Abstract

The mode-locking capability of the double-pass nonlinear mirror in dependence on phase mismatch in crystal and the relative phase shift between two passes are studied. The regions of the most efficient pulse shortening on the plane of these parameters are determined both theoretically and experimentally. Their locations are dependent on a light intensity and occupy the area substantially detuned from phase-matching conditions in crystal and pure downconversion conditions for interpass phase shift. It is shown that the possibility of stable pulse formation exists provided that a certain intensity threshold is achieved.

© 1998 Optical Society of America

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References

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  1. K. A. Stankov, “A mirror with intensity-dependent reflection coefficient,” Appl. Phys. B: Photophys. Laser Chem. 45, 191–195 (1988).
    [CrossRef]
  2. K. Stankov, V. Kubecek, and K. Hamal, “Mode locking of a Nd:YAlO3 laser at 1.08 and 1.34 μm wavelength using a single LiIO3 crystal,” IEEE J. Quantum Electron. 27, 2135–2141 (1991).
    [CrossRef]
  3. M. B. Danailov, G. Cerrullo, V. Magni, D. Segala, and S. De Silvestri, “Nonlinear mirror mode locking of a cw Nd:YLF laser,” Opt. Lett. 19, 792–794 (1994).
    [CrossRef] [PubMed]
  4. G. Cerrulo, M. B. Danailov, S. De Silvestri, P. Laporta, V. Magni, D. Segala, and S. Taccheo, “A diode-pumped nonlinear mirror mode-locked Nd:YAG laser,” Appl. Phys. Lett. 65, 2392–2394 (1994).
    [CrossRef]
  5. G. Cerrullo, S. De Silvestri, A. Monguzzi, D. Segala, and V. Magni, “Self-starting mode locking of a cw Nd:YAG laser using cascaded second-order nonlinearities,” Opt. Lett. 20, 746–748 (1995).
    [CrossRef]
  6. I. Buchvarov, S. Saltiel, and S. Gagarskii, “Nonlinear doubling mode-locking of feedback controlled pulsed Nd:YAG laser,” Opt. Commun. 118, 51–54 (1995).
    [CrossRef]
  7. D. J. Hagan, Z. Wang, G. Stegeman, E. W. Van Stryland, M. Sheik-Bahae, and G. Assanto, “Phase-controlled transistor action by cascading of second-order nonlinearities in KTP,” Opt. Lett. 19, 1305–1307 (1994).
    [CrossRef] [PubMed]
  8. G. I. Stegeman, D. J. Hagan, and L. Torner, “χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).
    [CrossRef]
  9. Y. Baek, R. Schiek, and G. I. Stegeman, “All optical switching in a hybrid Mach–Zehnder interferometer as a result of cascaded second-order nonlinearity,” Opt. Lett. 20, 2168–2170 (1995).
    [CrossRef]
  10. G. Assanto, G. I. Stegeman, M. Sheik-Bahae, and E. Van Stryland, “Coherent interaction for all-optical signal processing via quadratic nonlinearities,” IEEE J. Quantum Electron. 31, 673–681 (1995).
    [CrossRef]
  11. R. De Salvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, “Self-focusing and self-defocusing by cascaded second order effects in KTP,” Opt. Lett. 15, 28–30 (1992).
    [CrossRef]
  12. D. Pierrottet, B. Berman, M. Vannini, and D. McGraw, “Parametric lens,” Opt. Lett. 18, 263–265 (1993).
    [CrossRef] [PubMed]
  13. S. Saltiel, K. Koynov, and I. Buchvarov, “Analytical and numerical investigation of opto-optical phase modulation based on coupled second-order nonlinear processes,” Bulg. J. Phys. 22, 39–47 (1995).
  14. K. Koynov, S. Saltiel, and I. Buchvarov, “All-optical switching by means of interferometer with nonlinear frequency doubling mirrors,” J. Opt. Soc. Am. B 14, 834–838 (1997).
    [CrossRef]
  15. O. V. Chekhlov and V. A. Zaporozhchenko, in Conference on Lasers and Electro-Optics, Vol. 9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C.), paper CThL5, p. 442.
  16. P. A. Apanasevich, O. V. Chekhlov, A. V. Kachinskii, I. V. Pilipovich, R. G. Zaporozhchenko, and V. A. Zaporozhchenko, “Mode-coupling phenomena in intracavity second harmonic generation,” Opt. Commun. 51, 289–293 (1984).
    [CrossRef]
  17. P. A. Apanasevich, R. G. Zaporozhchenko, V. A. Zaporozhchenko, A. V. Kachinskii, V. A. Mukha, I. V. Pilipovich, and O. V. Chekhlov, “Some laws governing intracavity second harmonic generation,” Sov. J. Quantum Electron. 16, 745–748 (1986).
    [CrossRef]

1997 (1)

1996 (1)

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).
[CrossRef]

1995 (5)

Y. Baek, R. Schiek, and G. I. Stegeman, “All optical switching in a hybrid Mach–Zehnder interferometer as a result of cascaded second-order nonlinearity,” Opt. Lett. 20, 2168–2170 (1995).
[CrossRef]

G. Assanto, G. I. Stegeman, M. Sheik-Bahae, and E. Van Stryland, “Coherent interaction for all-optical signal processing via quadratic nonlinearities,” IEEE J. Quantum Electron. 31, 673–681 (1995).
[CrossRef]

G. Cerrullo, S. De Silvestri, A. Monguzzi, D. Segala, and V. Magni, “Self-starting mode locking of a cw Nd:YAG laser using cascaded second-order nonlinearities,” Opt. Lett. 20, 746–748 (1995).
[CrossRef]

I. Buchvarov, S. Saltiel, and S. Gagarskii, “Nonlinear doubling mode-locking of feedback controlled pulsed Nd:YAG laser,” Opt. Commun. 118, 51–54 (1995).
[CrossRef]

S. Saltiel, K. Koynov, and I. Buchvarov, “Analytical and numerical investigation of opto-optical phase modulation based on coupled second-order nonlinear processes,” Bulg. J. Phys. 22, 39–47 (1995).

1994 (3)

1993 (1)

1992 (1)

R. De Salvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, “Self-focusing and self-defocusing by cascaded second order effects in KTP,” Opt. Lett. 15, 28–30 (1992).
[CrossRef]

1991 (1)

K. Stankov, V. Kubecek, and K. Hamal, “Mode locking of a Nd:YAlO3 laser at 1.08 and 1.34 μm wavelength using a single LiIO3 crystal,” IEEE J. Quantum Electron. 27, 2135–2141 (1991).
[CrossRef]

1988 (1)

K. A. Stankov, “A mirror with intensity-dependent reflection coefficient,” Appl. Phys. B: Photophys. Laser Chem. 45, 191–195 (1988).
[CrossRef]

1986 (1)

P. A. Apanasevich, R. G. Zaporozhchenko, V. A. Zaporozhchenko, A. V. Kachinskii, V. A. Mukha, I. V. Pilipovich, and O. V. Chekhlov, “Some laws governing intracavity second harmonic generation,” Sov. J. Quantum Electron. 16, 745–748 (1986).
[CrossRef]

1984 (1)

P. A. Apanasevich, O. V. Chekhlov, A. V. Kachinskii, I. V. Pilipovich, R. G. Zaporozhchenko, and V. A. Zaporozhchenko, “Mode-coupling phenomena in intracavity second harmonic generation,” Opt. Commun. 51, 289–293 (1984).
[CrossRef]

Apanasevich, P. A.

P. A. Apanasevich, R. G. Zaporozhchenko, V. A. Zaporozhchenko, A. V. Kachinskii, V. A. Mukha, I. V. Pilipovich, and O. V. Chekhlov, “Some laws governing intracavity second harmonic generation,” Sov. J. Quantum Electron. 16, 745–748 (1986).
[CrossRef]

P. A. Apanasevich, O. V. Chekhlov, A. V. Kachinskii, I. V. Pilipovich, R. G. Zaporozhchenko, and V. A. Zaporozhchenko, “Mode-coupling phenomena in intracavity second harmonic generation,” Opt. Commun. 51, 289–293 (1984).
[CrossRef]

Assanto, G.

G. Assanto, G. I. Stegeman, M. Sheik-Bahae, and E. Van Stryland, “Coherent interaction for all-optical signal processing via quadratic nonlinearities,” IEEE J. Quantum Electron. 31, 673–681 (1995).
[CrossRef]

D. J. Hagan, Z. Wang, G. Stegeman, E. W. Van Stryland, M. Sheik-Bahae, and G. Assanto, “Phase-controlled transistor action by cascading of second-order nonlinearities in KTP,” Opt. Lett. 19, 1305–1307 (1994).
[CrossRef] [PubMed]

Baek, Y.

Berman, B.

Buchvarov, I.

K. Koynov, S. Saltiel, and I. Buchvarov, “All-optical switching by means of interferometer with nonlinear frequency doubling mirrors,” J. Opt. Soc. Am. B 14, 834–838 (1997).
[CrossRef]

S. Saltiel, K. Koynov, and I. Buchvarov, “Analytical and numerical investigation of opto-optical phase modulation based on coupled second-order nonlinear processes,” Bulg. J. Phys. 22, 39–47 (1995).

I. Buchvarov, S. Saltiel, and S. Gagarskii, “Nonlinear doubling mode-locking of feedback controlled pulsed Nd:YAG laser,” Opt. Commun. 118, 51–54 (1995).
[CrossRef]

Cerrullo, G.

Cerrulo, G.

G. Cerrulo, M. B. Danailov, S. De Silvestri, P. Laporta, V. Magni, D. Segala, and S. Taccheo, “A diode-pumped nonlinear mirror mode-locked Nd:YAG laser,” Appl. Phys. Lett. 65, 2392–2394 (1994).
[CrossRef]

Chekhlov, O. V.

P. A. Apanasevich, R. G. Zaporozhchenko, V. A. Zaporozhchenko, A. V. Kachinskii, V. A. Mukha, I. V. Pilipovich, and O. V. Chekhlov, “Some laws governing intracavity second harmonic generation,” Sov. J. Quantum Electron. 16, 745–748 (1986).
[CrossRef]

P. A. Apanasevich, O. V. Chekhlov, A. V. Kachinskii, I. V. Pilipovich, R. G. Zaporozhchenko, and V. A. Zaporozhchenko, “Mode-coupling phenomena in intracavity second harmonic generation,” Opt. Commun. 51, 289–293 (1984).
[CrossRef]

Danailov, M. B.

G. Cerrulo, M. B. Danailov, S. De Silvestri, P. Laporta, V. Magni, D. Segala, and S. Taccheo, “A diode-pumped nonlinear mirror mode-locked Nd:YAG laser,” Appl. Phys. Lett. 65, 2392–2394 (1994).
[CrossRef]

M. B. Danailov, G. Cerrullo, V. Magni, D. Segala, and S. De Silvestri, “Nonlinear mirror mode locking of a cw Nd:YLF laser,” Opt. Lett. 19, 792–794 (1994).
[CrossRef] [PubMed]

De Salvo, R.

R. De Salvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, “Self-focusing and self-defocusing by cascaded second order effects in KTP,” Opt. Lett. 15, 28–30 (1992).
[CrossRef]

De Silvestri, S.

Gagarskii, S.

I. Buchvarov, S. Saltiel, and S. Gagarskii, “Nonlinear doubling mode-locking of feedback controlled pulsed Nd:YAG laser,” Opt. Commun. 118, 51–54 (1995).
[CrossRef]

Hagan, D. J.

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).
[CrossRef]

D. J. Hagan, Z. Wang, G. Stegeman, E. W. Van Stryland, M. Sheik-Bahae, and G. Assanto, “Phase-controlled transistor action by cascading of second-order nonlinearities in KTP,” Opt. Lett. 19, 1305–1307 (1994).
[CrossRef] [PubMed]

R. De Salvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, “Self-focusing and self-defocusing by cascaded second order effects in KTP,” Opt. Lett. 15, 28–30 (1992).
[CrossRef]

Hamal, K.

K. Stankov, V. Kubecek, and K. Hamal, “Mode locking of a Nd:YAlO3 laser at 1.08 and 1.34 μm wavelength using a single LiIO3 crystal,” IEEE J. Quantum Electron. 27, 2135–2141 (1991).
[CrossRef]

Kachinskii, A. V.

P. A. Apanasevich, R. G. Zaporozhchenko, V. A. Zaporozhchenko, A. V. Kachinskii, V. A. Mukha, I. V. Pilipovich, and O. V. Chekhlov, “Some laws governing intracavity second harmonic generation,” Sov. J. Quantum Electron. 16, 745–748 (1986).
[CrossRef]

P. A. Apanasevich, O. V. Chekhlov, A. V. Kachinskii, I. V. Pilipovich, R. G. Zaporozhchenko, and V. A. Zaporozhchenko, “Mode-coupling phenomena in intracavity second harmonic generation,” Opt. Commun. 51, 289–293 (1984).
[CrossRef]

Koynov, K.

K. Koynov, S. Saltiel, and I. Buchvarov, “All-optical switching by means of interferometer with nonlinear frequency doubling mirrors,” J. Opt. Soc. Am. B 14, 834–838 (1997).
[CrossRef]

S. Saltiel, K. Koynov, and I. Buchvarov, “Analytical and numerical investigation of opto-optical phase modulation based on coupled second-order nonlinear processes,” Bulg. J. Phys. 22, 39–47 (1995).

Kubecek, V.

K. Stankov, V. Kubecek, and K. Hamal, “Mode locking of a Nd:YAlO3 laser at 1.08 and 1.34 μm wavelength using a single LiIO3 crystal,” IEEE J. Quantum Electron. 27, 2135–2141 (1991).
[CrossRef]

Laporta, P.

G. Cerrulo, M. B. Danailov, S. De Silvestri, P. Laporta, V. Magni, D. Segala, and S. Taccheo, “A diode-pumped nonlinear mirror mode-locked Nd:YAG laser,” Appl. Phys. Lett. 65, 2392–2394 (1994).
[CrossRef]

Magni, V.

McGraw, D.

Monguzzi, A.

Mukha, V. A.

P. A. Apanasevich, R. G. Zaporozhchenko, V. A. Zaporozhchenko, A. V. Kachinskii, V. A. Mukha, I. V. Pilipovich, and O. V. Chekhlov, “Some laws governing intracavity second harmonic generation,” Sov. J. Quantum Electron. 16, 745–748 (1986).
[CrossRef]

Pierrottet, D.

Pilipovich, I. V.

P. A. Apanasevich, R. G. Zaporozhchenko, V. A. Zaporozhchenko, A. V. Kachinskii, V. A. Mukha, I. V. Pilipovich, and O. V. Chekhlov, “Some laws governing intracavity second harmonic generation,” Sov. J. Quantum Electron. 16, 745–748 (1986).
[CrossRef]

P. A. Apanasevich, O. V. Chekhlov, A. V. Kachinskii, I. V. Pilipovich, R. G. Zaporozhchenko, and V. A. Zaporozhchenko, “Mode-coupling phenomena in intracavity second harmonic generation,” Opt. Commun. 51, 289–293 (1984).
[CrossRef]

Saltiel, S.

K. Koynov, S. Saltiel, and I. Buchvarov, “All-optical switching by means of interferometer with nonlinear frequency doubling mirrors,” J. Opt. Soc. Am. B 14, 834–838 (1997).
[CrossRef]

S. Saltiel, K. Koynov, and I. Buchvarov, “Analytical and numerical investigation of opto-optical phase modulation based on coupled second-order nonlinear processes,” Bulg. J. Phys. 22, 39–47 (1995).

I. Buchvarov, S. Saltiel, and S. Gagarskii, “Nonlinear doubling mode-locking of feedback controlled pulsed Nd:YAG laser,” Opt. Commun. 118, 51–54 (1995).
[CrossRef]

Schiek, R.

Segala, D.

Sheik-Bahae, M.

G. Assanto, G. I. Stegeman, M. Sheik-Bahae, and E. Van Stryland, “Coherent interaction for all-optical signal processing via quadratic nonlinearities,” IEEE J. Quantum Electron. 31, 673–681 (1995).
[CrossRef]

D. J. Hagan, Z. Wang, G. Stegeman, E. W. Van Stryland, M. Sheik-Bahae, and G. Assanto, “Phase-controlled transistor action by cascading of second-order nonlinearities in KTP,” Opt. Lett. 19, 1305–1307 (1994).
[CrossRef] [PubMed]

R. De Salvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, “Self-focusing and self-defocusing by cascaded second order effects in KTP,” Opt. Lett. 15, 28–30 (1992).
[CrossRef]

Stankov, K.

K. Stankov, V. Kubecek, and K. Hamal, “Mode locking of a Nd:YAlO3 laser at 1.08 and 1.34 μm wavelength using a single LiIO3 crystal,” IEEE J. Quantum Electron. 27, 2135–2141 (1991).
[CrossRef]

Stankov, K. A.

K. A. Stankov, “A mirror with intensity-dependent reflection coefficient,” Appl. Phys. B: Photophys. Laser Chem. 45, 191–195 (1988).
[CrossRef]

Stegeman, G.

D. J. Hagan, Z. Wang, G. Stegeman, E. W. Van Stryland, M. Sheik-Bahae, and G. Assanto, “Phase-controlled transistor action by cascading of second-order nonlinearities in KTP,” Opt. Lett. 19, 1305–1307 (1994).
[CrossRef] [PubMed]

R. De Salvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, “Self-focusing and self-defocusing by cascaded second order effects in KTP,” Opt. Lett. 15, 28–30 (1992).
[CrossRef]

Stegeman, G. I.

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).
[CrossRef]

Y. Baek, R. Schiek, and G. I. Stegeman, “All optical switching in a hybrid Mach–Zehnder interferometer as a result of cascaded second-order nonlinearity,” Opt. Lett. 20, 2168–2170 (1995).
[CrossRef]

G. Assanto, G. I. Stegeman, M. Sheik-Bahae, and E. Van Stryland, “Coherent interaction for all-optical signal processing via quadratic nonlinearities,” IEEE J. Quantum Electron. 31, 673–681 (1995).
[CrossRef]

Taccheo, S.

G. Cerrulo, M. B. Danailov, S. De Silvestri, P. Laporta, V. Magni, D. Segala, and S. Taccheo, “A diode-pumped nonlinear mirror mode-locked Nd:YAG laser,” Appl. Phys. Lett. 65, 2392–2394 (1994).
[CrossRef]

Torner, L.

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).
[CrossRef]

Van Stryland, E.

G. Assanto, G. I. Stegeman, M. Sheik-Bahae, and E. Van Stryland, “Coherent interaction for all-optical signal processing via quadratic nonlinearities,” IEEE J. Quantum Electron. 31, 673–681 (1995).
[CrossRef]

Van Stryland, E. W.

D. J. Hagan, Z. Wang, G. Stegeman, E. W. Van Stryland, M. Sheik-Bahae, and G. Assanto, “Phase-controlled transistor action by cascading of second-order nonlinearities in KTP,” Opt. Lett. 19, 1305–1307 (1994).
[CrossRef] [PubMed]

R. De Salvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, “Self-focusing and self-defocusing by cascaded second order effects in KTP,” Opt. Lett. 15, 28–30 (1992).
[CrossRef]

Vanherzeele, H.

R. De Salvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, “Self-focusing and self-defocusing by cascaded second order effects in KTP,” Opt. Lett. 15, 28–30 (1992).
[CrossRef]

Vannini, M.

Wang, Z.

Zaporozhchenko, R. G.

P. A. Apanasevich, R. G. Zaporozhchenko, V. A. Zaporozhchenko, A. V. Kachinskii, V. A. Mukha, I. V. Pilipovich, and O. V. Chekhlov, “Some laws governing intracavity second harmonic generation,” Sov. J. Quantum Electron. 16, 745–748 (1986).
[CrossRef]

P. A. Apanasevich, O. V. Chekhlov, A. V. Kachinskii, I. V. Pilipovich, R. G. Zaporozhchenko, and V. A. Zaporozhchenko, “Mode-coupling phenomena in intracavity second harmonic generation,” Opt. Commun. 51, 289–293 (1984).
[CrossRef]

Zaporozhchenko, V. A.

P. A. Apanasevich, R. G. Zaporozhchenko, V. A. Zaporozhchenko, A. V. Kachinskii, V. A. Mukha, I. V. Pilipovich, and O. V. Chekhlov, “Some laws governing intracavity second harmonic generation,” Sov. J. Quantum Electron. 16, 745–748 (1986).
[CrossRef]

P. A. Apanasevich, O. V. Chekhlov, A. V. Kachinskii, I. V. Pilipovich, R. G. Zaporozhchenko, and V. A. Zaporozhchenko, “Mode-coupling phenomena in intracavity second harmonic generation,” Opt. Commun. 51, 289–293 (1984).
[CrossRef]

Appl. Phys. B: Photophys. Laser Chem. (1)

K. A. Stankov, “A mirror with intensity-dependent reflection coefficient,” Appl. Phys. B: Photophys. Laser Chem. 45, 191–195 (1988).
[CrossRef]

Appl. Phys. Lett. (1)

G. Cerrulo, M. B. Danailov, S. De Silvestri, P. Laporta, V. Magni, D. Segala, and S. Taccheo, “A diode-pumped nonlinear mirror mode-locked Nd:YAG laser,” Appl. Phys. Lett. 65, 2392–2394 (1994).
[CrossRef]

Bulg. J. Phys. (1)

S. Saltiel, K. Koynov, and I. Buchvarov, “Analytical and numerical investigation of opto-optical phase modulation based on coupled second-order nonlinear processes,” Bulg. J. Phys. 22, 39–47 (1995).

IEEE J. Quantum Electron. (2)

K. Stankov, V. Kubecek, and K. Hamal, “Mode locking of a Nd:YAlO3 laser at 1.08 and 1.34 μm wavelength using a single LiIO3 crystal,” IEEE J. Quantum Electron. 27, 2135–2141 (1991).
[CrossRef]

G. Assanto, G. I. Stegeman, M. Sheik-Bahae, and E. Van Stryland, “Coherent interaction for all-optical signal processing via quadratic nonlinearities,” IEEE J. Quantum Electron. 31, 673–681 (1995).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Commun. (2)

P. A. Apanasevich, O. V. Chekhlov, A. V. Kachinskii, I. V. Pilipovich, R. G. Zaporozhchenko, and V. A. Zaporozhchenko, “Mode-coupling phenomena in intracavity second harmonic generation,” Opt. Commun. 51, 289–293 (1984).
[CrossRef]

I. Buchvarov, S. Saltiel, and S. Gagarskii, “Nonlinear doubling mode-locking of feedback controlled pulsed Nd:YAG laser,” Opt. Commun. 118, 51–54 (1995).
[CrossRef]

Opt. Lett. (6)

Opt. Quantum Electron. (1)

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).
[CrossRef]

Sov. J. Quantum Electron. (1)

P. A. Apanasevich, R. G. Zaporozhchenko, V. A. Zaporozhchenko, A. V. Kachinskii, V. A. Mukha, I. V. Pilipovich, and O. V. Chekhlov, “Some laws governing intracavity second harmonic generation,” Sov. J. Quantum Electron. 16, 745–748 (1986).
[CrossRef]

Other (1)

O. V. Chekhlov and V. A. Zaporozhchenko, in Conference on Lasers and Electro-Optics, Vol. 9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C.), paper CThL5, p. 442.

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Figures (6)

Fig. 1
Fig. 1

Experimental laser setup: A-O ML, acousto-optics mode locker; E-O, DKDP electro-optical crystal; PD, photodiode of a negative feedback circuit; Ampl., high-voltage amplifier; LiIO3, intracavity frequency doubler; NC, nonlinear crystal; FF, SH, and D-P SH, photodiodes indicating the light flux on the fundamental frequency the extracavity second harmonic, and the double-pass second harmonic, respectively.

Fig. 2
Fig. 2

Map of the local NLM reflectivity maxima at l/Lnl =0.125 (■), 1.0 (○), 1.4 (△), and 2.0 (+). The dotted lines correspond to a low-intensity limit approximation.

Fig. 3
Fig. 3

Experimentally measured dependences on the phase mismatching at a crystal–mirror distance of 90 mm for normalized signals of the laser output (solid curve), the output second harmonic (●), and the intracavity double-pass second harmonic (△) for (a) low and (b) high pump levels.

Fig. 4
Fig. 4

Contour plots of the NLM reflectivity excess above R1 (shadow) and the pulse-shortening parameter τ/τ0 (contour lines).

Fig. 5
Fig. 5

NLM reflectivity Rnlm dependence on the phase mismatch in the crystal for half of the Gaussian pulse at (a) ϕ =-1.5π, l/Lnl=1.4, (b) the corresponding contour plot, and (c) the contour plot for ϕ=-1.5π, l/Lnl=0.7. The dotted lines in (b) bound a range of the most efficient pulse shortening.

Fig. 6
Fig. 6

Nonlinearity dependences of NLM reflectivity Rnlm (lower set of curves) and the corresponding pulse-shortening parameter (upper) of the important (Δkl, ϕ) points.

Equations (10)

Equations on this page are rendered with MathJax. Learn more.

dEidz=iγn2n1 E2E1* exp(-iΔkz),
dE2dz=iγn1n2 E12 exp(iΔkz),
E1(1)(0, t)=E10,E2(1)(0, t)=0.
E1(2)(0, t)=E1(1)(l, t)R1,
E2(2)(0, t)=exp(iϕ)E2(1)(l, t)R2.
E2(2)(l, t)=E102γln1n2 exp[i(Δkl+π)/2] sin(Δkl/2)Δkl/2×{R1+R2 exp[i(Δkl+ϕ)]},
F(Δkl, ϕ)=sin(Δkl/2)Δkl/22×[R12+R2+2R1R2 cos(Δkl+ϕ)].
4sin(Δkl/2)Δkl/22 cos2[(Δkl+ϕ)/2]
Δkl=2πn,(n=±1, ±2, ),
Δkl+ϕ=(2n+1)π,(n=0, ±1, ±2, ).

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