Resonator stability subject to dynamic random-tilt aberration

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 20, Issue 1, 2003, Pages 151-156

  Hongler, Max Olivier ^a   Lasser, Theo ^a   Evéquoz, Gilles ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ABERRATIONS; APPROXIMATION THEORY; COMPUTER SIMULATION; MIRRORS;

PARAXIAL APPROXIMATION;

OPTICAL RESONATORS;

EID: 0041571895     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.20.000151     Document Type: Article

References (15)

1. V. N. Mahajan, Optical Imaging and Aberrations. Part I. Ray Geometrical Optics, Vol. PM45 of SPIE Monographs (SPIE Press, Bellingham, Wash., 1998), Chap. 7.
2. A. J. F. Siegert, "On the first passage time probability problem," Phys. Rev. 81, 617-623 (1951).
3. H. P. McKean, Jr., "A winding problem for a resonator driven by a white noise," J. Math. Kyoto Univ. 2, 227-235 (1963).
4. S. H. Crandall, "First-crossing probabilities of the linear oscillator," J. Sound Vib. 12, 282-299 (1970).
5. J. B. Roberts, "First passage time for the envelope of a randomly excited linear oscillator," J. Sound Vib. 46, 1-14 (1976).
6. J. B. Roberts, "First passage time for randomly excited nonlinear oscillators," J. Sound Vib. 109, 31-50 (1986).
7. J. N. Franklin and E. R. Rodemich, "Numerical analysis of an elliptic-parabolic partial differential equation," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 5, 680-716 (1968).
8. J. Masoliver and J. P. Porra, "Exact solution to the exit-time problem for free particle driven by Gaussian white noise," Phys. Rev. E 53, 2243-2256 (1996).
9. A. Lachal, "Sur le premier instant de passage de l'intégrale du mouvement Brownien," Ann. Inst. Henri Poincaré Sect. B 27, 385-405 (1991).
10. A. Lachal, "Temps de sortie d'un intervalle borné pour l'intégrale du mouvement Brownien," C. R. Acad. Sci. Ser. I: Math. 324, 559-664 (1997).
11. A. Lachal, "First exit time from a bounded interval for a certain class of additive functional of Brownian motion," J. Theor. Prob. 13, 733-775 (2000).
12. S. Spuler and M. Linne, "Numerical analysis of beam propagation in pulsed cavity ring-down spectroscopy," Appl. Opt. 41, 2858-2868 (2002).
13. A. E. Siegmann, Lasers (University Science, Mill Valley, Calif., 1986).
14. J. M. Burch and A. Gerrard, Introduction to Matrix Methods in Optics (Dover, New York, 1975).
15. S. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (Springer-Verlag, Berlin, 1983).