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Theoretical investigation of noncollinear phase-matched parametric four-photon amplification of ultrashort light pulses in isotropic media

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Abstract

The amplification of light signals (angular frequency ωS in some isotropic media (D2O, fused silica, and Schott type SF10 glasses) by noncollinear phase-matched parametric four-photon interaction ω1+ω2→ωS+ω1 is studied theoretically. Computer simulations are carried out for fundamental and second-harmonic pump pulses of a mode-locked Nd: glass laser. Degenerate interaction (wavelength λ1=λ2=1054nm or 527 nm) and nondegenerate interaction (λ1=1054nm, λ2=527 nm are considered. Characteristic phase-matching parameters and gain parameters versus wavelength are determined. Limitations by spectral bandwidth, optical absorption, optical damage, self-phase modulation, self-focusing and stimulated Raman scattering are analysed.

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References

  1. Y. R. SHEN, The Principles of Nonlinear Optics (Wiley, New York, 1984).

    Google Scholar 

  2. M. SCHUBERT and B. WILHELMI, Nonlinear Optics and Quantum Electronics (Wiley, New York, 1986).

    Google Scholar 

  3. A. LAUBEREAU, in Ultrashort Laser Pulses and Applications, edited by W. Kaiser, Topics in Applied Physics, Vol. 60 (Springer-Verlag, Berlin, 1988) p. 35.

    Google Scholar 

  4. V. G. DIMITRIEV, G. G. GURZADYAN and D. N. MIKOGOSYAN, Handbook of Nonlinear Optical Crystals, Springer Series in Optical Sciences, Vol. 64 (Springer-Verlag, Berlin, 1991).

    Google Scholar 

  5. S. A. AKHMANOV, V. A. VYSLOUKH and A. S. CHIRKIN, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992), p. 137.

    Google Scholar 

  6. J. F. REINTJES, Nonlinear Optical Parametric Processes in Liquids and Gases (Academic Press, Orlando, 1984).

    Google Scholar 

  7. D. C. HANNA, A. YURATICH and D. COTTER, Nonlinear Optics of Free Atoms and Molecules (Springer-Verlag, New York, 1979).

    Google Scholar 

  8. S. CHEMLA and J. ZYSS, Nonlinear Optical Properties of Organic Molecules and Crystals, Vols 1 and 2 (Academic Press, Orlando, 1988).

    Google Scholar 

  9. P. N. PRASAD and D. J. WILLIAMS, Introduction to Nonlinear Optical Effects in Molecules and Polymers (Wiley, New York, 1991).

    Google Scholar 

  10. G. P. AGRAWAL, Nonlinear Fiber Optics (Academic Press, Boston, 1989).

    Google Scholar 

  11. R. R. ALFANO (ed.), The Supercontinuum Laser Sorce (Springer-Verlag, New York, 1989).

    Google Scholar 

  12. A. PENZKOFER and W. KAISER, Opt. Quantum Electron. 9 (1977) 315.

    Google Scholar 

  13. R. H. STOLEN and J. E. BJORKHOLM, IEEE J. Quantum Electron. QE-18 (1982) 1062.

    Google Scholar 

  14. P. WEIDNER and A. PENZKOFER, Opt. Quantum Electron. 25 (1993) 1.

    Google Scholar 

  15. A. PENZKOFER, A. BEIDOUN and H. J. LEHMEIER, Opt. Quantum Electron. 25 (1993) 317.

    Google Scholar 

  16. W. MARGULIS and U. ÖSTERBERG, Opt. Lett. 12 (1987) 519.

    Google Scholar 

  17. F. S. TOMKINS and R. MAHON, Opt. Lett. 6 (1981) 179.

    Google Scholar 

  18. J. BOKOR, R. R. FREEMAN, R. L. PANOCK and J. C. WHITE, Opt. Lett. 6 (1981) 182.

    Google Scholar 

  19. L. S. GAIDA, I. S. ZEILIKOVICH and S. A. PULKIN, Opt. Spectrosc. (USSR) 64 (1988) 417.

    Google Scholar 

  20. L. S. GAIDA, S. A. PULKIN, I. S. ZEILIKOVICH and E. E. FRANKLIN, Opt. Spectrosc. (USSR) 65 (1988) 478.

    Google Scholar 

  21. V. VAICHAITIS, A. PISKARSKAS and A. UMBRASAS, Sov. J. Quantum Electron. 24 (1992) 815.

    Google Scholar 

  22. R. H. STOLEN, J. E. BJORKHOLM and A. ASHKIN, Appl. Phys. Lett. 24 (1974) 308.

    Google Scholar 

  23. K. WASHIO, K. INOUE and S. KISHIDA, Electron. Lett. 16 (1980) 658.

    Google Scholar 

  24. M. C. FARRIES, P. R. MORKEL and J. E. TOWNSEND, Electron. Lett. 24 (1988) 709.

    Google Scholar 

  25. D. C. HANNA, R. M. PERCIVAL, I. R. PERRY, R. G. SMART, P. J. SUNI, J. E. TOWNSEND and A. C. TROPPER, Electron. Lett. 24 (1988) 1111.

    Google Scholar 

  26. J. K. CHEE and J. M. LIU, Opt. Lett. 14 (1989) 820.

    Google Scholar 

  27. R. L. CARMAN, R. Y. CHIAO and P. L. KELLEY, Phys. Rev. Lett. 17 (1966) 1281.

    Google Scholar 

  28. D. J. HARTER, P. NARUM, M. G. RAYMER and R. W. BOYD, Phys. Rev. Lett. 46 (1981) 1192.

    Google Scholar 

  29. I. S. ZEILIKOVICH, S. A. PULKIN and L. S. GAIDA, Sov. Phys. JETP 60 (1984) 72.

    Google Scholar 

  30. I. S. ZEILIKOVICH, L. S. GAIDA, S. A. PULKIN and I. S. KOMAR, Opt. Spectrosc. 68 (1990) 385.

    Google Scholar 

  31. J. FRAHM and R. FISCHER, Ann. Phys. 31 (1974) 143.

    Google Scholar 

  32. A. VATARESCU, J. Lightwave Technol. LT-5 (1987) 1652.

    Google Scholar 

  33. S. J. GARTH, Appl. Opt. 31 (1992) 742.

    Google Scholar 

  34. S. TRILLO and S. WABNITZ, J. Opt. Soc. Am. B. 9 (1992) 1061.

    Google Scholar 

  35. P. N. BUTCHER and D. COTTER, The Elements of Nonlinear Optics (Cambridge University Press, Cambridge, 1991).

    Google Scholar 

  36. R. W. MINCK, R. W. TERHUNE and C. C. WANG, Appl. Opt. 5 (1966) 1595.

    Google Scholar 

  37. A. PENZKOFER, J. KRAUS and J. SPERKA, Opt. Commun. 37 (1981) 437.

    Google Scholar 

  38. I. GOLUB, Opt. Lett. 15 (1990) 305.

    Google Scholar 

  39. K. CHIKUMA and S. UMEGAKI, J. Opt. Soc. Am. B 7 (1990) 768.

    Google Scholar 

  40. G. I. STEGEMAN, in Contemporary Nonlinear Optics, edited by G. P. Agrawal and R. W. Boyd (Academic Press, Boston, 1992) p. 1.

    Google Scholar 

  41. M. BAYEN, J. Phys. Rad. 3 (1942) 57.

    Google Scholar 

  42. P. P. SETHNA, K. F. PALMER and D. WILLIAMS, J. Opt. Soc. Am. 68 (1978) 815.

    Google Scholar 

  43. Fused quartz and fused silica for optics, Heraeus Quarz brochure 40-1015-079 (Heraeus Quarz, Buford, GA).

  44. M. THALHAMMER and A. PENZKOFER, Appl. Phys. B 32 (1983) 137.

    Google Scholar 

  45. R. W. TERHUNE and P. D. MAKER, in Lasers, Vol. 2, edited by A. K. Levine (Marcel Dekker, New York, 1968) p. 295.

    Google Scholar 

  46. J. DUCUING, in Quantum Optics, edited by R. J. Glauber (Academic Press, London, 1969) p. 421.

    Google Scholar 

  47. A. PENZKOFER, A. LAUBEREAU and W. KAISER, Prog. Quantum Electron. 6 (1979) 55.

    Google Scholar 

  48. J. W. NIBLER and G. V. KNIGHTEN, in Raman Spectroscopy of Gases and Liquids, edited by A. Weber (Springer-Verlag, Berlin, 1979) p. 253.

    Google Scholar 

  49. S. A. J. DRUET and J. P. E. TARAN, Prog. Quantum Electron. 7 (1981) 1.

    Google Scholar 

  50. W. M. TOLLES, J. W. NIBLER, J. R. McDONALD and A. B. HARVEY, Appl. Spectrosc. 31 (1977) 253.

    Google Scholar 

  51. A. PENZKOFER and W. LEUPACHER, Opt. Quantum Electron. 19 (1988) 327.

    Google Scholar 

  52. J. C. DIELS, in Dye Laser Principles with Applications, edited by F. J. Duarte and L. W. Hillman (Academic Press, Boston, 1990) p. 41.

    Google Scholar 

  53. P. L. SHEN and G.-Z. YANG, in The Supercontinuum Laser Source, edited by R. R. Alfano (Springer-Verlag, New York, 1989) p. 1.

    Google Scholar 

  54. P. L. BALDECK, P. P. HO and R. R. ALFANO, in The Supercontinuum Laser Source, edited by R. R. Alfano (Springer-Verlag, New York, 1989) p. 117.

    Google Scholar 

  55. N. BLOEMBERGEN, IEEE J. Quantum Electron. QE-10 (1974) 375.

    Google Scholar 

  56. W. L. SMITH, P. LIU and N. BLOEMBERGEN, Phys. Rev. A 15 (1977) 2396.

    Google Scholar 

  57. H. HACK and N. NEUROTH, Appl. Opt. 21 (1982) 3239.

    Google Scholar 

  58. W. KOECHNER, Solid-State Laser Engineering, 2nd edn (Springer-Verlag, Berlin, 1988) p. 549.

    Google Scholar 

  59. A. J. GLASS and A. H. GUENTHER, Appl. Opt. 18 (1978) 2112.

    Google Scholar 

  60. A. PENZKOFER and W. LEUPACHER, Opt. Quantum Electron. 20 (1988) 227.

    Google Scholar 

  61. O. SVELTO, Prog. Opt. 12 (1974) 1.

    Google Scholar 

  62. B. MEIER, P. WEIDNER and A. PENZKOFER, Appl. Phys. B 51 (1990) 404.

    Google Scholar 

  63. A. PENZKOFER, Opt. Quantum Electron. 23 (1991) 685.

    Google Scholar 

  64. R. H. STOLEN, Proc. IEEE 68 (1980) 1232.

    Google Scholar 

  65. S. S. BALLARD, J. S. BROWDER and J. F. EBERSOLE, in American Institute of Physics Handbook, 3rd edn, edited by D. E. Gray (McGraw-Hill, New York, 1972) p. 69.

    Google Scholar 

  66. Optical Glass, technical information (Schott Glaswerke, Mainz, 1992).

  67. R. H. STOLEN and C. LIN, Phys. Rev. A 17 (1978) 1448.

    Google Scholar 

  68. O. RAHN, M. MAIER and W. KAISER, Opt. Commun. 1 (1969) 109.

    Google Scholar 

  69. D. HEIMAN, R. W. HELLWARTH and D. S. HAMILTON, J. Non-Cryst. Solids 34 (1979) 63.

    Google Scholar 

  70. J. P. HERMANN and M. LEQUIME, in Picosecond Phenomena, edited by C. V. Shank, E. P. Ippen and S. L. Shapiro, Springer Series in Chemical Physics, Vol. 4 (Springer-Verlag, Berlin, 1978) p. 40.

    Google Scholar 

  71. C. FLYTZANIS, in Nonlinear Optical Properties of Organic and Polymeric Materials, edited by D. J. Williams, ACS Symposium Series, Vol. 233 (American Chemical Society, Washington, D.C., 1983) p. 167.

    Google Scholar 

  72. A. MIGUS, A. ANTONETTI, J. ETCHEPARE, D. HULIN and A. ORZAG, J. Opt. Soc. Am. B 2 (1985) 584.

    Google Scholar 

  73. M. HYDE and G. S. BEDDARD, Chem. Phys. 151 (1991) 239.

    Google Scholar 

  74. R. L. FORK, C. V. SHANK, C. A. HIRLIMANN and W. J. TOMLINSON, Opt. Lett. 8 (1983) 1.

    Google Scholar 

  75. W. H. KNOW, M. C. DOWNER, R. L. FORK and C. V. SHANK, Opt. Lett. 9 (1984) 552.

    Google Scholar 

  76. G. R. OLBRIGHT and G. R. HADLEY, J. Opt. Soc. Am. B 6 (1969) 1363.

    Google Scholar 

  77. P. L. BALDECK, P. P. HO and R. R. ALFANO, Rev. Phys. Appl. 22 (1987) 1877.

    Google Scholar 

  78. P. B. CORKUM and C. ROLLAND, Phys. Rev. Lett. 57 (1986) 2268.

    Google Scholar 

  79. P. B. CORKUM and C. ROLLAND, IEEE J. Quantum Electron. 25 (1989) 2634.

    Google Scholar 

  80. R. W. MINCK, R. W. TERHUNE and C. C. WANG, Appl. Opt. 5 (1966) 1595.

    Google Scholar 

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  1. Naturwissenschaftliche Fakultät II - Physik, Universität Regensburg, D-93040, Regensburg, Germany

    A. Penzkofer & H. J. Lehmeier

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  1. A. Penzkofer
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  2. H. J. Lehmeier
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Penzkofer, A., Lehmeier, H.J. Theoretical investigation of noncollinear phase-matched parametric four-photon amplification of ultrashort light pulses in isotropic media. Opt Quant Electron 25, 815–844 (1993). https://doi.org/10.1007/BF00430189

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