Optical parametric amplification of spectrally incoherent pulses

C. Dorrer

doi:10.1364/JOSAB.413647

Journal of the Optical Society of America B
Vol. 38,
Issue 3,
pp. 792-804
(2021)
•https://doi.org/10.1364/JOSAB.413647

Optical parametric amplification of spectrally incoherent pulses

C. Dorrer

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C. Dorrer, "Optical parametric amplification of spectrally incoherent pulses," J. Opt. Soc. Am. B 38, 792-804 (2021)

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- Nonlinear or High Field Optics
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About this Article
History
- Original Manuscript: October 27, 2020
- Revised Manuscript: January 7, 2021
- Manuscript Accepted: January 15, 2021
- Published: February 10, 2021

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Abstract

The optical parametric amplification of spectrally incoherent signals is analyzed and simulated using a set of normalized equations describing phase-matched three-wave nonlinear mixing. Varying the amplifier’s properties and the seeding conditions reveals different amplification regimes. In particular, the relative temporal walk-off of the signal, idler, and pump has a strong impact on the temporal and spectral properties of the amplified signal. The amplification efficiency for spectrally incoherent signals is not significantly lower than that of a coherent monochromatic signal, provided that the phase-matching bandwidth is sufficient. The results obtained with the normalized set of equations are in good agreement with simulations based on the full description of the crystals’ dispersion for high-gain lithium triborate and beta barium borate preamplifiers and a low-gain deuterated potassium dihydrogen phosphate power amplifier.

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Equations (24)

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Quantity	Variable
Electric field	$A_{j}$
Normalized electric field	$a_{j}$
Normalized photon flux	$Φ_{j}$
Input time-averaged signal photon flux	$Φ_{s, 0}$
Group velocity	$ν_{j}$
Group velocity mismatch relative to the signal	$δ_{j}$
Time in laboratory frame	$t$
Time in signal frame	$τ$
Dimensionless frequency	$Ω$
Spectral density of the spectrally incoherent process	$S$
Coherence time of the signal	$Δ τ$
rms bandwidth of the signal	$Δ Ω$
Temporal walk-off factor for the pump	$ρ$
Central frequency	$ω_{j}$
Refractive index	$n_{j}$
Effective nonlinear coefficient	$d_{eff}$
Speed of light	$c$
Amplifier nonlinear coefficient	$Γ$
Input pump intensity	$I_{p, 0}$
Crystal length	$L$
Propagation distance in crystal	$z$
Normalized propagation distance in crystal	$Z$

	LBO	BBO	BBO	DKDP (70%)	DKDP (70%)
Type	I	I	II	I	I
Signal central wavelength (nm)	1053, 1030; 1010	700	1500	1053	920
Coherence time (fs)	257	257	257	257; 26	257; 26
Pump wavelength (nm)	526.5	400	800	526.5	526.5
Pump–signal GVM (fs/mm)	46.4; 45.6; 44.8	167.8	–51.2	19.6	16.7
Idler–signal GVM (fs/mm)	0; −1.5; −2.8	−50.2	−85.2	0	0
Crystal thickness at $ρ = 1$ (mm)	5.5	1.5	5.0	13.1; 1.3	15.4; 1.5
Small-signal gain	$10^{6}$	$10^{6}$	$10^{6}$	$10^{2}$	$10^{2}$
Signal–pump flux ratio	$1.3 \times 10^{- 6}$	$1.3 \times 10^{- 6}$	$1.3 \times 10^{- 6}$	$2 \times 10^{- 2}$	$2 \times 10^{- 2}$
Pump intensity at $ρ = 1$ ( $G W / {c m}^{2}$ )	43	56	27	12 ; 1254	12 ; 1254

Quantity	Variable
Electric field	$A_{j}$
Normalized electric field	$a_{j}$
Normalized photon flux	$Φ_{j}$
Input time-averaged signal photon flux	$Φ_{s, 0}$
Group velocity	$ν_{j}$
Group velocity mismatch relative to the signal	$δ_{j}$
Time in laboratory frame	$t$
Time in signal frame	$τ$
Dimensionless frequency	$Ω$
Spectral density of the spectrally incoherent process	$S$
Coherence time of the signal	$Δ τ$
rms bandwidth of the signal	$Δ Ω$
Temporal walk-off factor for the pump	$ρ$
Central frequency	$ω_{j}$
Refractive index	$n_{j}$
Effective nonlinear coefficient	$d_{eff}$
Speed of light	$c$
Amplifier nonlinear coefficient	$Γ$
Input pump intensity	$I_{p, 0}$
Crystal length	$L$
Propagation distance in crystal	$z$
Normalized propagation distance in crystal	$Z$

	LBO	BBO	BBO	DKDP (70%)	DKDP (70%)
Type	I	I	II	I	I
Signal central wavelength (nm)	1053, 1030; 1010	700	1500	1053	920
Coherence time (fs)	257	257	257	257; 26	257; 26
Pump wavelength (nm)	526.5	400	800	526.5	526.5
Pump–signal GVM (fs/mm)	46.4; 45.6; 44.8	167.8	–51.2	19.6	16.7
Idler–signal GVM (fs/mm)	0; −1.5; −2.8	−50.2	−85.2	0	0
Crystal thickness at $ρ = 1$ (mm)	5.5	1.5	5.0	13.1; 1.3	15.4; 1.5
Small-signal gain	$10^{6}$	$10^{6}$	$10^{6}$	$10^{2}$	$10^{2}$
Signal–pump flux ratio	$1.3 \times 10^{- 6}$	$1.3 \times 10^{- 6}$	$1.3 \times 10^{- 6}$	$2 \times 10^{- 2}$	$2 \times 10^{- 2}$
Pump intensity at $ρ = 1$ ( $G W / {c m}^{2}$ )	43	56	27	12 ; 1254	12 ; 1254

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Journal of the Optical Society of America B