[1] R.Betti, E. M.Campbell, D.Cao, A. R.Christopherson, G. W.Collins, T. J. B.Collins, C.Dorrer, M.Farrell, R. K.Follett, D. H.Froula, V. N.Goncharov, V.Gopalaswamy, D. R.Harding, J. P.Knauer, O. M.Mannion, J. A.Marozas, S. F. B.Morse, J. P.Palastro, P. B.Radha, S. P.Regan, M. J.Rosenberg, T. C.Sangster, R.Shah, A. A.Solodov, C.Sorce, M. S.Wei, J. D.Zuegel. Direct-drive laser fusion: Status, plans and future. Philos. Trans. R. Soc., A, 379, 20200011(2021).

[2] K. S.Anderson, R.Betti, T. R.Boehly, T. J. B.Collins, R. S.Craxton, J. A.Delettrez, V. N.Goncharov, D. R.Harding, S. X.Hu, J. P.Knauer, W. L.Kruer, J. A.Marozas, A. V.Maximov, R. L.McCrory, P. W.McKenty, D. D.Meyerhofer, D. T.Michel, J. F.Myatt, P. B.Radha, S. P.Regan, T. C.Sangster, A. J.Schmitt, W.Seka, J. D.Sethian, R. W.Short, S.Skupsky, A. A.Solodov, J. M.Soures, C.Stoeckl, K.Tanaka, W.Theobald, J. D.Zuegel. Direct-drive inertial confinement fusion: A review. Phys. Plasmas, 22, 110501(2015).

[3] R.Betti, D. H.Froula, M. R.Gomez, O. A.Hurricane, P. K.Patel, S. P.Regan, S. A.Slutz, M. A.Sweeney. Physics principles of inertial confinement fusion and U.S. program overview. Rev. Mod. Phys., 95, 025005(2023).

[4] B.Eliasson, C. S.Liu, V. K.Tripathi. High-Power Laser-Plasma Interaction(2020).

[5] D. S.Montgomery. Two decades of progress in understanding and control of laser plasma instabilities in indirect drive inertial fusion. Phys. Plasmas, 23, 055601(2016).

[6] B.Bezzerides, D. F.DuBois, H. X.Vu. Transient enhancement and detuning of laser-driven parametric instabilities by particle trapping. Phys. Rev. Lett., 86, 4306-4309(2001).

[7] B. J.Albright, B.Bergen, K. J.Bowers, S. M.Finnegan, R. K.Kirkwood, J. L.Kline, J.Milovich, D. S.Montgomery, H. A.Rose, L.Yin. Stimulated scattering in laser driven fusion and high energy density physics experiments. Phys. Plasmas, 21, 092707(2014).

[8] B.Afeyan, S.Hüller. Optimal control of laser plasma instabilities using spike trains of uneven duration and delay (STUD pulses) for ICF and IFE. EPJ Web Conf., 59, 05009(2013).

[9] B.Afeyan, B. J.Albright, L.Yin. Control of stimulated Raman scattering in the strongly nonlinear and kinetic regime using spike trains of uneven duration and delay. Phys. Rev. Lett., 113, 045002(2014).

[10] B.Afeyan, S.Hüller. Simulations of drastically reduced SBS with laser pulses composed of a spike train of uneven duration and delay (STUD pulses). EPJ Web Conf., 59, 05010(2013).

[11] L. H.Cao, L.Hao, B.Li, Z. J.Liu, J.Xiang, C. Y.Zheng. Faraday effect on stimulated Raman scattering in the linear region. Plasma Phys. Controlled Fusion, 60, 045008(2018).

[12] L. H.Cao, Z. J.Liu, C. Y.Zheng, Y. Z.Zhou. Suppression of autoresonant stimulated Raman scattering in transversely weakly magnetized plasmas. Plasma Phys. Controlled Fusion, 63, 055015(2021).

[13] X.Guo, Y.Guo, K.Lan, B.Shen, D.Xu, X.Zhang. Suppression of stimulated Raman scattering by angularly incoherent light, towards a laser system of incoherence in all dimensions of time, space, and angle. Matter Radiat. Extremes, 8, 035902(2023).

[14] X.Li, Z.Liu, H.Ma, Z.-M.Sheng, C.Wang, P.Wang, W.Wang, S.-M.Weng, S. H.Yew, J.Zhang. Parametric instabilities and hot electron generation in the interactions of broadband lasers with inhomogeneous plasmas. Nucl. Fusion, 63, 126010(2023).

[15] M.Chen, Z.Sheng, S.Weng, Y.Zhao, J.Zheng, H.Zhuo. Stimulated Raman scattering excited by incoherent light in plasma. Matter Radiat. Extremes, 2, 190-196(2017).

[16] X.-J.Bai, H.-H.Ma, Z.-M.Sheng, S.-M.Weng, Y.Zhao. Mitigation of laser plasma parametric instabilities with broadband lasers. Rev. Mod. Plasma Phys., 7, 1(2022).

[17] P.Gibbon, S.Kawata, X. F.Li, H. H.Ma, Z. M.Sheng, S. M.Weng, S. H.Yew, J.Zhang. Mitigating parametric instabilities in plasmas by sunlight-like lasers. Matter Radiat. Extremes, 6, 055902(2021).

[18] J. I.Karush, J. J.Thomson. Effects of finite-bandwidth driver on the parametric instability. Phys. Fluids, 17, 1608(1974).

[19] X.Chen, Y.Cui, P.Du, W.Feng, S.Fu, Y.Gao, Y.Hua, X.Huang, L.Ji, F.Li, X.Li, D.Liu, J.Liu, J.Liu, W.Ma, W.Pei, D.Rao, C.Shan, H.Shi, Z.Sui, X.Sun, T.Wang, L.Xia, T.Zhang, X.Zhao, J.Zhu. Development of low-coherence high-power laser drivers for inertial confinement fusion. Matter Radiat. Extremes, 5, 065201(2020).

[20] R.Betti, E. M.Campbell, D.Cao, A. R.Christopherson, J. A.Delettrez, D. H.Edgell, R.Epstein, C. J.Forrest, M.Gatu Johnson, V.Gopalaswamy, J.Howard, D.Patel, J. L.Peebles, S. P.Regan, M. J.Rosenberg, W.Seka, R.Simpson, A. A.Solodov, C.Stoeckl, W.Theobald, M. S.Wei. Direct measurements of DT fuel preheat from hot electrons in direct-drive inertial confinement fusion. Phys. Rev. Lett., 127, 055001(2021).

[21] J.Bates, R.Follett, D.Kehne, T.Kessler, R.Lehmberg, J.Myatt, M.Myers, S.Obenschain, J.Shaw, J.Weaver, M.Wolford. Suppressing cross-beam energy transfer with broadband lasers. High Energy Density Phys., 36, 100772(2020).

[22] L.-h.Cao, Y.Chen, Z.Liu, C.Xiao, C.Zheng. Effects of frequency-modulated pump on stimulated Brillouin scattering in inhomogeneous plasmas. Plasma Phys. Controlled Fusion, 65, 125002(2023).

[23] C.Dorrer, R. K.Follett, D. H.Froula, J. F.Myatt, J. P.Palastro, J. G.Shaw. Thresholds of absolute instabilities driven by a broadband laser. Phys. Plasmas, 26, 062111(2019).

[24] R. K.Follett, D. H.Froula, J. F.Myatt, J. P.Palastro, J. G.Shaw, H.Wen. Thresholds of absolute two-plasmon-decay and stimulated Raman scattering instabilities driven by multiple broadband lasers. Phys. Plasmas, 28, 032103(2021).

[25] C.-S.Liu, C.Ren, Z.-M.Sheng, S.-M.Weng, L.-L.Yu, Y.Zhao, J.Zheng. Effects of large laser bandwidth on stimulated Raman scattering instability in underdense plasma. Phys. Plasmas, 22, 052119(2015).

[26] R. K.Follett, D. H.Froula, A. V.Maximov, J. P.Palastro, F. S.Tsung, H.Wen. Suppressing the enhancement of stimulated Raman scattering in inhomogeneous plasmas by tuning the modulation frequency of a broadband laser. Phys. Plasmas, 28, 042109(2021).

[27] H. B.Cai, Y. Q.Gao, Q. K.Liu, Q.Wang, E. H.Zhang, W. S.Zhang, S. P.Zhu. Non-linear stimulated Raman back-scattering burst driven by a broadband laser. Phys. Plasmas, 29, 102105(2022).

[28] X. Z.Li, F. Q.Shao, C. Z.Xiao, Y.Yin, H. Y.Zhou, H. B.Zhuo, D. B.Zou. Numerical study of bandwidth effect on stimulated Raman backscattering in nonlinear regime. Phys. Plasmas, 25, 062703(2018).

[29] M.Chen, C.Ren, Z.Sheng, S.Weng, J.Zhang, Y.Zhao, J.Zheng, H.Zhuo. Effective suppression of parametric instabilities with decoupled broadband lasers in plasma. Phys. Plasmas, 24, 112102(2017).

[30] R. H.Lehmberg, S. P.Obenschainet?al.. Use of induced spatial incoherence for uniform illumination of laser fusion targets. Conference on Lasers and Electro-Optics(1983).

[31] J. W.Goodman. Wiley Series in Pure and Applied Optics. Statistical Optics(2015).

[32] T.Borger, C.Dorrer, S.Herman, E. M.Hill, M.Spilatro. Broadband sum-frequency generation of spectrally incoherent pulses. Opt. Express, 29, 16135(2021).

[33] H.An, Z.Fang, W.Feng, S.Fu, Y.Gao, Z.He, G.Jia, H.Shi, J.Sun, C.Wang, P.Wang, R.Wang, W.Wang, L.Xia, Z.Xie, J.Xiong, S.Zheng. Backward scattering of laser plasma interactions from hundreds-of-joules broadband laser on thick target. Matter Radiat. Extremes, 9, 015602(2024).

[34] H.An, Y.Cui, Z.Fang, W.Feng, S.Fu, Y.Gao, X.Huang, L.Ji, N.Kang, A.Lei, H.Liu, Z.Liu, Y.Tu, L.Wang, R.Wang, W.Wang, L.Xia, Z.Xie, J.Xiong, G.Xu, X.Zhao, Y.Zhao, C.Zheng, S.Zhou, X.Zhou. Reduction of backward scatterings at the low-coherence kunwu laser facility. Phys. Rev. Lett., 132, 035102(2024).

[35] H.-b.Cai, X.-x.Yan, P.-l.Yao, S.-p.Zhu. Hybrid fluid–particle modeling of shock-driven hydrodynamic instabilities in a plasma. Matter Radiat. Extremes, 6, 035901(2021).

[36] B.Bezzerides, J. A.Cobble, D. F.DuBois, R. P.Johnson, J. L.Kline, D. S.Montgomery, H. A.Rose, H. X.Vu, L.Yin. Observation of a transition from fluid to kinetic nonlinearities for Langmuir waves driven by stimulated Raman backscatter. Phys. Rev. Lett., 94, 175003(2005).

[37] J. E.Fahlen, W. B.Mori, F. S.Tsung, B. J.Winjum. Effects of plasma wave packets and local pump depletion in stimulated Raman scattering. Phys. Rev. E, 81, 045401(2010).

[38] W. B.Mori, A.Tableman, F. S.Tsung, B. J.Winjum. Interactions of laser speckles due to kinetic stimulated Raman scattering. Phys. Plasmas, 26, 112701(2019).

[39] J. M.Dawson, W. L.Kruer, R. N.Sudan. Trapped-particle instability. Phys. Rev. Lett., 23, 838-841(1969).

[40] T.O’Neil. Collisionless damping of nonlinear plasma oscillations. Phys. Fluids, 8, 2255(1965).

[41] R. L.Berger, S.Brunner, B. I.Cohen, L.Hausammann, E. J.Valeo. Kinetic simulations and reduced modeling of longitudinal sideband instabilities in non-linear electron plasma waves. Phys. Plasmas, 21, 102104(2014).

[42] S. S.Ban, L. H.Cao, Q. S.Feng, Y.Jiang, Z. J.Liu, Y. X.Wang, R.Xie, T.Yang, S. T.Zhang, C. Y.Zheng, Y. Z.Zhou. Saturation of trapped particle instability induced by vortex-merging in electron plasma waves. Plasma Phys. Controlled Fusion, 62, 095009(2020).

[43] X. T.He, C. S.Liu, Z. J.Liu, Q.Wang, Y. X.Wang, C. Y.Zheng. Nonlinear transition from convective to absolute Raman instability with trapped electrons and inflationary growth of reflectivity. Phys. Plasmas, 25, 100702(2018).

[44] B.Bezzerides, E.Dodd, D.DuBois, H.Vu, L.Yin. Nonlinear spectral signatures and spatiotemporal behavior of stimulated Raman scattering from single laser speckles. Phys. Rev. Lett., 95, 245003(2005).

[45] B. J.Albright, K. J.Bowers, W.Daughton, H. A.Rose, L.Yin. Saturation of backward stimulated scattering of a laser beam in the kinetic regime. Phys. Rev. Lett., 99, 265004(2007).

[46] S.Brunner, E. J.Valeo. Trapped-particle instability leading to bursting in stimulated Raman scattering simulations. Phys. Rev. Lett., 93, 145003(2004).

[47] M.Ma?ek, K.Rohlena. Stimulated Raman scattering in the presence of trapped particle instability. Commun. Nonlinear Sci. Numer. Simul., 13, 125-129(2008).

[48] B. J.Albright, B.Bergen, K. J.Bowers, J. C.Fernández, J. L.Kline, D. S.Montgomery, H. A.Rose, L.Yin. Onset and saturation of backward stimulated Raman scattering of laser in trapping regime in three spatial dimensions. Phys. Plasmas, 16, 113101(2009).

[49] B. J.Albright, B.Bergen, K. J.Bowers, R. K.Kirkwood, H. A.Rose, L.Yin. Self-organized bursts of coherent stimulated Raman scattering and hot electron transport in speckled laser plasma media. Phys. Rev. Lett., 108, 245004(2012).

[50] B. J.Albright, B.Bergen, K. J.Bowers, R. K.Kirkwood, J. L.Kline, P.Michel, D. S.Montgomery, H. A.Rose, L.Yin. Self-organized coherent bursts of stimulated Raman scattering and speckle interaction in multi-speckled laser beams. Phys. Plasmas, 20, 012702(2013).

[51] B. J.Albright, R. F.Bird, A.Seaton, D. J.Stark, L.Yin. Forward and backward stimulated Raman scattering in multi-speckled beams: Density dependence and effects on cross-beam energy transfer. Phys. Plasmas, 28, 022702(2021).

[52] L.Chacon, G.Chen, L.Green, B. M.Haines, T. B.Nguyen, D. J.Stark, L.Yin. Nonlinear models for coupling the effects of stimulated Raman scattering to inertial confinement fusion codes. Phys. Plasmas, 30, 042714(2023).