Methodology for designing grism stretchers for idler-based optical parametric chirped-pulse-amplification systems

S. Bucht; D. Haberberger; J. Bromage; D. H. Froula

doi:10.1364/JOSAB.36.002325

Journal of the Optical Society of America B
Vol. 36,
Issue 8,
pp. 2325-2337
(2019)
•https://doi.org/10.1364/JOSAB.36.002325

Methodology for designing grism stretchers for idler-based optical parametric chirped-pulse-amplification systems

S. Bucht, D. Haberberger, J. Bromage, and D. H. Froula

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S. Bucht, D. Haberberger, J. Bromage, and D. H. Froula, "Methodology for designing grism stretchers for idler-based optical parametric chirped-pulse-amplification systems," J. Opt. Soc. Am. B 36, 2325-2337 (2019)

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Table of Contents Category
- Ultrafast Optics
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About this Article
History
- Original Manuscript: May 3, 2019
- Revised Manuscript: July 9, 2019
- Manuscript Accepted: July 10, 2019
- Published: August 1, 2019

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Abstract

Powerful ultrafast lasers with wavelengths above 1 μm are in demand to create attosecond pulses and ultra-intense laser sources. A promising technology to achieve these laser sources uses the by-product from an optical parametric chirped-pulse amplifier, known as the idler. Compression of the idler to high peak powers requires a grism stretcher and a grating compressor. Grism stretchers have many more design parameters than conventional stretchers, complicating the design process. This paper presents a method for designing a grism stretcher and grating compressor that logically navigates the design process. This method was applied to design a grism stretcher for the optical parametric amplifier line that is under construction at the Laboratory for Laser Energetics to produce a 50 mJ, 115 fs pulse at 1170 nm.

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	Phase Order	Stretcher	Stretched Pulse	Treacy Compressor	Compressed Pulse
Typical CPA	GDD	+	+	−	0
Typical CPA	TOD	−	−	+	0
Idler-OPCPA	GDD	−	+	−	0
Idler-OPCPA	TOD	−	−	+	0

Variable	Symbol	Type	Value
Prism material	$n$	Fixed	N-SF57
Prism separation	$L_{p}$	Constrained	265.9 mm
Prism–grating separation	$s$	Constrained	2.7 mm
Prism 1 insertion	$u_{1}$	Constrained	26.6 mm
Grism incident angle	$θ_{s}$	Variable	28.45 deg
Grism grating density	$d_{s}$	Variable	1480 LP/mm
Prism apex	$α$	Variable	45 deg

Variable	Symbol	Type	Value
Compressor grating density	$d_{c}$	Fixed	1285 LP/mm
Grating separation	$L_{g}$	Constrained	709.2 mm
Compressor incident angle	$θ_{c}$	Variable	62.74 deg

Prism Material	Residual FOD ( ${fs}^{4}$ )	Pulse Duration (fs)	Apex Angle (deg)	Prism Face Size (mm)	Prism Base Size (mm)
N-SF57	$1.12 \times 10^{7}$	180	45.0	126	96
N-BK7	$1.55 \times 10^{7}$	184	55.6	120	112
Fused Silica	$1.64 \times 10^{7}$	185	58.2	118	115

Minimizing Technique	GDD ( ${fs}^{2}$ )	TOD ( ${fs}^{3}$ )	FOD ( ${fs}^{4}$ )	Pulse Duration (fs)
Phase orders	4.34	−842	$1.12 \times 10^{7}$	180
Phase integral	$- 5.83 \times 10^{3}$	$8.27 \times 10^{3}$	$1.12 \times 10^{7}$	115
AOPDF	$- 1.26 \times 10^{3}$	$- 1.73 \times 10^{3}$	$- 1.98 \times 10^{6}$	100

	Wavelength	Bandwidth	T-L Pulse Length
Signal	0.830–1.010 μm	180 nm	15 fs
Idler	1.010–1.500 μm	400 nm	Not compressed

Source of Additional Phase	GDD ( ${fs}^{2}$ )	TOD ( ${fs}^{3}$ )	FOD ( ${fs}^{4}$ )
Signal bulk material	$4.72 \times 10^{3}$	$4.84 \times 10^{3}$	$- 2.75 \times 10^{3}$
Angular dispersion compensator	487	$1.92 \times 10^{3}$	$- 1.14 \times 10^{3}$
Idler bulk material	$1.70 \times 10^{3}$	950	−228

Description	Thickness ( $z_{j}$ )	Material ( $n_{j}$ )	Displaced Material ( $n_{j}^{'}$ )	Input Angle ( $γ_{j}$ )	Output Angle ( $γ_{j}^{'}$ )
Grism output surface	$z_{5}$	1	$n$	$γ_{5}$	$γ_{5}^{'}$
Prism–air interface near grating	$z_{4}$	$n$	1	$γ_{4}$	$γ_{4}^{'}$
Grating pair	$z_{3}$	1	1	$γ_{3}$	$γ_{3}^{'}$
Prism–air interface near grating	$z_{2}$	1	$n$	$γ_{2}$	$γ_{2}^{'}$
Grism input surface	$z_{1}$	$n$	1	$γ_{1}$	$γ_{1}^{'}$

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Journal of the Optical Society of America B