1997); M.A. van Eijkelenborg, M.P. van Exter, and J.P. Woerdman, Phys. Rev. A 57, 571 (1998).
10. M.A. van Eijkelenborg, Å.M. Lindberg, M.S. Thijssen, and J.P. Woerdman, Phys. Rev. Lett. 77, 4314 (1996); M.A. van Eijkelenborg, Å.M. Lindberg, M.S. Thijssen, and J.P. Woerdman, Opt. Commun. 137, 303 (1997); M.A. van Eijkelenborg, M.P. van Exter, and J.P. Woerdman, Phys. Rev. A 57, 571 (1998).
11. A.M. van der Lee, N.J. van Druten, A. Mieremet, M.A. van Eijkelenborg, Å.M. Lindberg, M.P. van Exter, and J.P. Woerdman, Phys. Rev. Lett. 79, 4357 (1997); O. Emile, M. Brunel, A. Le Floch, and F. Bretenaker, Europhys. Lett. 43, 153 (1998).
12. A.M. van der Lee, N.J. van Druten, A. Mieremet, M.A. van Eijkelenborg, Å.M. Lindberg, M.P. van Exter, and J.P. Woerdman, Phys. Rev. Lett. 79, 4357 (1997); O. Emile, M. Brunel, A. Le Floch, and F. Bretenaker, Europhys. Lett. 43, 153 (1998).
13. Å.M. Lindberg, M.A. van Eijkelenborg, K. Joosten, G. Nienhuis, and J.P. Woerdman, Phys. Rev. A 57, 3036 (1998); O. Emile, M. Brunel, F. Bretenaker, and A. Le Floch, ibid. 57, 4889 (1998).
14. Å.M. Lindberg, M.A. van Eijkelenborg, K. Joosten, G. Nienhuis, and J.P. Woerdman, Phys. Rev. A 57, 3036 (1998); O. Emile, M. Brunel, F. Bretenaker, and A. Le Floch, ibid. 57, 4889 (1998).
15. A.M. van der Lee, M.P. van Exter, A.L. Mieremet, N.J. van Druten, and J.P. Woerdman, Phys. Rev. Lett. 81, 5121 (1998).
16. A.E. Siegman, Phys. Rev. A 39, 1253 (1989), and references therein; and (unpublished).
17. Ph. Goldberg, P.W. Milonni, and B. Sundaram, Phys. Rev. A 44, 1969 (1991); Ph. Grangier and J.-Ph. Poizat, Eur. Phys. J. D 1, 97 (1998); C. Lamprecht and H. Ritsch, Phys. Rev. Lett. 82, 3787 (1999).
18. Ph. Goldberg, P.W. Milonni, and B. Sundaram, Phys. Rev. A 44, 1969 (1991); Ph. Grangier and J.-Ph. Poizat, Eur. Phys. J. D 1, 97 (1998); C. Lamprecht and H. Ritsch, Phys. Rev. Lett. 82, 3787 (1999).
19. Ph. Goldberg, P.W. Milonni, and B. Sundaram, Phys. Rev. A 44, 1969 (1991); Ph. Grangier and J.-Ph. Poizat, Eur. Phys. J. D 1, 97 (1998); C. Lamprecht and H. Ritsch, Phys. Rev. Lett. 82, 3787 (1999).
20. P. J. Bardroff and S. Stenholm, Phys. Rev. A 60, 2529 (1999).
21. R. Lang, M.O. Scully, and W.E. Lamb, Phys. Rev. A 7, 1788 (1973).
22. n,m.
23. This is true as long as the non-Hermitian matrix has no degenerate eigenvalues. For a discussion of matrix properties see, e.g., P. Lencaster, Theory of Matrices (Academic Press, New York, 1969).