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Experimental Studies of Instabilities and Chaos in Single-Mode, Inhomogeneously Broadened Gas Lasers

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Instabilities and Chaos in Quantum Optics II

Part of the book series: NATO ASI Series ((NSSB,volume 177))

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Abstract

Inhomogeneously broadened lasers offer a complex problem for detailed theoretical modelling, particularly when the broadening arises from Doppler shifts of the resonant frequencies because of the thermal spread of velocities of individual atoms, as is true for gas lasers. Nevertheless there are several high-gain transitions in gas lasers (3.3 9 μm in neon, and 3.51 μm and 5.57 μm in xenon) which are particularly easy to use in constructing laboratory lasers. We are fortunate that, despite the formal difficulties, these lasers often lend themselves to straight-forward pictorial interpretations in terms of gain and dispersion for many steady-state (and some simple time-dependent) behaviors in the interaction between fields and the material. This makes qualitative discussions of the physics of these devices not only possible but instructive1–9.

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References

  1. L.W. Casperson and A. Yariv, Appl. Phys. Lett., 17, 259 (1970).

    Article  ADS  Google Scholar 

  2. L.W. Casperson and A. Yariv, Appl. Opt., 11, 462 (1972).

    Article  ADS  Google Scholar 

  3. A. Yariv, Introduction to Optical Electronics (Holt-Rinehart, NY, 1987); Quantum Electronics (Wiley, NY, 1975).

    Google Scholar 

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

    Google Scholar 

  5. W.E. Bennett, Jr., Phys. Rev., 126, 580 (1962); Appl. Opt., Suppl. #1, 573 (1963).

    Article  ADS  Google Scholar 

  6. W.E. Lamb, Jr., Phys. Rev., 134, A1429 (1964).

    Article  ADS  Google Scholar 

  7. W.E. Bennett, Jr., The Physics of Gas Lasers (Gordon and Breach, NY, 1977) p. 128.

    Google Scholar 

  8. J.C. Englund and W.C. Schieve, J. Opt. Soc. Am. B, 2, 81 (1985)

    Article  ADS  Google Scholar 

  9. J.C. Englund, in Optical Instabilities, R.W. Boyd, M.G. Raymer and L.M. Narducci, eds., (Cambridge U. Press, Cambridge, 1986) p. 235; in Optical Bistability III, H.M. Gibbs, P. Mandel, N. Peyghambarian, and S.D. Smith, eds., (Springer, Berlin, 1986) p. 356; Phys. Rev. A, 33, 3606 (1986).

    Google Scholar 

  10. J. Bentley and N.B. Abraham, Opt. Commun., 41, 52 (1982).

    Article  ADS  Google Scholar 

  11. M. Maeda and N.B. Abraham, Phys. Rev. A, 26, 3395 (1982).

    Article  ADS  Google Scholar 

  12. N.B. Abraham, T. Chyba, M. Coleman, R.S. Gioggia, N.J. Halas, L.M. Hoffer, S.-N. Liu, M. Maeda, and J.C. Wesson, in Laser Physics. J.D. Harvey and D.F. Walls, eds., Lecture Notes in Physics, vol. 182, (Springer-Verlag, Berlin, 1983) pp. 107–131.

    Chapter  Google Scholar 

  13. R.S. Gioggia and N.B. Abraham, Phys. Rev. Lett., 51, 650 (1983); in Coherence and Quantum Optics V. L. Mandel and E. Wolf, eds., (Plenum, NY, 1984) pp. 563-570.

    Article  ADS  Google Scholar 

  14. R.S. Gioggia and N.B. Abraham, Opt. Commun., 47, 278 (1983); Phys. Rev. A, 29, 1304 (1984).

    Article  ADS  Google Scholar 

  15. A.M. Albano, J. Abounadi, T.H. Chyba, C.E. Searle, S. Yong, R.S. Gioggia, N.B. Abraham, J. Opt. Soc. Am. B, 2, 47 (1985).

    Article  ADS  Google Scholar 

  16. R.S. Gioggia and N.B. Abraham, Acta Physica Austriaca, 57, 127 (1985).

    Google Scholar 

  17. L.W. Casperson, IEEE J. Quantum Electron., OE-14, 756 (1978).

    Article  ADS  Google Scholar 

  18. L.W. Casperson, presented at International Workshop on Instabilities and Chaos in Nonlinear Optical Systems, July 1987; in Instabilities and Chaos in Quantum Optics II, N.B. Abraham, F.T. Arecchi, and L.A. Lugiato, eds., (Plenum, NY, 1988), this volume.

    Google Scholar 

  19. L.E. Urbach, S.-N. Liu, and N.B. Abraham, in Coherence and Quantum Optics V, L. Mandel and E. Wolf, eds., (Plenum, NY, 1984) pp. 593-600.

    Google Scholar 

  20. L.M. Hoffer, T.H. Chyba and N.B. Abraham, J. Opt. Soc. Am. B, 2, 102 (1985).

    Article  ADS  Google Scholar 

  21. M.F.H. Tarroja, N.B. Abraham, D.K. Bandy and L.M. Narducci, Phys. Rev. A, 34, 3148 (1986).

    Article  ADS  Google Scholar 

  22. N.B. Abraham, A.M. Albano, T.H. Chyba, R.S. Gioggia, L.M. Hoffer, and C.E. Searle, in Atti Del IV Congresso Nazionale di Elettronica Quantlstica e Plasmi, (ENEA, Serie Simposi, 1984) pp. 235-242.

    Google Scholar 

  23. N.B. Abraham, A.M. Albano, T.H. Chyba, L.M. Hoffer, M.F.H. Tarroja, S.P. Adams and R.S. Gioggia, in Instabilities and Chaos in Quantum Optics, F.T. Arecchi and R.G. Harrison, eds., (Springer, Berlin, 1987) pp. 49–71.

    Chapter  Google Scholar 

  24. L.W. Casperson, Phys. Rev. A., 21, 911 (1980); 23, 248 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  25. M.L. Minden and L.W. Casperson, IEEE J. Quantum Electron., OE-18, 1952 (1982).

    Article  ADS  Google Scholar 

  26. P. Mandlel, Opt. Commun., 44, 404 (1983); 45, 269 (1983) in Coherence and Quantum Optics V, L. Mandel and E. Wolf, eds., (Plenum, NY, 1984) pp. 579.

    ADS  Google Scholar 

  27. S. Hendow and M Sargent III, Opt. Commun., 40, 385 (1982); 43, 59 (1982); J. Opt. Soc. Am. B, 2, 84 (1985).

    Article  ADS  Google Scholar 

  28. L.A. Lugiato, L.M. Narducci, D.K. Bandy and N.B. Abraham, Opt. Commun., 456, 115 (1984); in Coherence and Quantum Optics V, L. Mandel and E. Wolf, eds., (Plenum, NY, 1984) pp. 217

    Google Scholar 

  29. N.B. Abraham, L.A. Lugiato, P. Mandel, L.M. Narducci and D.K. Bandy, J. Opt. Soc. Am. B, 2, 35 (1985).

    Article  ADS  Google Scholar 

  30. D.K. Bandy, L.M. Narducci, L.A. Lugiato, and N.B. Abraham, J. Opt. Soc. Am. B, 2, 56 (1985).

    Article  ADS  Google Scholar 

  31. L.W. Casperson, J. Opt. Soc. Am. B, 2, 62 (1985); 2, 73 (1985), in Optical Instabilities, R.W. Boyd, M.G. Raymer and L.M. Narducci, eds., (Cambridge U. Press, Cambridge, 1986).

    Article  ADS  Google Scholar 

  32. J.Y. Zhang, H. Haken and H. Ohno, J. Opt. Soc. Am. B, 2, 141 (1985).

    Article  ADS  Google Scholar 

  33. H.M. Gibbs, F.A. Hopf, D.L. Kaplan and R.L. Shoemaker, Phys. Rev. Lett., 46, 474 (1981).

    Article  ADS  Google Scholar 

  34. R. Vallée, C. Delisle, and J. Chrostowski, Phys. Rev. A, 30, 336 (1984)

    Article  ADS  Google Scholar 

  35. R. Vallée and C. Delisle, IEEE J. Quantum Electron. QE=21, 1423 (1985); Phys. Rev. A, 31, 2390 (1985); 34, 309 (1986).

    Article  ADS  Google Scholar 

  36. F.T. Arecchi (in this volume); and in Instabilities and Chaos in Quantum Optics, F.T. Arecchi and R. Harrison, eds., (Springer, NY 1987) pp. 9-48.

    Google Scholar 

  37. J.W. Swift, and K. Wiesenfeld, Phys. Rev. Lett. 52, 705 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  38. P. Coullet and C. Vanneste, Hel. Phys. Acat, 56, 813 (1983) and in the Synergetics Workshop at Schloss Elmau, 1984

    Google Scholar 

  39. Y. Kuramoto and S. Koga, Phys. Lett., 92A, 1–4 (1982).

    MathSciNet  ADS  Google Scholar 

  40. J.P. Eckmann, Rev. Mod. Phys., 53, 643 (1981)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  41. P. Cvitanovic (ed.), Universality in Chaos, (Hilger, London, 1984) and Acta Phys. Polonica A, 65, 203 (1984)

    MATH  Google Scholar 

  42. P. Berge, Y. Pomeau, C. Vidal, L’Ordre dans 1e chaos: vers une approche deterministe de la turbulence (Hermann, H. Schuster, Paris, 1985).

    Google Scholar 

  43. P. Grassberger and I. Procaccia, Phys. Rev. A, 28., 2591 (1983); Phys. Rev. Lett., 50, 346 (1983); Physica, 9D, 189 (1983); Physica, 13D, 34 (1984)

    Article  ADS  Google Scholar 

  44. A. Ben Mizrachi, I. Procaccia, P. Grassberger, Phys. Rev. A, 29, 97 (1985)

    Google Scholar 

  45. A. Cohen and I. Procaccia, Phys. Rev. A, 31, 1872 (1985)

    Article  ADS  Google Scholar 

  46. J.D. Farmer, E. Ott, and J. Yorke, Physica, 7D, 153 (1983)

    MathSciNet  ADS  Google Scholar 

  47. J.D. Farmer in Fluctuations and Sensitivity in Nonequilibrium Systems, W. Horsthemke and D.K. Kondepudi, eds., Springer Proc. in Physics, Vol. 1 (Springer, Berlin, 1984) p. 172.

    Chapter  Google Scholar 

  48. Dimensions and Entropies in Chaotic Systems, G. Mayer-Kress, ed. (Springer-Verlag, Berlin, 1986).

    Google Scholar 

  49. N.B. Abraham, A.M. Albano, B. Das, G.C. de Guzman, S. Yong, R.S. Gioggia, G.P. Puccioni and J.R. Tredicce, Phys. Lett., 114A, 217 (1986)

    ADS  Google Scholar 

  50. N.B. Abraham, A.M. Albano, G.C. de Guzman, M.F.H. Tarroja, S. Yong, S.P. Adams and R.S. Gioggia, in Perspectives in Nonlinear Dynamics, M.F. Shlesinger, R.W. Cawley, A.W. Saenz and W. Zachary, eds., (World Scientific, Singapore, 1986) p. 214.

    Google Scholar 

  51. D.S. Broomhead and G.P. King, Physica 20D, 217 (1986); and in Nonlinear Phenomena and Chaos, S. Sarkar, ed., (Adam Hilger, Bristol, 1986).

    MathSciNet  ADS  Google Scholar 

  52. A.M. Albano, A.I. Mees, G.C. de Guzman and P.E. Rapp, in Chaotic Biological Systems, A.V. Holden, ed., (Pergammon Press, Oxford, to be published).

    Google Scholar 

  53. A.M. Albano, J. Muench, C. Schwartz, P.E. Rapp, and A.I. Mees, “Singular-value decomposition and the Grassberger-Procaccia algorithm”, preprint, October 1987.

    Google Scholar 

  54. R.S. Gioggia, N.B. Abraham, W.E. Lange, M.F.H. Tarroja, and J.C. Wesson, J. Opt. Soc. Am. B, 5, to be published (1988).

    Google Scholar 

  55. N.B. Abraham, A.M. Albano, B. Das and M.F.H. Tarroja, in Fundamentals of Quantum Optics II, F. Ehlotsky, ed., (Springer-Verlag, Berlin, 1987).

    Google Scholar 

  56. M.F.H. Tarroja, Ph.D. Thesis, Bryn Mawr College 1988.

    Google Scholar 

  57. A.V. Uspenskii, Radio Eng. and Electron. Phys. (USSR), 8, 1145 (1963); 9, 605 (1964)

    Google Scholar 

  58. V.V. Korobkin and A.V. Uspenskii, Sov. Phys. JETP, 18, 693 (1964); A.Z. Grazyuk and A.N. Oraevskii, in Quantum Electronics and Coherent Light, P.A. Miles, ed., (Academic Press, NY, 1964)

    Google Scholar 

  59. H. Haken, Z. Phys., 190, 327 (1966)

    Article  MathSciNet  ADS  Google Scholar 

  60. H. Risken, C. Schmidt and W. Weidlich, Z. Phys., 194, 337 (1966)

    Article  ADS  Google Scholar 

  61. H. Haken, Phys. Lett., 53A, 77 (1975)

    ADS  Google Scholar 

  62. E.N. Lorenz, J. Atmos. Sci., 20, 130 (1963)

    Article  ADS  Google Scholar 

  63. C. Sparrow, in Optical Instabilities, R.W. Boyd, M.G. Raymer and L.M. Narducci, eds., (Cambridge U. Press, Cambridge, 1986) p. 72.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Physics, Bryn Mawr College, Bryn Mawr, PA, 19010, USA

    N. B. Abraham & M. F. H. Tarroja

  2. Department of Physics, Widener University, Chester, PA, 19013, USA

    R. S. Gioggia

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  1. N. B. Abraham
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  2. M. F. H. Tarroja
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  3. R. S. Gioggia
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Editors and Affiliations

  1. Bryn Mawr College, Bryn Mawr, Pennsylvania, USA

    N. B. Abraham

  2. University of Florence and National Institute of Optics, Florence, Italy

    F. T. Arecchi

  3. Turin Polytechnic, Turin, Italy

    L. A. Lugiato

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Abraham, N.B., Tarroja, M.F.H., Gioggia, R.S. (1988). Experimental Studies of Instabilities and Chaos in Single-Mode, Inhomogeneously Broadened Gas Lasers. In: Abraham, N.B., Arecchi, F.T., Lugiato, L.A. (eds) Instabilities and Chaos in Quantum Optics II. NATO ASI Series, vol 177. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2548-0_7

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  • DOI: https://doi.org/10.1007/978-1-4899-2548-0_7

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