Abstract

We propose a simple means for compressing optical pulses with second-harmonic generation. Aperiodic quasi-phase-matching gratings impart a frequency-dependent phase shift on the second-harmonic pulse relative to the fundamental pulse and can be engineered to correct for arbitrary phase distortions. The mechanism is discussed, and a detailed analysis of the compression of quadratic phase (linear frequency) chirped pulses is presented.

© 1997 Optical Society of America

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  1. J. A. Giordmaine, M. A. Duguay, and J. W. Hansen, IEEE J. Quantum Electron. QE-4, 252 (1968).
    [CrossRef]
  2. D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
    [CrossRef]
  3. G. C. Dieles and W. Rudolph, Ultrashort Laser Pulse Phenomena (Academic, New York, 1996).
  4. M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
    [CrossRef]
  5. J. Comly and E. Garmire, Appl. Phys. Lett. 12, 7 (1968).
    [CrossRef]
  6. S. A. Akhamanov, in Quantum Electronics: A Treatise, H. Rabin and C. L. Tang, eds. (Academic, New York, 1975), Vol. 1, Pt. B, pp. 476–586.
  7. E. Sidick, A. Knoesen, and A. Dienes, Pure Appl. Opt. 5, 709 (1996).
    [CrossRef]
  8. V. Pruneri, S. D. Butterworth, and D. C. Hanna, Opt. Lett. 21, 390 (1996).
    [CrossRef] [PubMed]
  9. M. A. Arbore, M. M. Fejer, M. E. Fermann, A. Hariharan, A. Galvanauskas, and D. Harter, Opt. Lett. 22, 13 (1997).
    [CrossRef] [PubMed]
  10. T. Suhara and H. Nishihara, IEEE J. Quantum Electron. 26, 1265 (1990); K. Mizuuchi, K. Yamamoto, M. Kato, and H. Sato, IEEE J. Quantum Electron. 30, 1596 (1994); M. L. Bortz, M. Fujimura, and M. M. Fejer, Electron. Lett. 30, 34 (1994).
    [CrossRef]

1997 (1)

1996 (2)

V. Pruneri, S. D. Butterworth, and D. C. Hanna, Opt. Lett. 21, 390 (1996).
[CrossRef] [PubMed]

E. Sidick, A. Knoesen, and A. Dienes, Pure Appl. Opt. 5, 709 (1996).
[CrossRef]

1992 (1)

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

1990 (1)

T. Suhara and H. Nishihara, IEEE J. Quantum Electron. 26, 1265 (1990); K. Mizuuchi, K. Yamamoto, M. Kato, and H. Sato, IEEE J. Quantum Electron. 30, 1596 (1994); M. L. Bortz, M. Fujimura, and M. M. Fejer, Electron. Lett. 30, 34 (1994).
[CrossRef]

1985 (1)

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
[CrossRef]

1968 (2)

J. A. Giordmaine, M. A. Duguay, and J. W. Hansen, IEEE J. Quantum Electron. QE-4, 252 (1968).
[CrossRef]

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

Akhamanov, S. A.

S. A. Akhamanov, in Quantum Electronics: A Treatise, H. Rabin and C. L. Tang, eds. (Academic, New York, 1975), Vol. 1, Pt. B, pp. 476–586.

Arbore, M. A.

Butterworth, S. D.

Byer, R. L.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

Comly, J.

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

Dieles, G. C.

G. C. Dieles and W. Rudolph, Ultrashort Laser Pulse Phenomena (Academic, New York, 1996).

Dienes, A.

E. Sidick, A. Knoesen, and A. Dienes, Pure Appl. Opt. 5, 709 (1996).
[CrossRef]

Duguay, M. A.

J. A. Giordmaine, M. A. Duguay, and J. W. Hansen, IEEE J. Quantum Electron. QE-4, 252 (1968).
[CrossRef]

Fejer, M. M.

M. A. Arbore, M. M. Fejer, M. E. Fermann, A. Hariharan, A. Galvanauskas, and D. Harter, Opt. Lett. 22, 13 (1997).
[CrossRef] [PubMed]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

Fermann, M. E.

Galvanauskas, A.

Garmire, E.

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

Giordmaine, J. A.

J. A. Giordmaine, M. A. Duguay, and J. W. Hansen, IEEE J. Quantum Electron. QE-4, 252 (1968).
[CrossRef]

Hanna, D. C.

Hansen, J. W.

J. A. Giordmaine, M. A. Duguay, and J. W. Hansen, IEEE J. Quantum Electron. QE-4, 252 (1968).
[CrossRef]

Hariharan, A.

Harter, D.

Jundt, D. H.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

Knoesen, A.

E. Sidick, A. Knoesen, and A. Dienes, Pure Appl. Opt. 5, 709 (1996).
[CrossRef]

Magel, G. A.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

Mourou, G.

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
[CrossRef]

Nishihara, H.

T. Suhara and H. Nishihara, IEEE J. Quantum Electron. 26, 1265 (1990); K. Mizuuchi, K. Yamamoto, M. Kato, and H. Sato, IEEE J. Quantum Electron. 30, 1596 (1994); M. L. Bortz, M. Fujimura, and M. M. Fejer, Electron. Lett. 30, 34 (1994).
[CrossRef]

Pruneri, V.

Rudolph, W.

G. C. Dieles and W. Rudolph, Ultrashort Laser Pulse Phenomena (Academic, New York, 1996).

Sidick, E.

E. Sidick, A. Knoesen, and A. Dienes, Pure Appl. Opt. 5, 709 (1996).
[CrossRef]

Strickland, D.

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
[CrossRef]

Suhara, T.

T. Suhara and H. Nishihara, IEEE J. Quantum Electron. 26, 1265 (1990); K. Mizuuchi, K. Yamamoto, M. Kato, and H. Sato, IEEE J. Quantum Electron. 30, 1596 (1994); M. L. Bortz, M. Fujimura, and M. M. Fejer, Electron. Lett. 30, 34 (1994).
[CrossRef]

Appl. Phys. Lett. (1)

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

IEEE J. Quantum Electron. (3)

J. A. Giordmaine, M. A. Duguay, and J. W. Hansen, IEEE J. Quantum Electron. QE-4, 252 (1968).
[CrossRef]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

T. Suhara and H. Nishihara, IEEE J. Quantum Electron. 26, 1265 (1990); K. Mizuuchi, K. Yamamoto, M. Kato, and H. Sato, IEEE J. Quantum Electron. 30, 1596 (1994); M. L. Bortz, M. Fujimura, and M. M. Fejer, Electron. Lett. 30, 34 (1994).
[CrossRef]

Opt. Commun. (1)

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
[CrossRef]

Opt. Lett. (2)

Pure Appl. Opt. (1)

E. Sidick, A. Knoesen, and A. Dienes, Pure Appl. Opt. 5, 709 (1996).
[CrossRef]

Other (2)

G. C. Dieles and W. Rudolph, Ultrashort Laser Pulse Phenomena (Academic, New York, 1996).

S. A. Akhamanov, in Quantum Electronics: A Treatise, H. Rabin and C. L. Tang, eds. (Academic, New York, 1975), Vol. 1, Pt. B, pp. 476–586.

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Figures (2)

Fig. 1
Fig. 1

Time-domain representation of pulse compression during SHG in aperiodic QPM gratings. Different shadings correspond to the optical frequency of each temporal slice of the fundamental pulse (dashed curve) and to the optical frequency for which SHG is quasi-phase matched in each spatial region of the aperiodic QPM grating.

Fig. 2
Fig. 2

Normalized input (dashed curve) and output (a) pulse lengths and (b) conversion efficiencies plotted against the chirp of the input pulse (expressed in terms of normalized delay line GVD) for SHG in a chirped QPM grating for Dg2=-0.05δ/τ02 (solid curve) and for Dg2=-0.033δ/τ02 (dashed–dotted curve). Pulse lengths are normalized to the minimum fundamental pulse length, τ0. Efficiencies are normalized to that of the SHG of unchirped pulses in homogeneous materials of optimum length, η0PW.

Equations (15)

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A1z, tz+1νg1A1z, tt=0,
A2z, tz+1νg2A2z, tt=Γd¯zA12z, texpiΔk0z,
A2L/2, η2=-+DζA12η2-ζdζ,
A2ˆΩ=DˆΩ·A12ˆΩ,
DˆΩ=Γ-+d¯zexpiΔk0+Ωδzdz.
d¯z=exp-iΔk0z+Dg2z2+Dg3z3+rectz/L,
DˆΩ=Γ-+rectz/Lexp-iDg2z2+Ωzδdz,
DˆΩ=Γπ/Dg2 expiΩ2δ2/4Dg2,
A1t=A1τ0τ02-iDpexp-t2/2τ02-iDp
A1ˆ2Ω=πA12τ0ττ02-iDp×exp-14τ02-iDpΩ2.
A2t=Γπ/Dg2A12τ0ττ02-iDpτ02-i2DSH×exp-t2/2τ0/22-iDSH,
A2t=ΓπDp/δA12τ0/τ exp-t2/τ02.
ηPW=π2Γ2A12τ01τ1Dg2=1.4η0PWδ2τ01τ1Dg2,
η0PW=1.6Γ2A12τ0τ0/δ
ηconf/η0conf=ηPW/η0PWLmax/Lmin=0.7τ0/τ.

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