Abstract

The pump pulse of a hybridly mode-locked laser provides additional parameters for system optimization. We use a semiclassical model to explore numerically the role of the pump pulse in the ultrashort pulse production of a hybridly mode-locked dye laser. Pump pulses of lengths less than ~1 psec are found to correspond to Dirac delta functions and deliver the shortest output pulses. We conclude that existing dye-laser systems would yield a twofold to threefold shortening in output pulse widths and a threefold to fivefold increase in peak power if pump pulses of 1 psec were used. We note that a 1-psec pump pulse is attainable using fiber-compression techniques.

© 1989 Optical Society of America

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References

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  1. J. A. Valdmanis, R. L. Fork, J. Opt. Soc. Am. A 1, 1337 (1984).
  2. G. A. Mourou, T. Sizer, Opt. Commun. 41, 47 (1982).
    [Crossref]
  3. M. D. Dawson, T. F. Boggess, D. W. Garvey, A. L. Smirl, Opt. Lett. 11, 72 (1986).
    [Crossref]
  4. M. Nakazawa, T. Nakashima, H. Kubota, S. Seikai, Opt. Lett. 12, 681 (1987).
    [Crossref] [PubMed]
  5. B. Coullaud, V. Fossati-Bellani, G. Mitchell, Proc. Soc. Photo-Opt. Instrum. Eng. 533, 46 (1985).
  6. J. P. Heritage, R. K. Jain, Appl. Phys. Lett. 32, 101 (1978).
    [Crossref]
  7. A. M. Johnson, W. M. Simpson, J. Opt. Soc. Am. B 2, 619 (1985).
    [Crossref]
  8. J. D. Kafka, T. Baer, Proc. Soc. Photo-Opt. Instrum. Eng. 533, 38 (1985).
  9. P. Beaud, B. Zysset, A. P. Schwarzenbach, H. P. Weber, Opt. Lett. 11, 24 (1986).
    [Crossref] [PubMed]
  10. L. W. Casperson, J. Appl. Phys. 54, 2198 (1983).
    [Crossref]
  11. D. Magde, M. W. Windsor, Chem. Phys. Lett. 27, 31 (1974).
    [Crossref]
  12. J. C. Mialocq, A. W. Boyd, J. Jaraudias, J. Sutton, Chem. Phys. Lett. 37, 236 (1976).
    [Crossref]
  13. T. Yajima, Y. Ishida, Y. Taira, in Picosecond Phenomena II, R. Hochstrasser, W. Kaiser, C. V. Shank, eds. (Springer-Verlag, Berlin, 1980), p. 190.
    [Crossref]

1987 (1)

1986 (2)

P. Beaud, B. Zysset, A. P. Schwarzenbach, H. P. Weber, Opt. Lett. 11, 24 (1986).
[Crossref] [PubMed]

M. D. Dawson, T. F. Boggess, D. W. Garvey, A. L. Smirl, Opt. Lett. 11, 72 (1986).
[Crossref]

1985 (3)

B. Coullaud, V. Fossati-Bellani, G. Mitchell, Proc. Soc. Photo-Opt. Instrum. Eng. 533, 46 (1985).

J. D. Kafka, T. Baer, Proc. Soc. Photo-Opt. Instrum. Eng. 533, 38 (1985).

A. M. Johnson, W. M. Simpson, J. Opt. Soc. Am. B 2, 619 (1985).
[Crossref]

1984 (1)

J. A. Valdmanis, R. L. Fork, J. Opt. Soc. Am. A 1, 1337 (1984).

1983 (1)

L. W. Casperson, J. Appl. Phys. 54, 2198 (1983).
[Crossref]

1982 (1)

G. A. Mourou, T. Sizer, Opt. Commun. 41, 47 (1982).
[Crossref]

1978 (1)

J. P. Heritage, R. K. Jain, Appl. Phys. Lett. 32, 101 (1978).
[Crossref]

1976 (1)

J. C. Mialocq, A. W. Boyd, J. Jaraudias, J. Sutton, Chem. Phys. Lett. 37, 236 (1976).
[Crossref]

1974 (1)

D. Magde, M. W. Windsor, Chem. Phys. Lett. 27, 31 (1974).
[Crossref]

Baer, T.

J. D. Kafka, T. Baer, Proc. Soc. Photo-Opt. Instrum. Eng. 533, 38 (1985).

Beaud, P.

Boggess, T. F.

M. D. Dawson, T. F. Boggess, D. W. Garvey, A. L. Smirl, Opt. Lett. 11, 72 (1986).
[Crossref]

Boyd, A. W.

J. C. Mialocq, A. W. Boyd, J. Jaraudias, J. Sutton, Chem. Phys. Lett. 37, 236 (1976).
[Crossref]

Casperson, L. W.

L. W. Casperson, J. Appl. Phys. 54, 2198 (1983).
[Crossref]

Coullaud, B.

B. Coullaud, V. Fossati-Bellani, G. Mitchell, Proc. Soc. Photo-Opt. Instrum. Eng. 533, 46 (1985).

Dawson, M. D.

M. D. Dawson, T. F. Boggess, D. W. Garvey, A. L. Smirl, Opt. Lett. 11, 72 (1986).
[Crossref]

Fork, R. L.

J. A. Valdmanis, R. L. Fork, J. Opt. Soc. Am. A 1, 1337 (1984).

Fossati-Bellani, V.

B. Coullaud, V. Fossati-Bellani, G. Mitchell, Proc. Soc. Photo-Opt. Instrum. Eng. 533, 46 (1985).

Garvey, D. W.

M. D. Dawson, T. F. Boggess, D. W. Garvey, A. L. Smirl, Opt. Lett. 11, 72 (1986).
[Crossref]

Heritage, J. P.

J. P. Heritage, R. K. Jain, Appl. Phys. Lett. 32, 101 (1978).
[Crossref]

Ishida, Y.

T. Yajima, Y. Ishida, Y. Taira, in Picosecond Phenomena II, R. Hochstrasser, W. Kaiser, C. V. Shank, eds. (Springer-Verlag, Berlin, 1980), p. 190.
[Crossref]

Jain, R. K.

J. P. Heritage, R. K. Jain, Appl. Phys. Lett. 32, 101 (1978).
[Crossref]

Jaraudias, J.

J. C. Mialocq, A. W. Boyd, J. Jaraudias, J. Sutton, Chem. Phys. Lett. 37, 236 (1976).
[Crossref]

Johnson, A. M.

Kafka, J. D.

J. D. Kafka, T. Baer, Proc. Soc. Photo-Opt. Instrum. Eng. 533, 38 (1985).

Kubota, H.

Magde, D.

D. Magde, M. W. Windsor, Chem. Phys. Lett. 27, 31 (1974).
[Crossref]

Mialocq, J. C.

J. C. Mialocq, A. W. Boyd, J. Jaraudias, J. Sutton, Chem. Phys. Lett. 37, 236 (1976).
[Crossref]

Mitchell, G.

B. Coullaud, V. Fossati-Bellani, G. Mitchell, Proc. Soc. Photo-Opt. Instrum. Eng. 533, 46 (1985).

Mourou, G. A.

G. A. Mourou, T. Sizer, Opt. Commun. 41, 47 (1982).
[Crossref]

Nakashima, T.

Nakazawa, M.

Schwarzenbach, A. P.

Seikai, S.

Simpson, W. M.

Sizer, T.

G. A. Mourou, T. Sizer, Opt. Commun. 41, 47 (1982).
[Crossref]

Smirl, A. L.

M. D. Dawson, T. F. Boggess, D. W. Garvey, A. L. Smirl, Opt. Lett. 11, 72 (1986).
[Crossref]

Sutton, J.

J. C. Mialocq, A. W. Boyd, J. Jaraudias, J. Sutton, Chem. Phys. Lett. 37, 236 (1976).
[Crossref]

Taira, Y.

T. Yajima, Y. Ishida, Y. Taira, in Picosecond Phenomena II, R. Hochstrasser, W. Kaiser, C. V. Shank, eds. (Springer-Verlag, Berlin, 1980), p. 190.
[Crossref]

Valdmanis, J. A.

J. A. Valdmanis, R. L. Fork, J. Opt. Soc. Am. A 1, 1337 (1984).

Weber, H. P.

Windsor, M. W.

D. Magde, M. W. Windsor, Chem. Phys. Lett. 27, 31 (1974).
[Crossref]

Yajima, T.

T. Yajima, Y. Ishida, Y. Taira, in Picosecond Phenomena II, R. Hochstrasser, W. Kaiser, C. V. Shank, eds. (Springer-Verlag, Berlin, 1980), p. 190.
[Crossref]

Zysset, B.

Appl. Phys. Lett. (1)

J. P. Heritage, R. K. Jain, Appl. Phys. Lett. 32, 101 (1978).
[Crossref]

Chem. Phys. Lett. (2)

D. Magde, M. W. Windsor, Chem. Phys. Lett. 27, 31 (1974).
[Crossref]

J. C. Mialocq, A. W. Boyd, J. Jaraudias, J. Sutton, Chem. Phys. Lett. 37, 236 (1976).
[Crossref]

J. Appl. Phys. (1)

L. W. Casperson, J. Appl. Phys. 54, 2198 (1983).
[Crossref]

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

J. A. Valdmanis, R. L. Fork, J. Opt. Soc. Am. A 1, 1337 (1984).

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

Opt. Commun. (1)

G. A. Mourou, T. Sizer, Opt. Commun. 41, 47 (1982).
[Crossref]

Opt. Lett. (3)

Proc. Soc. Photo-Opt. Instrum. Eng. (2)

J. D. Kafka, T. Baer, Proc. Soc. Photo-Opt. Instrum. Eng. 533, 38 (1985).

B. Coullaud, V. Fossati-Bellani, G. Mitchell, Proc. Soc. Photo-Opt. Instrum. Eng. 533, 46 (1985).

Other (1)

T. Yajima, Y. Ishida, Y. Taira, in Picosecond Phenomena II, R. Hochstrasser, W. Kaiser, C. V. Shank, eds. (Springer-Verlag, Berlin, 1980), p. 190.
[Crossref]

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Figures (2)

Fig. 1
Fig. 1

Theoretically calculated dependences of (a) the pulse width tp and (b) the peak intensity Ipk of a hybridly mode-locked dye laser as a function of the threshold parameter r for pump-pulse lengths Δτ = 50, 10, and 1 psec.

Fig. 2
Fig. 2

Theoretically calculated dependences of (a) the pulse width tp and (b) the peak intensity Ipk of a hybridly mode-locked dye laser as a function of pump-pulse length Δτ for threshold parameters r = 2, 3, and 4.

Equations (7)

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d D / d t = - ( 1 / τ 2 ) [ ( 1 + τ 2 / 2 τ 1 ) D + ( 1 - τ 2 / 2 τ 1 ) M + 2 Q A x - P ( t ) x 2 ] ,
d M / d t = - ( 1 / τ 2 ) [ - ( τ 2 / 2 τ 1 ) D + ( τ 2 / 2 τ 1 ) M - P ( t ) x 2 ] ,
d Q / d t = - ( 1 / T s ) ( Q - A D x ) ,
d A / d t = - ( L / 2 t c Δ L ) ( A - 0 1 Q x d x - 0 1 Q a y d y ) ,
d D a / d t = - ( 1 / τ a 2 ) ( D a + α + 2 β Q a A y ) ,
d Q a / d t = - ( 1 / T a ) ( Q a - A D a y ) .
P ( t ) = P 0 ( 2 / Δ τ ) ( ln 2 / π ) 1 / 2 exp [ - ( 2 t / Δ τ ) 2 ln 2 ] .

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