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Time-Varying Phenomena in Cavities

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Elements of Quantum Optics

Abstract

Sections 6-4 and 6-5 consider the bidirectional ring laser, which is described by two oppositely-running waves of possibly different frequencies. This is a simple and useful example of multimode phenomena that can produce time variations in the laser. The present chapter considers a number of time-varying laser processes such as the relaxation oscillations in the ruby or semiconductor laser output, the build-up of multimode operation in lasers, the generation of steady-state pulse trains, and chaotic operation. Some of these time-varying processes result when you might expect single-mode steady-state operation such as in a homogeneously-broadened unidirectional ring laser. As such their multimode character can be thought of as an instability of single-mode operation. Other cases of multimode operation are expected intuitively, since different cavity modes interact to a considerable extent with different atoms, such as in a Doppler-broadened gaseous medium. While these can also be thought of as optical instabilities, we prefer to refer to them in the traditional way simply as multimode operation. In particular, this kind of operation can produce a periodic train of short pulses.

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References

  • For a recent review of instabilities and chaos in optical systems, see Milonni, P. W., M. L. Shih, J. R. Ackerhalt (1987), Chaos in Laser-Matter Interactions, World Scientific Publishing Co., Singapore.

    Google Scholar 

  • For an overview of laser instabilities including many references to the early literature, see N. B. Abraham, L. A. Lugiato, and L. M. Narducci (1985), J. Opt. Soc. B2, January issue. The semiclassical treatment most closely corresponding to Chaps 8–10 is given in this same issue by S. Hendow and M. Sargent III starting on p. 84.

    Google Scholar 

  • Abraham, N. B., L. Narducci, and P. Mandel (1988), Progress in Optics.

    Google Scholar 

  • Grazyuk, A. Z. and A. N. Oraevski (1964), in Quantum Electronics and Coherent Light, P. A. Miles, ed., Academic Press, New York.

    Google Scholar 

  • Haken, H. (1966), Z. Physik 190, 327.

    Article  MathSciNet  ADS  Google Scholar 

  • Risken, H., C. Schmidt, and W. Weidlich (1966), Z. Physik 194, 337. Graham, R. and H. Haken (1966), Z. Physik 213, 420.

    Google Scholar 

  • Risken, H. and K. Nummedal (1968), J. Appl. Phys. 39, 4662.

    Google Scholar 

  • Bonifacio, R. and L. A. Lugiato (1978), Lett. Nuovo Cimento 21, 505. The relationship to the three-mode semiclassical theory is explained in Ref. 8 and M. Gronchi, V. Benza, L. A. Lugiato, P. Meystre, and M. Sargent III (1981), Phys. Rev. A24, 1419.

    Google Scholar 

  • Casperson, L. W. (1978), IEEE J. Quant. Elect. QE-14, 756. This paper shows how more than one laser frequency can have gain and be resonant for the same wavelength.

    Google Scholar 

  • Erneux, T, S. M. Baer, and P. Mandel (1987), Phys. Rev. A35, 1165.

    Article  ADS  Google Scholar 

  • Haken, H. (1975), Phys. Lett. 53A, 77. This paper gives the isomorphism between the Maxwell-Bloch equations and the Lorenz equations in hydrodynamics.

    Google Scholar 

  • Haken, H. (1985), Light, Vol. 2, Laser Light Dynamics, North-Holland Physics Publishing, Amsterdam.

    Google Scholar 

  • Haken, H. (1978), Synergetics, An Introduction,Springer-Verlag, Heidelberg, p. 123.

    Google Scholar 

  • Sargent, M. III (1976), in Applications of lasers to atomic and molecular physics, Proc. Les Houches Summer School, Ed. by R. Balian, S. Haroche, and S. Lieberman, North-Holland, Amsterdam.

    Google Scholar 

  • Sargent, M. III, M. O. Scully, and W. E. Lamb, Jr. (1974), Laser Physics, Addison-Wesley, Reading, MA.

    Google Scholar 

  • Smith, P. W., M. A. Duguay, and E. P. Ippen (1974), Mode Locking of Lasers, Pergamon Press, Oxford.

    Google Scholar 

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© 1990 Springer-Verlag Berlin Heidelberg

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Meystre, P., Sargent, M. (1990). Time-Varying Phenomena in Cavities. In: Elements of Quantum Optics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07007-9_10

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  • DOI: https://doi.org/10.1007/978-3-662-07007-9_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-07009-3

  • Online ISBN: 978-3-662-07007-9

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