## Switch-on time statistics of modulated gas lasers

JOSA B, Vol. 12, Issue 12, pp. 2486-2493 (1995)

http://dx.doi.org/10.1364/JOSAB.12.002486

Acrobat PDF (408 KB)

### Abstract

Measurements of the switch-on time statistical properties of a single-mode Ar<sup>+</sup> laser modulated by an acoustooptic modulator (AOM) are reported. The mean switch-on time, 〈τ〉, is found to increase linearly with the time of application of the AOM, <i>t</i><sub>off</sub>, before reaching a constant value for large values of <i>t</i><sub>off</sub>. The switch-on time variance, σ<sub>τ</sub>, shows a maximum as a function of <i>t</i><sub>off</sub>. These results are explained with the use of a model that includes the spontaneous emission noise and fluctuations in the loss factor caused by the random character of the radio frequency signal driving the AOM. An analytic approximation is developed to obtain the slope of 〈τ〉 versus t<sub>off</sub> and to characterize the maximum of σ<sub>τ</sub>

© 1995 Optical Society of America

**Citation**

A. Valle, F. Moreno, L. Pesquera, F. González, and M. A. Rodríguez, "Switch-on time statistics of modulated gas lasers," J. Opt. Soc. Am. B **12**, 2486-2493 (1995)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-12-12-2486

Sort: Year | Journal | Reset

### References

- M. Suzuki, in Order of Fluctuations in Equilibrium and Nonequilibrium Statistical Mechanics, G. Nicolis, G. Dewel, and J. Turner, eds. (Wiley, New York, 1980).
- F. de Pasquale and P. Tombesi, "The decay of an unstable equilibrium state near a critical point," Phys. Lett. 72 A, 7 (1979); F. de Pasquale, P. Tartaglia, and P. Tombesi, "New expansion technique for the decay of an unstable state," Phys. Rev. A 25, 466 (1982).
- G. Ahlers, M. C. Cross, P. C. Hohenberg, and S. Safran, "The amplitude equation near the convective threshold: application to time dependent heating experiments," J. Fluid Mech. 110, 297 (1981); J. B. Swift, P. C. Hohenberg, and G. Ahlers, "Stochastic Landau equation with time-dependent drift," Phys. Rev. A 43, 6572 (1991).
- G. Broggi, A. Colombo, L. A. Lugiato, and P. Mandel, "Influence of white noise on delayed bifurcations," Phys. Rev. A 33, 3635 (1986).
- M. C. Torrent and M. San Miguel, "Stochastic-dynamical characterization of delayed laser threshold instability with swept control parameter," Phys. Rev. A 38, 245 (1988).
- A. Valle, L. Pesquera, and M. A. Rodríguez, "Transient statistics for a good cavity laser with swept losses," Phys. Rev. A 45, 5243 (1992).
- W. Scharpf, M. Squicciarini, D. Bromley, C. Green, J. R. Tredicce, and L. M. Narducci, "Experimental observation of a delayed bifurcation at the threshold of an argon laser," Opt. Commun. 63, 344 (1987); W. Scharpf, "Delayed bifurcation at threshold in argon-ion lasers," Ph.D. dissertation (Drexel University, Philadelphia, Pa., 1988).
- D. Bromley, E. J. D'Angelo, H. Grassi, C. Mathis, J. R. Tredicce, and S. Balle, "Anticipation of the switch-off and delay of the switch-on of a laser with a swept parameter," Opt. Commun. 99, 65 (1993).
- F. de Pasquale, Z. Racz, M. San Miquel, and P. Tartaglia, "Fluctuations and limit of metastability in a periodically driven unstable system," Phys. Rev. B 30, 5228 (1984).
- M. Suzuki, Phys. Lett. A 67, 339 (1978); Prog. Theor. Phys. (Kyoto) 64, 402 (1978).
- M. O. Cáceres, A. Becker, and L. Kramer, "Asymptotic probability distribution for a supercritical bifurcation swept periodically in time," Phys. Rev. A 43, 6581 (1991).
- A. Valle, M. A. Rodríguez, and L. Pesquera, "Statistical properties of pulses: application to modulated gas lasers," Phys. Rev. A 47, 4176 (1993).
- W. Meyer, G. Ahlers, and D. S. Cannell, "Initial stages of pattern formation in Rayleigh–Bernard convection," Phys. Rev. Lett. 59, 1577 (1987).
- B. McNamara, K. Wiesenfeld, and R. Roy, "Observation of stochastic resonance in a ring laser," Phys. Rev. Lett. 60, 2626 (1988).
- O. Svelto, Principles of Lasers (Plenum, New York, 1982).
- K. Petermann, Laser Diode Modulation and Noise (Kluwer, The Netherlands, 1988).
- M. R. Young and S. Singh, "Decay of an unstable state," Phys. Rev. A 31, 888 (1985); "Observation of the Brownian motion of the electric field in a laser," Phys. Rev. A 35, 1453 (1987).
- F. T. Arecchi, W. Gadomski, R. Meucci, and J. A. Roversi, "Dynamics of laser buildup from quantum noise," Phys. Rev. A 39, 4004 (1989).
- R. Roy, A. W. Yu, and S. Zhu, "Quantum fluctuations, pump noise, and the growth of laser radiation," Phys. Rev. Lett. 55, 2794 (1985); S. Zhu, A. W. Yu, and R. Roy, "Statistical fluctuations in laser transients," Phys. Rev. A 34, 4333 (1986).
- F. de Pasquale, J. M. Sancho, M. San Miguel, and P. Tartaglia, "Theory of the transient statistics of a dye laser," Phys. Rev. Lett. 56, 2473 (1986).
- M. Sargent III, M. O. Scully, and W. E. Lamb, Jr., Laser Physics (Addison-Wesley, Reading, Mass., 1974).
- L. M. Narducci and N. B. Abraham, Laser Physics and Laser Instabilities (World Scientific, N.J., 1988).
- J. M. Sancho, M. San Miguel, S. L. Katz, and J. D. Gunton, "Analytical and numerical studies of multiplicative noise," Phys. Rev. A 26, 1589 (1982).
- N. Berg and J. Lee, Acousto-Optic Signal Processing. Theory and Implementation (Marcel Dekker, New York, 1983).
- A. Valle, M. A. Rodríguez, and C. Mirasso, "Analytical calculation of timing jitter in single mode semiconductor lasers under fast periodic modulation," Opt. Lett. 17, 1523 (1992).
- M. San Miguel, "Statistics of laser switch-on," in Laser Noise, R. Roy, ed., Proc. Soc. Photo-Opt. Instrum. Eng. 1376, 272–283 (1991).
- B. E. A. Saleh and M. C. Teich, Fundamental of Photonics (Addison-Wesley, Reading, Mass., 1991).
- F. T. Arecchi, V. Degiorgio, and B. Querzola, "Time-dependent statistical properties of the laser radiation," Phys. Rev. Lett. 19, 1168 (1967); F. T. Arecchi and V. Degiorgio, "Statistical properties of laser radiation during a transient buildup," Phys. Rev. A 3, 1108 (1971).

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article | Next Article »

OSA is a member of CrossRef.