Scaling for ultrashort pulse amplification in plasma via backward Raman amplification scheme operating in the short wavelength regime

S. K. Mishra; A. Andreev

doi:10.1364/JOSAB.35.000A56

Journal of the Optical Society of America B
Vol. 35,
Issue 4,
pp. A56-A66
(2018)
•https://doi.org/10.1364/JOSAB.35.000A56

Scaling for ultrashort pulse amplification in plasma via backward Raman amplification scheme operating in the short wavelength regime

S. K. Mishra and A. Andreev

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S. K. Mishra and A. Andreev, "Scaling for ultrashort pulse amplification in plasma via backward Raman amplification scheme operating in the short wavelength regime," J. Opt. Soc. Am. B 35, A56-A66 (2018)

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Abstract

The applicability of extreme ultraviolet (XUV) and soft x-ray radiation sources in a resonant backward Raman amplification (BRA) scheme in amplifying the weak ultrashort sub-femtosecond pulses has been examined. Utilizing the slowly-varying-envelope-approximation-based analytical expressions for the resonant three-wave interaction along with viable physics constraint, a parameter space configuring the laser/plasma features required to achieve significant pulse amplification and compression has been derived. A specific parametric configuration for resonant BRA operation in the short wavelength regime has been identified and validated using particle in cell simulation results. The outcome predicts that the resonant BRA scheme may efficiently be applied to amplify the weak pulses for the pump radiation operating within the XUV regime; the effect may be optimized via efficient tuning of the plasma density, pump pulse intensity, and wavelength of the interacting waves. As an illustration, resonant BRA scheme in reference to a DESY FLASH XUV laser source has been conceptualized, and a competent set of laser/plasma parameters in achieving significant amplification is configured. The limitations and plausible rectification for a practical execution of the resonant BRA have also been discussed.

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Parameters	Data
Photon energy	(28–300) eV
Wavelength spectra (fundamental)	(6.5–47) nm
Average peak pulse power	(1–5) GW
Pulse duration (fwhm)	(10–50) fs

Pump Laser Parameters
	XUV (FLASH)	X-ray (XFEL)
Wave length ( $λ_{0}$ , nm)	10.0	4.0
Pulse freq. ( $ω_{0}$ , $s^{- 1}$ )	$\sim 1.89 \times 10^{17}$	$\sim 4.71 \times 10^{17}$
Pulse length ( $τ_{0}$ , fs)	$\sim 10 fs$	$\sim 100$
Peak power (GW)	$\sim 1.5$	$\sim 15.0$
Peak intensity ( $W {cm}^{- 2}$ )	$1.5 \times 10^{19}$	$1.5 \times 10^{19}$
Spot size ( ${μm}^{2}$ )	0.01	0.1
Seed Laser Parameters
Wave length ( $λ_{1}$ , nm)	15.0	6.0
Pulse freq. ( $ω_{1}$ , $s^{- 1}$ )	$\sim 1.25 \times 10^{17}$	$\sim 3.14 \times 10^{17}$
Pulse length ( $τ_{1}$ , fs)	0.5
Peak intensity ( $W {cm}^{- 2}$ )	$1.5 \times 10^{15}$
Output
L-w threshold $I_{br}$ ( $W {cm}^{- 2}$ )	$\sim 1.11 \times 10^{20}$	$\sim 6.91 \times 10^{20}$
Plasma density ( $n_{e}$ , ${cm}^{- 3}$ )	$\sim 1.25 \times 10^{24}$	$\sim 7.78 \times 10^{24}$
L-w freq. ( $ω_{2}$ , $s^{- 1}$ )	$\sim 6.28 \times 10^{16}$	$\sim 1.57 \times 10^{17}$
Pulse duration ( $Δ t_{1}$ , as)	$\sim 263$	$\sim 193$
Amplification time ( $t_{M}$ , fs)	$\sim 8.7$	$\sim 11.8$
Output fluence ( $J {cm}^{- 2}$ )	$\sim 6.30 \times 10^{4}$	$\sim 4.07 \times 10^{4}$
Output intensity ( $W {cm}^{- 2}$ )	$\sim 2.40 \times 10^{20}$	$\sim 2.10 \times 10^{20}$
Amplification factor	$\sim 1.60 \times 10^{5}$	$\sim 5.42 \times 10^{4}$

Parameters	Data
Photon energy	(28–300) eV
Wavelength spectra (fundamental)	(6.5–47) nm
Average peak pulse power	(1–5) GW
Pulse duration (fwhm)	(10–50) fs

Pump Laser Parameters
	XUV (FLASH)	X-ray (XFEL)
Wave length ( $λ_{0}$ , nm)	10.0	4.0
Pulse freq. ( $ω_{0}$ , $s^{- 1}$ )	$\sim 1.89 \times 10^{17}$	$\sim 4.71 \times 10^{17}$
Pulse length ( $τ_{0}$ , fs)	$\sim 10 fs$	$\sim 100$
Peak power (GW)	$\sim 1.5$	$\sim 15.0$
Peak intensity ( $W {cm}^{- 2}$ )	$1.5 \times 10^{19}$	$1.5 \times 10^{19}$
Spot size ( ${μm}^{2}$ )	0.01	0.1
Seed Laser Parameters
Wave length ( $λ_{1}$ , nm)	15.0	6.0
Pulse freq. ( $ω_{1}$ , $s^{- 1}$ )	$\sim 1.25 \times 10^{17}$	$\sim 3.14 \times 10^{17}$
Pulse length ( $τ_{1}$ , fs)	0.5
Peak intensity ( $W {cm}^{- 2}$ )	$1.5 \times 10^{15}$
Output
L-w threshold $I_{br}$ ( $W {cm}^{- 2}$ )	$\sim 1.11 \times 10^{20}$	$\sim 6.91 \times 10^{20}$
Plasma density ( $n_{e}$ , ${cm}^{- 3}$ )	$\sim 1.25 \times 10^{24}$	$\sim 7.78 \times 10^{24}$
L-w freq. ( $ω_{2}$ , $s^{- 1}$ )	$\sim 6.28 \times 10^{16}$	$\sim 1.57 \times 10^{17}$
Pulse duration ( $Δ t_{1}$ , as)	$\sim 263$	$\sim 193$
Amplification time ( $t_{M}$ , fs)	$\sim 8.7$	$\sim 11.8$
Output fluence ( $J {cm}^{- 2}$ )	$\sim 6.30 \times 10^{4}$	$\sim 4.07 \times 10^{4}$
Output intensity ( $W {cm}^{- 2}$ )	$\sim 2.40 \times 10^{20}$	$\sim 2.10 \times 10^{20}$
Amplification factor	$\sim 1.60 \times 10^{5}$	$\sim 5.42 \times 10^{4}$

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Journal of the Optical Society of America B