Abstract

The influence of the group-velocity mismatch between the fundamental and the second harmonic in the frequency-doubling nonlinear mirror is investigated theoretically. The nonstationary analysis provides an estimation for the maximum pulse-shortening capabilities of the device when it is used as a passive mode locker. The pulse-shape deformation is also investigated.

© 1991 Optical Society of America

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References

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  1. D. J. Bradley, in Ultrashort Light Pulses, S. Shapiro, ed. (Springer-Verlag, Berlin, 1979).
  2. A. Penzkoffer, Appl. Phys. B 46, 43 (1988).
    [CrossRef]
  3. R. L. Fork, B. I. Green, C. V. Shank, Appl. Phys. Lett. 28, 671 (1981).
    [CrossRef]
  4. K. A. Stankov, Appl. Phys. B 45, 191 (1988).
    [CrossRef]
  5. K. A. Stankov, J. Jethwa, Opt. Commun. 66, 41 (1988).
    [CrossRef]
  6. K. A. Stankov, Opt. Lett. 14, 359 (1989).
    [CrossRef] [PubMed]
  7. J. R. M. Barr, D. W. Hughes, Appl. Phys. B 49, 323 (1989).
    [CrossRef]
  8. S. A. Akhmanov, A. S. Chirkin, K. N. Drabovich, A. I. Kovrigin, R. V. Khokhlov, A. P. Sukhorukov, IEEE J. Quantum Electron. QE-4, 598 (1968).
    [CrossRef]
  9. N. C. Kothari, X. Carlotti, J. Opt. Soc. Am. B 5, 756 (1988).
    [CrossRef]
  10. K. A. Stankov, Appl. Opt. 28, 942 (1989).
    [CrossRef] [PubMed]
  11. K. A. Stankov, Appl. Phys. Lett. 58, 2203 (1991).
    [CrossRef]
  12. G. Szabo, Z. Bor, Appl. Phys. B 50, 51 (1990).
    [CrossRef]

1991 (1)

K. A. Stankov, Appl. Phys. Lett. 58, 2203 (1991).
[CrossRef]

1990 (1)

G. Szabo, Z. Bor, Appl. Phys. B 50, 51 (1990).
[CrossRef]

1989 (3)

1988 (4)

N. C. Kothari, X. Carlotti, J. Opt. Soc. Am. B 5, 756 (1988).
[CrossRef]

A. Penzkoffer, Appl. Phys. B 46, 43 (1988).
[CrossRef]

K. A. Stankov, Appl. Phys. B 45, 191 (1988).
[CrossRef]

K. A. Stankov, J. Jethwa, Opt. Commun. 66, 41 (1988).
[CrossRef]

1981 (1)

R. L. Fork, B. I. Green, C. V. Shank, Appl. Phys. Lett. 28, 671 (1981).
[CrossRef]

1968 (1)

S. A. Akhmanov, A. S. Chirkin, K. N. Drabovich, A. I. Kovrigin, R. V. Khokhlov, A. P. Sukhorukov, IEEE J. Quantum Electron. QE-4, 598 (1968).
[CrossRef]

Akhmanov, S. A.

S. A. Akhmanov, A. S. Chirkin, K. N. Drabovich, A. I. Kovrigin, R. V. Khokhlov, A. P. Sukhorukov, IEEE J. Quantum Electron. QE-4, 598 (1968).
[CrossRef]

Barr, J. R. M.

J. R. M. Barr, D. W. Hughes, Appl. Phys. B 49, 323 (1989).
[CrossRef]

Bor, Z.

G. Szabo, Z. Bor, Appl. Phys. B 50, 51 (1990).
[CrossRef]

Bradley, D. J.

D. J. Bradley, in Ultrashort Light Pulses, S. Shapiro, ed. (Springer-Verlag, Berlin, 1979).

Carlotti, X.

Chirkin, A. S.

S. A. Akhmanov, A. S. Chirkin, K. N. Drabovich, A. I. Kovrigin, R. V. Khokhlov, A. P. Sukhorukov, IEEE J. Quantum Electron. QE-4, 598 (1968).
[CrossRef]

Drabovich, K. N.

S. A. Akhmanov, A. S. Chirkin, K. N. Drabovich, A. I. Kovrigin, R. V. Khokhlov, A. P. Sukhorukov, IEEE J. Quantum Electron. QE-4, 598 (1968).
[CrossRef]

Fork, R. L.

R. L. Fork, B. I. Green, C. V. Shank, Appl. Phys. Lett. 28, 671 (1981).
[CrossRef]

Green, B. I.

R. L. Fork, B. I. Green, C. V. Shank, Appl. Phys. Lett. 28, 671 (1981).
[CrossRef]

Hughes, D. W.

J. R. M. Barr, D. W. Hughes, Appl. Phys. B 49, 323 (1989).
[CrossRef]

Jethwa, J.

K. A. Stankov, J. Jethwa, Opt. Commun. 66, 41 (1988).
[CrossRef]

Khokhlov, R. V.

S. A. Akhmanov, A. S. Chirkin, K. N. Drabovich, A. I. Kovrigin, R. V. Khokhlov, A. P. Sukhorukov, IEEE J. Quantum Electron. QE-4, 598 (1968).
[CrossRef]

Kothari, N. C.

Kovrigin, A. I.

S. A. Akhmanov, A. S. Chirkin, K. N. Drabovich, A. I. Kovrigin, R. V. Khokhlov, A. P. Sukhorukov, IEEE J. Quantum Electron. QE-4, 598 (1968).
[CrossRef]

Penzkoffer, A.

A. Penzkoffer, Appl. Phys. B 46, 43 (1988).
[CrossRef]

Shank, C. V.

R. L. Fork, B. I. Green, C. V. Shank, Appl. Phys. Lett. 28, 671 (1981).
[CrossRef]

Stankov, K. A.

K. A. Stankov, Appl. Phys. Lett. 58, 2203 (1991).
[CrossRef]

K. A. Stankov, Appl. Opt. 28, 942 (1989).
[CrossRef] [PubMed]

K. A. Stankov, Opt. Lett. 14, 359 (1989).
[CrossRef] [PubMed]

K. A. Stankov, Appl. Phys. B 45, 191 (1988).
[CrossRef]

K. A. Stankov, J. Jethwa, Opt. Commun. 66, 41 (1988).
[CrossRef]

Sukhorukov, A. P.

S. A. Akhmanov, A. S. Chirkin, K. N. Drabovich, A. I. Kovrigin, R. V. Khokhlov, A. P. Sukhorukov, IEEE J. Quantum Electron. QE-4, 598 (1968).
[CrossRef]

Szabo, G.

G. Szabo, Z. Bor, Appl. Phys. B 50, 51 (1990).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. B (4)

J. R. M. Barr, D. W. Hughes, Appl. Phys. B 49, 323 (1989).
[CrossRef]

A. Penzkoffer, Appl. Phys. B 46, 43 (1988).
[CrossRef]

K. A. Stankov, Appl. Phys. B 45, 191 (1988).
[CrossRef]

G. Szabo, Z. Bor, Appl. Phys. B 50, 51 (1990).
[CrossRef]

Appl. Phys. Lett. (2)

R. L. Fork, B. I. Green, C. V. Shank, Appl. Phys. Lett. 28, 671 (1981).
[CrossRef]

K. A. Stankov, Appl. Phys. Lett. 58, 2203 (1991).
[CrossRef]

IEEE J. Quantum Electron. (1)

S. A. Akhmanov, A. S. Chirkin, K. N. Drabovich, A. I. Kovrigin, R. V. Khokhlov, A. P. Sukhorukov, IEEE J. Quantum Electron. QE-4, 598 (1968).
[CrossRef]

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

Opt. Commun. (1)

K. A. Stankov, J. Jethwa, Opt. Commun. 66, 41 (1988).
[CrossRef]

Opt. Lett. (1)

Other (1)

D. J. Bradley, in Ultrashort Light Pulses, S. Shapiro, ed. (Springer-Verlag, Berlin, 1979).

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Figures (4)

Fig. 1
Fig. 1

Second-harmonic nonlinear mirror. SHG, frequency-doubling crystal; DM, dichroic mirror, a total reflector at the second harmonic, with 25% reflection at the fundamental. The difference ϕ2 − 2ϕ1 between the phases of the fundamental ϕ1 and the second harmonic ϕ2 can be adjusted by varying the distance d, which utilizes dispersion in air. F and SH denote fundamental and second-harmonic beams, respectively.

Fig. 2
Fig. 2

Variation of the relative shortening for a Gaussian pulse as a function of the ratio of the doubled crystal non-stationary time parameter and the incident pulse duration, 2τcr/τp, for (a) low conversion efficiency and (b) high conversion efficiency.

Fig. 3
Fig. 3

Deformation of a Gaussian pulse at the fundamental wavelength owing to reflection from the nonlinear mirror for various ratios r = 2τcr/τp and conversion efficiency to the second harmonic of 70%. The dashed curve (r = 0) corresponds to quasi-stationary interaction. Note the delay of the fundamental pulse peak after reflection.

Fig. 4
Fig. 4

Normalized nonlinear reflection Rnl/R1 as a function of the ratio 2τcr/τp for several values of the conversion efficiency.

Equations (1)

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A 1 / z = k σ A 1 A 2 , A 2 / z δ A 2 / μ = k σ A 1 2 ,

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