Rate-equation approximations in high-gain lasers

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 55, Issue 4, 1997, Pages 3073-3085

  Casperson, Lee W ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; DOPPLER EFFECT; ELECTROMAGNETIC FIELD THEORY; ELECTROMAGNETIC WAVE POLARIZATION; FUNCTIONS; LINEARIZATION; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; STABILITY;

COHERENCE DECAY RATE; HIGHER ORDER RATE EQUATION APPROXIMATION; MODIFIED ADIABATIC ELIMINATION METHODS; PHASE RELAXATION RATE; RATE EQUATION APPROXIMATION; SEMICLASSICAL MODELS; WAVE FUNCTIONS;

LASER THEORY;

EID: 0031117823     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.55.3073     Document Type: Article

References (21)

1. H. Statz and G. DeMars, in Quantum Electronics, A Symposium, edited by C. H. Townes (Columbia University Press, New York, 1960), pp. 530–537.
2. R. Dunsmuir, J. Electron. Control 10, 453 (1961).
3. W. W. Rigrod, J. Appl. Phys. 34, 2602 (1963).
4. R. Bellman, G. Birnbaum and W. G. Wagner, J. Appl. Phys. 34, 780 (1963).
5. L. M. Frantz and J. S. Nodvik, J. Appl. Phys. 34, 2346 (1963).
6. E. O. Schulz-DuBois, Bell Syst. Tech. J. 43, 625 (1964).
7. A. G. Gurtovnik, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 1, 83 (1958) [English translation TG230-T382 in Applied Physics Laboratory Library Bulletin (Johns Hopkins University, Baltimore, 1963)].
8. C. L. Tang, J. Appl. Phys. 34, 2935 (1963).
9. W. E. Lamb, Jr., Phys. Rev. 134, A1429 (1964).
10. L. W. Casperson, J. Opt. Soc. Am. B 5, 958 (1988), and references therein.
11. L. W. Casperson, Phys. Rev. A 42, 6721 (1990).
12. L. W. Casperson, Phys. Rev. A 43, 5057 (1991).
13. L. W. Casperson, Phys. Rev. A 44, 3291 (1991), and references therein.
14. L. W. Casperson, Phys. Rev. A 46, 401 (1992).
15. W. Kaplan, Ordinary Differential Equations (Addison-Wesley, Palo Alto, CA, 1962), Eq. (2-58).
16. L. A. Lugiato, P. Mandel and L. M. Narducci, Phys. Rev. A 29, 1438 (1984).
17. See, for example, N. G. de Bruijn, Asymptotic Methods in Analysis (North-Holland, Amsterdam, 1970), Chap. 4.
18. L. W. Casperson, J. Opt. Soc. Am. 2, 993 (1985).
19. C.R.C. Standard Mathematical Tables, 12th ed., edited by C. D. Hodgman (Chemical Rubber Publishing Company, Cleveland, Ohio, 1961), p. 313.
20. L. W. Casperson and A. Yariv, IEEE J. Quantum Electron. QE-8, 69 (1972).
21. C.R.C. Standard Mathematical Tables (Ref. 21), p. 358.