Abstract

Simultaneous phase- and group-velocity-matched generation of ultrashort optical second-harmonic pulses based on a quasi-phase-matched Čerenkov second-harmonic generation scheme is proposed. We compare our scheme with other schemes with respect to its ability to achieve high conversion efficiency, its enhancement with respect to cw second-harmonic generation, and its sensitivity to waveguide-period fluctuation; ion-exchanged KTP and LiNbO3 waveguides are considered in the evaluation. We believe our proposed scheme is easy to implement, and there is no constraint on crystal length in achieving high efficiency as well as in preserving an ultrashort pulse width. 100% efficiency is potentially obtainable from sufficiently long crystals.

© 1994 Optical Society of America

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  1. D. E. Spence, P. N. Kean, W. Sibbett, Opt. Lett. 16, 42 (1991).
    [CrossRef] [PubMed]
  2. J. Comly, E. Garmire, Appl. Phys. Lett. 12, 7 (1968).
    [CrossRef]
  3. R. J. Ellingson, C. L. Tang, Opt. Lett. 17, 343 (1992).
    [CrossRef] [PubMed]
  4. R. A. Cheville, M. T. Reiten, N. J. Halas, Opt. Lett. 17, 1343 (1992).
    [CrossRef] [PubMed]
  5. O. E. Martinez, IEEE J. Quantum Electron. 25, 2464 (1989).
    [CrossRef]
  6. P. K. Tien, R. Ulrich, R. J. Martin, Appl. Phys. Lett. 17, 447 (1970).
    [CrossRef]
  7. J. D. Bierlein, D. B. Laubacher, J. B. Brown, Appl. Phys. Lett. 56, 1725 (1990).
    [CrossRef]
  8. G. A. Magle, M. M. Fejer, R. L. Byer, Appl. Phys. Lett. 56, 108 (1990).
    [CrossRef]
  9. J. D. Bierlein, H. Vanherzeele, J. Opt. Soc. Am. B 6, 622 (1989).
    [CrossRef]
  10. F. Zernike, J. E. Midwinter, Applied Nonlinear Optics (Wiley, New York, 1973), Chap. 4.
  11. S. Somekh, A. Yariv, Opt. Commun. 6, 301 (1972).
    [CrossRef]
  12. See, e.g., a comprehensive paper by N. Hashizume, T. Kondo, T. Onda, N. Ogasawara, S. Umegaki, R. Ito, IEEE J. Quantum Electron. 28, 1798 (1992).
    [CrossRef]
  13. A. Yariv, P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984), Chap. 12.
  14. Y. Ishida, N. Sarukura, H. Nakano, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper JMB2.

1992 (3)

R. J. Ellingson, C. L. Tang, Opt. Lett. 17, 343 (1992).
[CrossRef] [PubMed]

R. A. Cheville, M. T. Reiten, N. J. Halas, Opt. Lett. 17, 1343 (1992).
[CrossRef] [PubMed]

See, e.g., a comprehensive paper by N. Hashizume, T. Kondo, T. Onda, N. Ogasawara, S. Umegaki, R. Ito, IEEE J. Quantum Electron. 28, 1798 (1992).
[CrossRef]

1991 (1)

1990 (2)

J. D. Bierlein, D. B. Laubacher, J. B. Brown, Appl. Phys. Lett. 56, 1725 (1990).
[CrossRef]

G. A. Magle, M. M. Fejer, R. L. Byer, Appl. Phys. Lett. 56, 108 (1990).
[CrossRef]

1989 (2)

J. D. Bierlein, H. Vanherzeele, J. Opt. Soc. Am. B 6, 622 (1989).
[CrossRef]

O. E. Martinez, IEEE J. Quantum Electron. 25, 2464 (1989).
[CrossRef]

1972 (1)

S. Somekh, A. Yariv, Opt. Commun. 6, 301 (1972).
[CrossRef]

1970 (1)

P. K. Tien, R. Ulrich, R. J. Martin, Appl. Phys. Lett. 17, 447 (1970).
[CrossRef]

1968 (1)

J. Comly, E. Garmire, Appl. Phys. Lett. 12, 7 (1968).
[CrossRef]

Bierlein, J. D.

J. D. Bierlein, D. B. Laubacher, J. B. Brown, Appl. Phys. Lett. 56, 1725 (1990).
[CrossRef]

J. D. Bierlein, H. Vanherzeele, J. Opt. Soc. Am. B 6, 622 (1989).
[CrossRef]

Brown, J. B.

J. D. Bierlein, D. B. Laubacher, J. B. Brown, Appl. Phys. Lett. 56, 1725 (1990).
[CrossRef]

Byer, R. L.

G. A. Magle, M. M. Fejer, R. L. Byer, Appl. Phys. Lett. 56, 108 (1990).
[CrossRef]

Cheville, R. A.

Comly, J.

J. Comly, E. Garmire, Appl. Phys. Lett. 12, 7 (1968).
[CrossRef]

Ellingson, R. J.

Fejer, M. M.

G. A. Magle, M. M. Fejer, R. L. Byer, Appl. Phys. Lett. 56, 108 (1990).
[CrossRef]

Garmire, E.

J. Comly, E. Garmire, Appl. Phys. Lett. 12, 7 (1968).
[CrossRef]

Halas, N. J.

Hashizume, N.

See, e.g., a comprehensive paper by N. Hashizume, T. Kondo, T. Onda, N. Ogasawara, S. Umegaki, R. Ito, IEEE J. Quantum Electron. 28, 1798 (1992).
[CrossRef]

Ishida, Y.

Y. Ishida, N. Sarukura, H. Nakano, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper JMB2.

Ito, R.

See, e.g., a comprehensive paper by N. Hashizume, T. Kondo, T. Onda, N. Ogasawara, S. Umegaki, R. Ito, IEEE J. Quantum Electron. 28, 1798 (1992).
[CrossRef]

Kean, P. N.

Kondo, T.

See, e.g., a comprehensive paper by N. Hashizume, T. Kondo, T. Onda, N. Ogasawara, S. Umegaki, R. Ito, IEEE J. Quantum Electron. 28, 1798 (1992).
[CrossRef]

Laubacher, D. B.

J. D. Bierlein, D. B. Laubacher, J. B. Brown, Appl. Phys. Lett. 56, 1725 (1990).
[CrossRef]

Magle, G. A.

G. A. Magle, M. M. Fejer, R. L. Byer, Appl. Phys. Lett. 56, 108 (1990).
[CrossRef]

Martin, R. J.

P. K. Tien, R. Ulrich, R. J. Martin, Appl. Phys. Lett. 17, 447 (1970).
[CrossRef]

Martinez, O. E.

O. E. Martinez, IEEE J. Quantum Electron. 25, 2464 (1989).
[CrossRef]

Midwinter, J. E.

F. Zernike, J. E. Midwinter, Applied Nonlinear Optics (Wiley, New York, 1973), Chap. 4.

Nakano, H.

Y. Ishida, N. Sarukura, H. Nakano, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper JMB2.

Ogasawara, N.

See, e.g., a comprehensive paper by N. Hashizume, T. Kondo, T. Onda, N. Ogasawara, S. Umegaki, R. Ito, IEEE J. Quantum Electron. 28, 1798 (1992).
[CrossRef]

Onda, T.

See, e.g., a comprehensive paper by N. Hashizume, T. Kondo, T. Onda, N. Ogasawara, S. Umegaki, R. Ito, IEEE J. Quantum Electron. 28, 1798 (1992).
[CrossRef]

Reiten, M. T.

Sarukura, N.

Y. Ishida, N. Sarukura, H. Nakano, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper JMB2.

Sibbett, W.

Somekh, S.

S. Somekh, A. Yariv, Opt. Commun. 6, 301 (1972).
[CrossRef]

Spence, D. E.

Tang, C. L.

Tien, P. K.

P. K. Tien, R. Ulrich, R. J. Martin, Appl. Phys. Lett. 17, 447 (1970).
[CrossRef]

Ulrich, R.

P. K. Tien, R. Ulrich, R. J. Martin, Appl. Phys. Lett. 17, 447 (1970).
[CrossRef]

Umegaki, S.

See, e.g., a comprehensive paper by N. Hashizume, T. Kondo, T. Onda, N. Ogasawara, S. Umegaki, R. Ito, IEEE J. Quantum Electron. 28, 1798 (1992).
[CrossRef]

Vanherzeele, H.

Yariv, A.

S. Somekh, A. Yariv, Opt. Commun. 6, 301 (1972).
[CrossRef]

A. Yariv, P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984), Chap. 12.

Yeh, P.

A. Yariv, P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984), Chap. 12.

Zernike, F.

F. Zernike, J. E. Midwinter, Applied Nonlinear Optics (Wiley, New York, 1973), Chap. 4.

Appl. Phys. Lett. (4)

J. Comly, E. Garmire, Appl. Phys. Lett. 12, 7 (1968).
[CrossRef]

P. K. Tien, R. Ulrich, R. J. Martin, Appl. Phys. Lett. 17, 447 (1970).
[CrossRef]

J. D. Bierlein, D. B. Laubacher, J. B. Brown, Appl. Phys. Lett. 56, 1725 (1990).
[CrossRef]

G. A. Magle, M. M. Fejer, R. L. Byer, Appl. Phys. Lett. 56, 108 (1990).
[CrossRef]

IEEE J. Quantum Electron. (2)

O. E. Martinez, IEEE J. Quantum Electron. 25, 2464 (1989).
[CrossRef]

See, e.g., a comprehensive paper by N. Hashizume, T. Kondo, T. Onda, N. Ogasawara, S. Umegaki, R. Ito, IEEE J. Quantum Electron. 28, 1798 (1992).
[CrossRef]

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

Opt. Commun. (1)

S. Somekh, A. Yariv, Opt. Commun. 6, 301 (1972).
[CrossRef]

Opt. Lett. (3)

Other (3)

F. Zernike, J. E. Midwinter, Applied Nonlinear Optics (Wiley, New York, 1973), Chap. 4.

A. Yariv, P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984), Chap. 12.

Y. Ishida, N. Sarukura, H. Nakano, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper JMB2.

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Figures (3)

Fig. 1.
Fig. 1.

Waveguide quasi-phase-matched Čerenkov SHG: (a) schematic, (b) geometric view of the possibility of satisfying phase- and group-velocity matching for high-efficiency generation of ultrashort optical SH pulses.

Fig. 2.
Fig. 2.

Output angle of the generated SH pulses. The upper pair of curves are the output angle in LiNbO3 and can satisfy both group-velocity matching (GVM) and phase-velocity matching (PVM); the lower pair of curves satisfy only phase-velocity matching in the traditional Čerenkov SHG scheme.

Fig. 3.
Fig. 3.

Waveguide period that is required to satisfy phase- and group-velocity matching under the quasi-phase-matched Čerenkov SHG scheme with the output angle shown in Fig. 2.

Equations (8)

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Δ k = [ ( cos γ V 2 ω 0 1 V ω 0 ) 2 ω 0 + K ] + ( cos γ υ 2 ω 0 1 υ ω 0 ) ( ω 1 + ω 2 2 ω 0 ) ,
cos γ V 2 ω 0 = 1 V ω 0 K 2 ω 0 ,
cos γ υ 2 ω 0 = 1 υ ω 0 ,
V 2 ω 0 V ω 0 = υ 2 ω 0 υ ω 0 ,
cos γ V 2 ω 0 = 1 V ω 0 .
I 2 ω ( t ) = 4 π 2 sin 2 N + 1 2 δ t sin 2 1 2 δ t I 2 ω 0 c ,
L max = V Δ t ω ,
η = 8 π c ( μ 0 0 ) 3 / 2 ω 3 d 3 n ω 2 VE ω ,

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