Suppression of Stimulated Raman Scattering and Stimulated Brillouin Scattering in Weakly Magnetized Plasmas

doi:10.19596/j.cnki.1001-246x.8569

Abstract

Abstract:

Finding ways to suppress stimulated Raman scattering(SRS) and stimulated Brillouin scattering(SBS) is an important subject in inertial confinement fusion(ICF). Under the typical laser fusion plasma conditions, the effects of transverse magnetic field and laser bandwidth on the suppression of SRS and SBS are studied by utilizing the particle-in-cell(PIC) program. It is found that the transverse magnetic field can significantly inhibit the autoresonance of SRS in the non-uniform plasma. The transverse magnetic field accelerates the electrons trapped in the electron plasma wave(EPW) excited by SRS, which causes the nonlinear damping and reduces the nonlinear frequency shift of the EPW, thus narrowing the autoresonance space and significantly reducing the SRS reflectivity. Based on the characteristics that SRS can be suppressed by a transverse magnetic field and the SBS growth is sensitive to the laser bandwidth, a scheme is proposed that utilizing the transverse magnetic field and the broadband laser to suppress SRS and SBS simultaneously. When the transverse magnetic field is on the order of 10 T and the bandwidth is on the order of 0.001, both of which are easy to achieve in experiments, the total reflectivity of SRS and SBS can be effectively suppressed in the ICF-related plasmas.

Key words: stimulated Raman scattering, stimulated Brillouin scattering, nonlinear kinetic effect, magnetized plasma, autoresonance

Yuanzhi ZHOU, Chunyang ZHENG, Zhanjun LIU, Lihua CAO, Ruijin CHENG, Xiantu HE. Suppression of Stimulated Raman Scattering and Stimulated Brillouin Scattering in Weakly Magnetized Plasmas[J]. Chinese Journal of Computational Physics, 2023, 40(2): 136-146.

Figures/Tables 9

Fig.1 Snapshot of the spatial evolution of EPWs in different Bext when I0 = 5 × 1015 W ·cm-2

Fig.2 (a) Reflectivity of the scattered light at the left boundary when I0 = 5 × 1015 W ·cm-2. The green dash-dot line and black dotted line represent the initial seed level and the level expected by kinetic amplification respectively. T0 is the period of pump light. Frequency distributions of the scattered light waves at the left boundary when (b) Bext=0 or (c) Bext=90 T.

Fig.3 Time averaged SRS reflectivity under different magnetic fields and different pump lights (The seed light intensity is 1/500 of the pump light, and the simulation time is 3.5 ps.)

Fig.4 Orbit of an electron in the particle-in-cell (PIC) (ωL/ωc=87.4, ωB/ωc=15.7, vpL/c=0.15.)

Fig.5 The electron distribution in px-py space at t=600 T0

Table 1 Main parameters of SBS and SRS

散射机制	kλ_De	ω/ω₀	γ₀/ω₀	ν_LD	G
SBS	0.367	0.997	5.63 × 10^-4	-0.104ω_a	3.65
SRS	0.313	0.276	2.25 × 10^-3	-0.0144ω_L	4.46

Fig.6 (a) The reflectivity changes with the bandwidth of the pump light when Bext= 0; (b) The reflectivity changes with the intensity of transverse magnetic field when the incident light is monochromatic

Fig.7 When the fixed bandwidth is 2 × 10-3ω0, the reflectivity of SRS and SBS changes with the intensity of transverse magnetic field

Table 2 Transmittivity in different schemes

无抑制方案	2 × 10^-3带宽	20 T横向磁场	带宽+磁场
0.788	0.837	0.850	0.941

References 46

1	HINKEL D E , ROSEN M D , WILLIAMS E A , et al. Stimulated Raman scatter analyses of experiments conducted at the National Ignition Facility[J]. Phys Plasmas, 2011, 18 (5): 056312. DOI
2	DEWALD E L , HARTEMANN F , MICHEL P , et al. Generation and beaming of early hot electrons onto the capsule in laser-driven ignition hohlraums[J]. Phys Rev Lett, 2016, 116 (7): 075003. DOI
3	YU Chengxin , FAN Zhengfeng , LIU Jie , et al. Modeling of shell-mixing into central hotspot in inertial confinement fusion implosion[J]. Chinese Journal of Computational Physics, 2017, 34 (4): 379- 386. DOI
4	YIN L , ALBRIGHT B J , BOWERS K J , et al. Saturation of backward stimulated scattering of laser in kinetic regime: Wavefront bowing, trapped particle modulational instability, and trapped particle self-focusing of plasma waves[J]. Phys Plasmas, 2008, 15 (1): 013109. DOI
5	O'NEIL T . Collisionless damping of nonlinear plasma oscillations[J]. Phys Fluids, 1965, 8 (12): 2255- 2262. DOI
6	VU H X V , DUBIOS D F , BEZZERIDES B . Inflation threshold: A nonlinear trapping-induced threshold for the rapid onset of stimulated Raman scattering from a single laser speckle[J]. Phys Plasmas, 2007, 14 (1): 012702. DOI
7	WANG Qing , LIU Zhanjun , ZHENG Chunyang , et al. Transition from convective to absolute Raman instability via the longitudinal relativistic effect by using Vlasov-Maxwell simulations[J]. Phys Plasmas, 2018, 25 (1): 012708. DOI
8	WANG Yanxia , WANG Qing , ZHENG Chunyang , et al. Nonlinear transition from convective to absolute Raman instability with trapped electrons and inflationary growth of reflectivity[J]. Phys Plasmas, 2018, 25 (10): 100702. DOI
9	MORALES G J , O'NEIL T M . Nonlinear frequency shift of an electron plasma wave[J]. Phys Rev Lett, 1972, 28 (7): 417- 420. DOI
10	LI Xin , WU Changshu , ZOU Shiyang , et al. 2D-simulation design of an ignition hohlraum[J]. Chinese Journal of Computational Physics, 2013, 30 (3): 371- 378.
11	LI Lingxiao , ZHAI Chuanlei , XIE Hui , et al. A monolithic preconditioned iterative solver and parallel computing for three-dimensional thermal radiation transport equation[J]. Chinese Journal of Computational Physics, 2021, 38 (3): 269- 279.
12	KLIMO O , WEBER S , TIKHONCHUK V T , et al. Particle-in-cell simulations of laser-plasma interaction for the shock ignition scenario[J]. Plasma Phys Control Fusion, 2010, 52 (5): 055013. DOI
13	ZHANG Hanchu , XIAO Chengzhuo , WANG Qing , et al. Effect of density modulation on backward stimulated Raman scattering in a laser-irradiated plasma[J]. Phys Plasmas, 2017, 24 (3): 032118. DOI
14	FERNANDEZ J C , COBBLE J A , FAILOR B H , et al. Observed dependence of stimulated Raman scattering on ion-acoustic damping in hohlraum plasmas[J]. Phys Rev Lett, 1996, 77 (13): 2702- 2705. DOI
15	KIRKWOOD R K , MACGOWAN B J , MONTGOMERY D S , et al. Effect of ion-wave damping on stimulated Raman scattering in high-Z laser-produced plasmas[J]. Phys Rev Lett, 1996, 77 (13): 2706- 2709. DOI
16	XU Feng , CAO Lihua . Theoretical and numerical studies on stimulated Raman scattering by a chirped laser pulse[J]. Chinese Journal of Computational Physics, 2011, 28 (4): 589- 597.
17	ZHAO Yao , YU Lule , ZHENG Jun , et al. Effects of large laser bandwidth on stimulated Raman scattering instability in underdense plasma[J]. Phys Plasmas, 2015, 22 (5): 052119. DOI
18	ZHAO Yao , WU C F , WENG Suming , et al. Mitigation of multibeam stimulated Raman scattering with polychromatic light[J]. Plasma Phys Control Fusion, 2021, 63 (5): 055006. DOI
19	DORRER C , HILL E M , ZUEGEL J D . High-energy parametric amplification of spectrally incoherent broadband pulses[J]. Opt Express, 2020, 28 (1): 451- 471. DOI
20	BATES J W , MYATT J F , SHAW J G , et al. Mitigation of cross-beam energy transfer in inertial confinement-fusion plasmas with enhanced laser bandwidth[J]. Phys Rev E, 2018, 97 (6): 06120.
21	DIVOL L . Controlling stimulated Brillouin backscatter with beam smoothing in weakly damped systems[J]. Phys Rev Lett, 2007, 99 (15): 155003. DOI
22	FROULA D H , DIVOL L , BERGER R L , et al. Direct measurements of an increased threshold for stimulated brillouin scattering with polarization smoothing in ignition hohlraum plasmas[J]. Phys Rev Lett, 2008, 101 (11): 115002. DOI
23	FUJIOKA S , ZHANG Z , ISHIHARA K , et al. Kilotesla magnetic field due to a capacitor-coil target driven by high power laser[J]. Sci Rep, 2013, 3, 1170. DOI
24	WAGNER U , TATARAKIS M , GOPAL A , et al. Laboratory measurements of 0.7 GG magnetic fields generated during high-intensity laser interactions with dense plasmas[J]. Phys Rev E, 2004, 70 (2): 026401. DOI
25	PERKINS L J , LOGAN B G , ZIMMERMAN G B , et al. Two-dimensional simulations of thermonuclear burn in ignition-scale inertial confinement fusion targets under compressed axial magnetic fields[J]. Phys Plasmas, 2013, 20 (7): 072708. DOI
26	JOGLEKAR A S , RIDGERS C P , KINGHAM R J , et al. Kinetic modeling of Nernst effect in magnetized hohlraums[J]. Phys Rev E, 2016, 93 (4): 043206. DOI
27	MONTGOMERY D S , ALBRIGHT B J , BARNAK D H , et al. Use of external magnetic fields in hohlraum plasmas to improve laser-coupling[J]. Phys Plasmas, 2015, 22 (1): 010703. DOI
28	LIU Z J , LI B , XIANG J , et al. Faraday effect on stimulated Raman scattering in the linear region[J]. Plasma Phys Control Fusion, 2018, 60 (4): 045008. DOI
29	YIN L , ALBRIGHT B J , ROSE H A , et al. Self-organized coherent bursts of stimulated Raman scattering and speckle interaction in multi-speckled laser beams[J]. Phys Plasmas, 2013, 20 (1): 012702. DOI
30	SAJAL V , DAHIYA D , TRIPATHI V K . Stimulated forward Raman scattering of a laser in a magnetized plasma[J]. Phys Plasmas, 2007, 14 (3): 032109. DOI
31	KATSOULEAS T , DAWSON J M . Unlimited electron acceleration in laser-driven plasma waves[J]. Phys Rev Lett, 1983, 51 (5): 392- 395. DOI
32	DAWSON J M , DECYK V K , HUFF R W , et al. Damping of large-amplitude plasma waves propagating perpendicular to the magnetic field[J]. Phys Rev Lett, 1983, 50 (19): 1455- 1458. DOI
33	DIECKMANN M E , SIRCOMBE N J , PARVIAINEN M , et al. Phase speed of electrostatic waves: The critical parameter for efficient electron surfing acceleration[J]. Plasma Phys Control Fusion, 2006, 48 (4): 489- 508. DOI
34	VIEIRA J , MARTINS J L , PATHAK V B , et al. Magnetically assisted self-injection and radiation generation for plasma-based acceleration[J]. Plasma Phys Control Fusion, 2012, 54 (12): 124044. DOI
35	KRASOVSKY V L . Damping of a plasma wave with trapped electrons in a weak transverse magnetic field[J]. Plasma Phys Rep, 2007, 33, 839- 849. DOI
36	WINJUM B J , TSUNG F S , MORI W B . Mitigation of stimulated Raman scattering in the kinetic regime by external magnetic fields[J]. Phys Rev E, 2018, 98 (4): 043208. DOI
37	YAAKOBI O , FRIEDLAND L , LINDBERG R R , et al. Spatially autoresonant stimulated Raman scattering in nonuniform plasmas[J]. Phys Plasmas, 2008, 15 (3): 032105. DOI
38	CHAPMAN T , MASSON-LABORDE P E , HULLER S , et al. Driven spatially autoresonant stimulated Raman scattering in the kinetic regime[J]. Phys Plasmas, 2010, 17 (12): 122317. DOI
39	DRAKE J F , KAW P K , LEE Y C , et al. Parametric instabilities of electromagnetic waves in plasmas[J]. Phys Fluids, 1974, 17 (4): 778- 785. DOI
40	WANG Qing , ZHENG Chunyang , LIU Zhanjun , et al. Auto-resonant stimulated Brillouin backscattering in supersonic flowing plasmas by fully kinetic Vlasov simulations[J]. Plasma Phys Control Fusion, 2019, 61 (8): 085017. DOI
41	TANG C L . Saturation and spectral characteristics of the stokes emission in the stimulated Brillouin process[J]. J Appl Phys, 1966, 37 (8): 2945- 2955. DOI
42	BERGER R L , BRUNNER S , CHAPMAN T , et al. Electron and ion kinetic effects on nonlinearly driven electron plasma and ion acoustic waves[J]. Phys Plasmas, 2013, 20 (3): 032107. DOI
43	DEWAR R L , KRUER W L , MANHEIMER W M . Modulational instabilities due to trapped electrons[J]. Phys Rev Lett, 1972, 28 (4): 215- 217. DOI
44	ARBER T D , BENNETT K , BRADY C S , et al. Contemporary particle-in-cell approach to laser-plasma modelling[J]. Plasma Phys Control. Fusion, 2015, 57 (11): 1- 26.
45	FARMER W A , KONING J M , STROZZI D J , et al. Simulation of self-generated magnetic fields in an inertial fusion hohlraum environment[J]. Phys Plasmas, 2017, 24 (5): 052703. DOI
46	KARNER C F F . Stochastic ion heating by a lower hybrid wave[J]. Phys Fluids, 1978, 21 (9): 1584- 1599. DOI

[1]	Zhanjun LIU, Qiang WANG, Wenshuai ZHANG, Bin LI, Jiwei LI, Lihua CAO, Chunyang ZHENG, Xiantu HE. Application of Three Dimensional Large Scale Laser Plasma Interaction Code (LAP3D) in Bundled Beam Experiments [J]. Chinese Journal of Computational Physics, 2023, 40(2): 169-180.
[2]	Hualong YU, Shiyu WANG, Jiachen WU. Analysis of Optical Power Limit of Injection Fiber for Long Distance Transmission of High Power Laser in Single Mode Fiber [J]. Chinese Journal of Computational Physics, 2022, 39(2): 173-178.
[3]	ZHENG Zhaowen, YANG Lixia. 3D Modified Novel PML Absorbing Boundary Condition for Truncating Magnetized Plasma [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 30(6): 895-901.
[4]	XU Feng, CAO Lihua. Theoretical and Numerical Studies on Stimulated Raman Scattering by a Chirped Laser Pulse [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 28(4): 589-597.
[5]	ZHONG Shuangying, LIU Song. Efficient FDTD Algorithm for Anisotropic Magnetized Plasma [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(3): 415-421.
[6]	HUANG Shou-jiang, LI Fang. A Finite-Difference Time-Domain Analysis of Electromagnetic Propagation in Magnetized Plasmas [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 22(4): 319-324.
[7]	Yao Duanzheng, Xiong Guiguang. NUMERICAL ANGLYSIS OF STIMULATED RAMAN SCATTERING IN SOLITON DISPERSION REGIME OF OPTICAL FIBERS [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 9(S2): 704-706.