Abstract

A simple treatment of pulse compression in second-harmonic generation based on the use of an aperiodically poled nonlinear medium is presented. Particular emphasis is placed on the conditions that must be satisfied if the process is to work efficiently. The possible extension to the case of optical parametric amplification and oscillation is considered.

© 2007 Optical Society of America

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References

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  1. J. Comly and E. Garmire, 'Second harmonic generation from short pulses,' Appl. Phys. Lett. 12, 7-9 (1968).
    [CrossRef]
  2. W. H. Glenn, 'Second harmonic generation by picosecond optical pulses,' IEEE J. Quantum Electron. QE-5, 284-290 (1969).
    [CrossRef]
  3. M. A. Arbore, O. Marco, and M. M. Feyer, 'Pulse compression during second harmonic generation in aperiodic quasi-phase-matched gratings,' Opt. Lett. 22, 865-867 (1997).
    [CrossRef] [PubMed]
  4. M. A. Arbore, A. Galvanaukas, D. Harter, M. H. Chou, and M. M. Feyer, 'Engineerable compression of ultrashort pulses by use of second-harmonic generation in chirped-periodic-poled lithium niobate,' Opt. Lett. 22, 1341-1343 (1997).
    [CrossRef]
  5. L. Gallmann, G. Steinmeyer, U. Keller, G. Imeshev, M. M. Feyer, and J.-P. Meyn, 'Generation of sub-6 fs blue pulses by frequency doubling with quasi-phase-matching gratings,' Opt. Lett. 26, 614-616 (2001).
    [CrossRef]
  6. D. T. Reid, 'Engineered quasi-phase-matching for second-harmonic generation,' J. Opt. Soc. Am. A 5, S97-S102 (2003).
  7. T. Beddard, M. Ebrahimzadeh, D. T. Reid, and W. Sibbett, 'Five-optical-cycle pulse generation in the mid-infrared from an optical parametric oscillator based on aperiodically poled lithium niobate,' Opt. Lett. 25, 1052-1054 (2000).
    [CrossRef]
  8. D. H. Jundt, 'Temperature-dependent Sellmeier equation for the index of refraction ne in congruent lithium niobate,' Opt. Lett. 22, 1553-1555 (1997).
    [CrossRef]

2003 (1)

D. T. Reid, 'Engineered quasi-phase-matching for second-harmonic generation,' J. Opt. Soc. Am. A 5, S97-S102 (2003).

2001 (1)

2000 (1)

1997 (3)

1969 (1)

W. H. Glenn, 'Second harmonic generation by picosecond optical pulses,' IEEE J. Quantum Electron. QE-5, 284-290 (1969).
[CrossRef]

1968 (1)

J. Comly and E. Garmire, 'Second harmonic generation from short pulses,' Appl. Phys. Lett. 12, 7-9 (1968).
[CrossRef]

Arbore, M. A.

Beddard, T.

Chou, M. H.

Comly, J.

J. Comly and E. Garmire, 'Second harmonic generation from short pulses,' Appl. Phys. Lett. 12, 7-9 (1968).
[CrossRef]

Ebrahimzadeh, M.

Feyer, M. M.

Gallmann, L.

Galvanaukas, A.

Garmire, E.

J. Comly and E. Garmire, 'Second harmonic generation from short pulses,' Appl. Phys. Lett. 12, 7-9 (1968).
[CrossRef]

Glenn, W. H.

W. H. Glenn, 'Second harmonic generation by picosecond optical pulses,' IEEE J. Quantum Electron. QE-5, 284-290 (1969).
[CrossRef]

Harter, D.

Imeshev, G.

Jundt, D. H.

Keller, U.

Marco, O.

Meyn, J.-P.

Reid, D. T.

Sibbett, W.

Steinmeyer, G.

Appl. Phys. Lett. (1)

J. Comly and E. Garmire, 'Second harmonic generation from short pulses,' Appl. Phys. Lett. 12, 7-9 (1968).
[CrossRef]

IEEE J. Quantum Electron. (1)

W. H. Glenn, 'Second harmonic generation by picosecond optical pulses,' IEEE J. Quantum Electron. QE-5, 284-290 (1969).
[CrossRef]

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

D. T. Reid, 'Engineered quasi-phase-matching for second-harmonic generation,' J. Opt. Soc. Am. A 5, S97-S102 (2003).

Opt. Lett. (5)

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Figures (7)

Fig. 1
Fig. 1

Schematic diagram of the pulse compression process. The chirped fundamental pulse extends over the time interval AB at the entrance surface of the medium, and would leave at CD in the absence of SHG. Harmonic frequency components derived from the leading edge of the fundamental are generated near the front face of the sample. They then travel along AD at a group velocity that is lower than that of the fundamental, represented by the lines AC and BD. Harmonic components derived from the rear of the fundamental are converted near the exit surface of the material and, in the ideal case, all components exit in coincidence at D.

Fig. 2
Fig. 2

Compressed pulse width as a function of the fundamental pulse chirp rate: (a) linear poling period with GTDD, (b) linear poling period without GTDD, (c) linear variation of Δ k without GTDD, (d) as (c) but with an extended crystal ( f = 0.75 ) .

Fig. 3
Fig. 3

(a) Second-harmonic spectrum corresponding (curve a) to case (c) in Fig. 2, and (curve b) to case (d) in Fig. 2.

Fig. 4
Fig. 4

Adaptation of Fig. 1 for the case of optical parametric amplification. The chirped pump pulse extends over the time interval AB at the entrance surface of the medium and would leave at CD apart from parametric generation. Idler frequency components derived from the trailing edge of the pump are generated near the front face of the sample. They then travel along BC at a higher group velocity than the pump, represented by the lines AC and BD. Idler components derived from the front of the pump are converted near the exit surface of the material. In the ideal case, all idler components exit in coincidence at C.

Fig. 5
Fig. 5

Dispersion characteristics of lithium niobate showing the relative GTDD (solid curves and left-hand axis) and the optimum poling period (dotted curve and right-hand axis).

Fig. 6
Fig. 6

Typical OPO pulse profiles for an APPLN sample with an increasing poling period. See text for details.

Fig. 7
Fig. 7

As Fig. 6, but for an APPLN sample with a decreasing poling period.

Tables (1)

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Table 1 Parameter Values in Refs. [4, 7]

Equations (11)

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Δ k p ( z ) ( 2 π Λ p ) = Δ k 0 + 2 G ( z d 2 ) ,
Λ p ( z ) Λ 0 ( 1 G Λ 0 π ( z d 2 ) ) ,
Δ Λ p = G Λ 0 2 d π .
Δ t g = d ( 1 v g 2 1 v g 1 ) γ d ,
Δ ω c = C Δ t g = C γ d .
δ Δ k = d k d ω ω 2 δ ω 2 2 d k d ω ω 1 δ ω 1 = δ ω 2 v g 2 2 δ ω 1 v g 1 = 2 γ δ ω 1 ,
G = γ 2 C .
ρ = C Δ t 2 K .
ρ Δ t 2 Δ t ch = C Δ t 2 K ,
C K Δ t 2 .
G = ± γ 2 C ,

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