Giant pulse lasing in three-level systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 59, Issue 4, 1999, Pages 3038-3043

  Mompart, J ^a   Corbalan R ^a   Vilaseca, R ^b  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000569899     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.3038     Document Type: Article

References (25)

1. For instance, see P. Milonni and J. H. Eberly, Lasers (John Wiley & Sons, New York, 1988).
2. O. Svelto, Principles of Lasers, 3rd ed. (Plenum Press, New York, 1989).
3. M. O. Scully, in Proceedings of the NATO Advanced Research Workshop on Noise and Chaos in Nonlinear Dynamical Systems, Torino, Italy, 1989 (Plenum, New York, 1990)
4. E. Roldán, G.J. de Valcárcel, R. Vilaseca, and R. Corbalán, Phys. Rev. A 49, 1487 (1994).
5. For reviews on the topic see M. O. Scully, Phys. Rep. 219, 191 (1992)
6. E. Arimondo, in Progress in Optics XXXV, edited by E. Wolf (Elsevier Science, Amsterdam, 1996)
7. S.E. Harris, Phys. Today 50(7), 36 (1997), and references therein.
8. Note that to invert the population between levels (Formula presented) and (Formula presented) the incoherent pumping scheme must consist of a transfer of population from level (Formula presented) to an atomic level above level (Formula presented) (not shown in Fig. 11), followed by a radiative or nonradiative decay to level (Formula presented) As in most theoretical treatments, this decay is considered here so fast that the population of the extra level can be neglected.
9. In the numerical simulations we will maintain small but nonzero detunings to allow dispersive effects to take place and, therefore, including the possibility of detuned continuous wave lasing even with driving and cavity on resonance with their respective transitions.
10. See R. Corbalán, J. Mompart, R. Vilaseca, and E. Arimondo, Quantum Semiclassic. Opt. 10, 309 (1998);and Refs. 7 and 8.
11. J. Mompart, C. Peters, and R. Corbalán, Phys. Rev. A 57, 2163 (1998).
12. Depending on the parameter values, the Hopf bifurcation yields to a continuous wave (cw) or a self-pulsing lasing regime, see Ref. 7
13. and A.G. Vladimorov, P. Mandel, S.F. Yelin, M.D. Lukin, and M.O. Scully, Phys. Rev. E 57, 1499 (1998).
14. C. Cohen-Tannoudji, B. Zambon, and E. Arimondo, J. Opt. Soc. Am. B 10, 2107 (1993).
15. J. Mompart and R. Corbalán, Opt. Commun.156, 133 (1998).
16. From the expression of the Einstein A coefficient, one obtains the following relationship between the spontaneous decay rates: (Formula presented)
17. The relationship between the laser intensity I and the Rabi frequency (Formula presented) is given by (Formula presented) When I is expressed in (Formula presented) in Hz, and (Formula presented) in C cm, (Formula presented)
18. In the numerical simulation, we fix a minimum Rabi frequency (Formula presented) which corresponds to an intensity (Formula presented) in order to allow, if possible, the destabilization of the trivial nonlasing solution.
19. This time delay depends on the minimum Rabi frequency (Formula presented) For values of (Formula presented) in the range (Formula presented) this dependence reads as follows: (Formula presented) with (Formula presented) and (Formula presented) This means that a large change in the value of (Formula presented) is practically equivalent to a shift in time scale by a small amount. Note that with (Formula presented) the time delay would be infinite, i.e., the laser does not switch on. This is a feature of the semiclassical laser equations, which ignore spontaneous emission into the laser mode [see Eq. (1j)].
20. K. Shimoda, Introduction to Laser Physics, 2nd ed. (Springer-Verlag, Berlin, 1986).
21. M.D. Lukin, M.O. Scully, G.R. Welch, E.S. Fry, L. Hollberg, G.G. Padmabandu, H.G. Robinson, and A.S. Zibrov, Laser Phys. 6, 436 (1996).
22. S.F. Yelin, M.D. Lukin, M.O. Scully, and P. Mandel, Phys. Rev. A 57, 3858 (1998).
23. V. Ahufinger, J. Mompart, R. Corbalán, and R. Vilaseca, Frequency Up-conversion Lasing Without Inversion in the Doppler-broadened V-scheme, in European Quantum Electronics Conference, Technical Digest (Institute of Electronical and Electronics Engineers, Piscataway, NJ, 1998), p. QTuE1;and unpublished.
24. For an on-resonance driving field, inversion without amplification can also be obtained in the so-called V-type and (Formula presented)-type three-level systems provided that there is also inversion in the driven transition (see Ref. 10). As in the cascade configurations, absorption is due to the predominance of the two-photon loss processes at line center.
25. N. G. Douglas, Millimetre and Submillimetre Wavelength Lasers (Springer-Verlag, Berlin, 1989).