Optical and Quantum Electronics

, Volume 28, Issue 4, pp 423–442 | Cite as

Kerr lens effects in a folded-cavity four-mirror linear resonator

  • A. Penzkofer
  • M. Wittmann
  • M. Lorenz
  • E. Siegert
  • S. Macnamara
Papers

Abstract

The Kerr-lens model locking of a folded-cavity four-mirror linear Ti: sapphire laser is simulated by applying the ABCD ray-tracing technique for a Gaussian beam. The intensity dependent Kerr-lens ABCD matrix of the Brewster-plate shaped active medium is derived. A split-step parabolic refractive index model is used. the astigmatism compensation condition is derived from the ABCD ray-tracing. Simulations are carried out for a symmetric resonator and an asymmetric resonator design. Hard-aperture loss mode locking and soft-aperture gain mode locking are discussed. The optimum design parameters (slit position for hard-aperture loss mode locking, pump beam focusing for soft-aperture gain mode locking, gain cavity spacing, gain medium position) for Kerr-lens mode locking are determined.

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References

  1. 1.
    Y. R.SHEN, The Principles of Nonlinear Optics (Wiley, New York, 1984).Google Scholar
  2. 2.
    L. SPINELLI, B. COUILLAUD, N. GOLDBLATT and D. K. NEGUS, Conference on Lasers and Electro-Optics (OSA Technical Digest Series, Vol. 10, 1991) p. CPDP 7.Google Scholar
  3. 3.
    P. N.KEAN, X.ZHU, D. W.CRUST, R. S.GRANT, N.LANGFORD and W.SIBBETT, Opt. Lett. 14 (1989) 39.Google Scholar
  4. 4.
    J.GOODBERLET, J.WANG, J. G.FUJIMOTO and P. A.SCHULZ, Opt. Lett. 14 (1989) 1125.Google Scholar
  5. 5.
    D. E.SPENCE, P. N.KEAN and W.SIBBETT, Opt. Lett. 16 (1991) 42.Google Scholar
  6. 6.
    U.KELLER, W. H.KNOX and H.ROSKOS, Opt. Lett. 15 (1990) 1377.Google Scholar
  7. 7.
    F.SALIN, J.SQUIER and M.PICHÉ, Opt. Lett. 16 (1991) 1674.Google Scholar
  8. 8.
    CH.SPIELMANN, F.KRAUSZ, T.BRABEC, E.WINTNER and A. J.SCHMIDT, Opt. Lett. 16 (1991) 1180.Google Scholar
  9. 9.
    A.MILLER, P.LIKAMWA, B. H. T.CHAI and E. W.VANSTRYLAND, Opt. Lett. 17 (1992) 195.Google Scholar
  10. 10.
    G.GABETTA, D.HUNG, J.JACOBSON, M.RAMASWAMY, E. P.IPPEN and J. G.FUJIMOTO, Opt. Lett. 16 (1991) 1756.Google Scholar
  11. 11.
    U.KELLER, G. W.'T HOOFT, W. H.KNOX and J. E.CUNNINGHAM, Opt. Lett. 16 (1991) 1022.Google Scholar
  12. 12.
    V.PETROV, D.GEORGIEV and U.STAMM, Appl. Phys. Lett. 60 (1992) 1550.Google Scholar
  13. 13.
    B. E.LEMOFF and C. P. J.BARTY, Opt. Lett. 17 (1992) 1367.Google Scholar
  14. 14.
    C.RADZEWICZ, G. W.PEARSON and J. S.KRASINSKI, Opt. Commun. 102 (1993) 464.Google Scholar
  15. 15.
    M. T.ASAKI, C. P.HUANG, D.GARVEY, J.ZHOU, H. C.KAPTEYN and M. M.MURNANE, Opt. Lett. 18 (1993) 977.Google Scholar
  16. 16.
    B.PROCTOR, E.WESTING and F.WISE, Opt. Lett. 18 (1993) 1654.Google Scholar
  17. 17.
    M.RAMASWAMY, M.ULMAN, J.PAYE and J. G.FUJIMOTO, Opt. Lett. 18 (1993) 1822.Google Scholar
  18. 18.
    J.KAFKA, M. L.WATTS and J.-W. J.PIETERSE, IEEE J. Quantum Electron. QE-28 (1992) 2151.Google Scholar
  19. 19.
    Y. M.LIU and P. R.PRUCNAL, IEEE J. Quantum Electron. QE-29 (1993) 2663.Google Scholar
  20. 20.
    A.STINGL, C.SPIELMANN, F.KRAUSZ and R.SZIPOCS, Opt. Lett. 19 (1994) 204.Google Scholar
  21. 21.
    M.LAI, Opt. Lett. 19 (1994) 722.Google Scholar
  22. 22.
    G.CERULLO, S.DESILVESTRI and V.MAGNI, Opt. Lett. 19 (1994) 1040.Google Scholar
  23. 23.
    G. W.PEARSON, C.RADZEVICZ and J. S.KRASINSKI, Proc. SPIE 2116 (1994) 76.Google Scholar
  24. 24.
    M.RAMASWAMY-PAYE and J. G.FUJIMOTO, Opt. Lett. 19 (1994) 1756.Google Scholar
  25. 25.
    C. W.SIDERS, E. W.GAUL, M. C.DOWNER, A.BABINE and A.STEPANOV, Rev. Sci. Instrum. 65 (1994) 3140.Google Scholar
  26. 26.
    C.DEBLONC, Ann. de Phys. 19 (1994) 1.Google Scholar
  27. 27.
    G. P. A.MALCOLM and A. I.FERGUSON, Opt. Lett. 16 (1991) 1967.Google Scholar
  28. 28.
    J. R.LINCOLN and A. I.FERGUSON, Opt. Lett. 19 (1994) 2119.Google Scholar
  29. 29.
    K. X.LIU, C. J.FLOOD, D. R.WALKER and H. M.VANDRIEL, Opt. Lett. 17 (1992) 1361.Google Scholar
  30. 30.
    A.SEAS, V.PETRIĈEVIĈ and R. R.ALFANO, Opt. Lett. 17 (1992) 937.Google Scholar
  31. 31.
    Y.PANG, V.YANOVSKY, F.WISE and B. I.MINKOV, Opt. Lett. 18 (1993) 1168.Google Scholar
  32. 32.
    V.YANOVSKY, Y.PANG, F.WISE and B. I.MINKOV, Opt. Lett. 18 (1993) 1541.Google Scholar
  33. 33.
    J. R.LINCOLN, M. J. P.DYMOTT and A. I.FERGUSON, Opt. Lett. 19 (1994) 1210.Google Scholar
  34. 34.
    P.LIKAMWA, M.SHEIK-BAHAE, H. S.WANG, B. H. T.CHAI and A.MILLER, Proc. SPIE 2116 (1994) 286.Google Scholar
  35. 35.
    P. J.CONLON, Y. P.TONG, P. M. W.FRENCH and J. R.TAYLOR, Opt. Lett. 19 (1994) 1468.Google Scholar
  36. 36.
    S.RUAN, J. M.SUTHERLAND, P. M. W.FRENCH and J. R.TAYLOR, Electron. Lett. 30 (1994) 1601.Google Scholar
  37. 37.
    Y.-F.CHOU, K.-L.DENG and J.WANG, Opt. Lett. 18 (1993) 1247.Google Scholar
  38. 38.
    Y.-F.CHOU, C.-H.LEE and J.WANG, Opt. Lett. 19 (1994) 975.Google Scholar
  39. 39.
    M.SHEIK-BAHAE, A. A.SAID, D. J.HAGAN, M. J.SOILEAU and E. W.VANSTRYLAND, Opt. Eng. 30 (1991) 1228.Google Scholar
  40. 40.
    M.PICHÉ, Opt. Commun. 86 (1991) 156.Google Scholar
  41. 41.
    S.CHEN and J.WANG, Opt. Lett. 16 (1991) 1689.Google Scholar
  42. 42.
    D.HUNG, M.ULMAN, L. H.ACIOLO, H. A.HAUS and J. G.FUJIMOTO, Opt. Lett. 17 (1992) 511.Google Scholar
  43. 43.
    D.GEORGIEV, J.HERRMANN and U.STAMM, Opt. Commun. 92 (1992) 368.Google Scholar
  44. 44.
    T.BRABEC, CH.SPIELMANN, P. F.CURLEY and F.KRAUSZ, Opt. Lett. 17 (1992) 1292.Google Scholar
  45. 45.
    D. R.HEATLEY, A. M.DUNLOP and W. J.FIRTH, Opt. Lett. 18 (1993) 170.Google Scholar
  46. 46.
    J.HERRMANN, Opt. Commun. 98 (1993) 111.Google Scholar
  47. 47.
    A.AGNESI and G. C.REALI, Opt. Lett. 18 (1993) 717.Google Scholar
  48. 48.
    A.AGNESI and G. C.REALI, Opt. Commun. 110 (1994) 109.Google Scholar
  49. 49.
    G.CERULLO, S.DESILVESTRI, V.MAGNI and L.PALLARO, Opt. Lett. 19 (1994) 807.Google Scholar
  50. 50.
    K. H.LIN and W.-F.HSIEH, J. Opt. Soc. Am. B 11 (1994) 737.Google Scholar
  51. 51.
    J.HERRMANN, J. Opt. Soc. Am. B 11 (1994) 498.Google Scholar
  52. 52.
    V.MAGNI, G.CERULLO, S.DESILVESTRI and A.MONGUZZI, J. Opt. Soc. Am. B 12 (1995) 476.Google Scholar
  53. 53.
    K.-H.LIN, Y.LAI and W.-F.HSIEH, J. Opt. Soc. Am. B 12 (1995) 468.Google Scholar
  54. 54.
    V. L.KALASHINKOV, V. P.KALOSHA, V. P.MIKHAILOV and I. G.POLOYKO, J. Opt. Soc. Am B 12 (1995) 462.Google Scholar
  55. 55.
    O.HADERKA, Opt. Lett. 20 (1995) 240.Google Scholar
  56. 56.
    W.SIBBETT, in Ultrafast Processes in Spectrosopy 1991, Institute of Physics Conference Series no. 126 (Institute of Physics, Bristol, 1992) p. 1.Google Scholar
  57. 57.
    P. F.CURLEY and A. I.FERGUSON, Opt. Lett. 16 (1991) 1016.Google Scholar
  58. 58.
    D. E.SPENCE, J. M.EVANS, W. E.SLEAT and W.SIBBETT, Opt. Lett. 16 (1991) 1762.Google Scholar
  59. 59.
    N.SARUKURA, Y.ISHIDE and H.NAKANO, Opt. Lett. 16 (1991) 153.Google Scholar
  60. 60.
    P. M. W.FRENCH, J. A. R.WILLIAMS and J. R.TAYLOR, Opt. Lett. 14 (1989) 1125.Google Scholar
  61. 61.
    P. M. W.FRENCH, D. U.NOSKE, N. H.RIZVI, J. A. R.WILLIAMS and J. R.TAYLOR, Opt. Commun. 83 (1991) 185.Google Scholar
  62. 62.
    W. S.PELOUCH, P. E.POWERS and C. L.TANG, Opt. Lett. 17 (1992) 1581.Google Scholar
  63. 63.
    Y. M.LIU, K. W.SUN, P. R.PRUCNAL and S. A.LYON, Opt. Lett. 17 (1992) 1219.Google Scholar
  64. 64.
    U.EMMERICHS, H. J.BAKKER and H.KURZ, Opt. Commun. 111 (1994) 497.Google Scholar
  65. 65.
    N. H.RIZVI, P. M. W.FRENCH and J. R.TAYLOR, Opt. Lett. 17 (1992) 279.Google Scholar
  66. 66.
    A.YARIV, Quantum Electronics (Wiley, New York, 1975).Google Scholar
  67. 67.
    A.SIEGMAN, Lasers (University Science Books, Mill Valley, CA, 1986).Google Scholar
  68. 68.
    H.KOGELNIK, E. P.IPPEN, A.DIENES and C. V.SHANK, IEEE J. Quant. Electron. QE-8 (1972) 373.Google Scholar
  69. 69.
    H.KOGELNIK and T.LI, Appl. Opt. 13 (1966) 1550.Google Scholar
  70. 70.
    P. W.MILONNI and J. H.EBERLY, Lasers (Wiley, New York, 1988).Google Scholar
  71. 71.
    V.MAGNI, J. Opt. Soc. Am. A 4 (1987) 1962.Google Scholar
  72. 72.
    D. M.KANE, Opt. Commun. 71 (1989) 113.Google Scholar
  73. 73.
    B.MEIER and A.PENZKOFER, Appl. Phys. B 49 (1989) 513.Google Scholar
  74. 74.
    R.ADAIR, L. L.CHASE and S. A.PAYNE, Phys. Rev. B 39 (1989) 3337.Google Scholar
  75. 75.
    W.BÄUMLER and A.PENZKOFER, Opt. Quantum Electron. 24 (1992) 313.Google Scholar
  76. 76.
    A.PENZKOFER, M.WITTMANN, W.BÄUMLER and V.PETROV. Appl. Opt. 31 (1992) 7067.Google Scholar
  77. 77.
    A. A.GRÜTTER, H. P.WEBER and R.DÄNDLIKER, Phys. Rev. 185 (1969) 629.Google Scholar
  78. 78.
    Data sheet on Titanium-doped sapphire, from Union Carbide, 1989.Google Scholar

Copyright information

© Chapman & Hall 1996

Authors and Affiliations

  • A. Penzkofer
    • 1
  • M. Wittmann
    • 1
  • M. Lorenz
    • 1
  • E. Siegert
    • 1
  • S. Macnamara
    • 1
  1. 1.Naturwissenschaftliche Fakultät II-PhysikUniversität RegensburgRegensburgGermany

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