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Transverse Traveling-Wave Patterns and Instabilities in Lasers

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Part of the book series: Springer Series in Synergetics ((SSSYN,volume 66))

Abstract

Complex pattern formation or destruction is commonly observed in spatially extended, continuous, dissipative systems, such as convection in ordinary and binary mixture fluids and in liquid crystals, Taylor-Coullet flow, chemical reaction, and directional solidification, etc. [NPL]. Rayleigh-Benard convection has been a canonical system in developing and testing ideas for understanding patterns and transitions [NPL]. Lasers provide another physically and mathematically convenient system for studying space-time complexity, such as pattern selection and spatio-temporal chaos, widely observed in hydrodynamic systems. In this article, we will illustrate, using the two-level and Raman single, longitudinal-mode lasers as prototype systems, the rich variety of pattern-forming instability mechanisms that may appear in wide-aperture lasers.

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References

  1. Newell, A.C., Passot, T., Lega, J.: Order Parameter Equations for Patterns. Ann. Rev. Fluid Mech. 251993, 399.

    Article  MathSciNet  ADS  Google Scholar 

  2. Abraham, N.B., Firth, W.J.: J. Opt. Soc. Am. B 7, 1990, 951, and the references therein. For more recent references, see, e.g., Arecchi, F.T., Boccaletti, S., Mindlin, G.B., Pérez García, C.: Phys. Rev. Lett. 69 1992, 3723; D’Angelo, E.J., Green, C., Tredicce, J.R., Abraham, N.B., Balle, S., Chen, Z., Oppo, G.L.: Physica D 611992, 6; Arecchi, F.T., Boccaletti, S., Giacomelli, G., Puc-cioni, G.P., Ramazza, P.L., Residori, S.: ibid 611992, 25.

    Google Scholar 

  3. Coullet, P., Gil, L., Rocca, F.: Opt. Comm. 731989, 403.

    Article  ADS  Google Scholar 

  4. Jakobsen, P.K., Moloney, J.V., Newell, A.C., Indik, R.: Phys. Rev. A 451992, 8129.

    Article  ADS  Google Scholar 

  5. Newell, A.C., Moloney, J.V.: Nonlinear Optics. Addison-Wesley, Redwood City, CA, 1992.

    Google Scholar 

  6. Busse, F.H.: Rep. Prog. Phys. 411978, 28.

    Article  Google Scholar 

  7. Cross, M.C., Newell, A.C.: Physica D 10, 1984, 299.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Newell, A.C., Passot, T., Souli, M. J.: Fluid Mech., 2201990, 187.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. Lega, J., Jakobsen, P.K., Moloney, J.V., Newell, A.C.: Nonlinear Transverse Modes of Large-Aspect-Ratio Homogeneously Broadened Lasers: II. Pattern Analysis Near and Beyond Threshold. Phys. Rev. A. 49(5) 1994, 4201.

    Article  Google Scholar 

  10. Paap, H.-G., Riecke, H.: Phys. Rev. A 411990, 1943.

    Article  ADS  Google Scholar 

  11. Feng, Q., Moloney, J.V., Newell, A.C.: Amplitude Instabilities of Transverse Traveling Waves in Lasers. Phys. Rev. Lett. 71 111993, 1705 – 1708

    Google Scholar 

  12. Jakobsen, P.K., Lega, J., Feng, Q., Staley, M., Moloney, J.V., Newell, A.C.: Nonlinear Transverse Modes of Large-Aspect-Ratio Homogeneously Broadened Lasers: I. Analysis and Numerical Simulation. Phys. Rev. A 5(49) 1994, 4189.

    Article  Google Scholar 

  13. Lopez Ruiz, R., Mindlin, G.B., Pérez García, C.: Phys. Rev. A 471993, 500.

    Article  ADS  Google Scholar 

  14. Eckhaus, W.: Studies in Nonlinear Stability Theory. Springer, New York, 1965; Kramer, L., and Zimmermann, W.: Physica D 161985, 221; Janiaud, B., Pumir, A., Bensimon, D., Croquette, V., Richter, H., Kramer, L.: Physica D 55 1992, 269.

    Google Scholar 

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Feng, Q., Indik, R., Lega, J., Moloney, J.V., Newell, A.C., Staley, M. (1998). Transverse Traveling-Wave Patterns and Instabilities in Lasers. In: Vorontsov, M.A., Miller, W.B. (eds) Self-Organization in Optical Systems and Applications in Information Technology. Springer Series in Synergetics, vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60315-0_6

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  • DOI: https://doi.org/10.1007/978-3-642-60315-0_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64125-4

  • Online ISBN: 978-3-642-60315-0

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