[1] Lindl J D, Amendt P, Berger R L et al. The physics basis for ignition using indirect-drive targets on the National Ignition Facility[J]. Physics of Plasmas, 11, 339-491(2004).

[2] Lindl J. Development of the indirect-drive approach to inertial confinement fusion and the target physics basis for ignition and gain[J]. Physics of Plasmas, 2, 3933-4024(1995).

[3] Rayleigh L. Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density[J]. Proceedings of the London Mathematical Society, s1-14, 170-177(1882).

[4] Taylor G I. The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I[J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 201, 192-196(1950).

[5] Richtmyer R D. Taylor instability in shock acceleration of compressible fluids[J]. Communications on Pure and Applied Mathematics, 13, 297-319(1960).

[6] Meshkov E E. Instability of the interface of two gases accelerated by a shock wave[J]. Fluid Dynamics, 4, 101-104(1969).

[7] [7] Wang Lifeng, Ye Wenhua, He Xiantu, et al. Theetical simulation research of hydrodynamic instabilities in inertialconfinement fusion implosions[J]. Science China Physics, Mechanics & Astronomy, 2017, 60: 055201.

[8] Regan S P, Goncharov V N, Igumenshchev I V et al. Demonstration of fuel hot-spot pressure in excess of 50 Gbar for direct-drive, layered deuterium-tritium implosions on OMEGA[J]. Physical Review Letters, 117, 025001(2016).

[9] Meezan N B, Edwards M J, Hurricane O A et al. Indirect drive ignition at the National Ignition Facility[J]. Plasma Physics and Controlled Fusion, 59, 014021(2017).

[10] Wu Junfeng, Miao Wenyong, Wang Lifeng. Experimental analysis of indirect-drive ablative Rayleigh-Taylor instability on Shenguang II[J]. High Power Laser and Particle Beams, 27, 032009(2015).

[11] Wang Lifeng, Ye Wenhua, Chen Zhu. Review of hydrodynamic instabilities in inertial confinement fusion implosions[J]. High Power Laser and Particle Beams, 33, 012001(2021).

[12] Kuang Yuanyuan, Lu Yan. Study on preheating ablative effects of two-mode Rayleigh-Taylor instability[J]. High Power Laser and Particle Beams, 34, 082203(2022).

[13] Lindl J, Landen O, Edwards J et al. Review of the national ignition campaign 2009-2012[J]. Physics of Plasmas, 21, 020501(2014).

[14] Wang Lifeng, Wu Junfeng, Guo Hongyu et al. Weakly nonlinear Bell-Plesset effects for a uniformly converging cylinder[J]. Physics of Plasmas, 22, 082702(2015).

[15] Wang Lifeng, Guo Hongyu, Wu Junfeng et al. Weakly nonlinear Rayleigh-Taylor instability of a finite-thickness fluid layer[J]. Physics of Plasmas, 21, 122710(2014).

[16] Yuan Yongteng, Miao Wenyong, Ding Yongkun. Preliminary experimental study of Rayleigh-Taylor instability of surface perturbation target[J]. High Power Laser and Particle Beams, 19, 781-784(2007).

[17] Yuan Yongteng, Miao Wenyong, Ding Yongkun. Observation of growth of rear surface perturbation caused by ablation surface[J]. High Power Laser and Particle Beams, 19, 625-628(2007).

[18] Miao Wenyong, Yuan Yongteng, Ding Yongkun. Experiments of radiation-driven Rayleigh-Taylor instability on the Shenguang-II laser facility[J]. High Power Laser and Particle Beams, 27, 032016(2015).

[19] Ding Yongkun, Jiang Shaoen, Liu Shenye. Recent progress on physical experiment and target diagnostics in Research Center of Laser Fusion[J]. High Power Laser and Particle Beams, 25, 3077-3081(2013).

[20] [20] Bell G I. Tayl instability on cylinders spheres in the small amplitude approximation[R]. LA1321, 1951.

[21] Plesset M S, Zwick S A. The growth of vapor bubbles in superheated liquids[J]. Journal of Applied Physics, 25, 493-500(1954).

[22] Epstein R. On the bell–plesset effects: the effects of uniform compression and geometrical convergence on the classical Rayleigh–Taylor instability[J]. Physics of Plasmas, 11, 5114-5124(2004).

[23] Li Bo, Zhang Zhanwen, He Zhibing. Preparation and characterization of inertial confinement fusion capsules[J]. High Power Laser and Particle Beams, 27, 032024(2015).

[24] Mikaelian K O. Rayleigh-taylor and richtmyer-meshkov instabilities and mixing in stratified cylindrical shells[J]. Physics of Fluids, 17, 094105(2005).

[25] Wu Junfeng, Ye Wenhua, Zhang Weiyan. Numerical simulations of Rayleigh-Taylor instability in cylindrical geometry[J]. High Power Laser and Particle Beams, 15, 64-68(2003).

[26] Roycroft R, Sauppe J P, Bradley P A. Double cylinder target design for study of hydrodynamic instabilities in multi-shell ICF[J]. Physics of Plasmas, 29, 032704(2022).

[27] Li Xin, Dai Zhensheng, Zheng Wudi. Scaling formula of ICF ignition targets and study of targets optimized in stability performance[J]. High Power Laser and Particle Beams, 27, 032012(2015).

[28] Zheng Wanguo, Zhang Xiaomin, Wei Xiaofeng et al. Status of the SG-III solid-state laser facility[J]. Journal of Physics: Conference Series, 112, 032009(2008).

[29] Ramis R, Schmalz R, Meyer-Ter-Vehn J. MULTI — a computer code for one-dimensional multigroup radiation hydrodynamics[J]. Computer Physics Communications, 49, 475-505(1988).

[30] Peterson J L, Casey D T, Hurricane O A et al. Validating hydrodynamic growth in national ignition facility implosions[J]. Physics of Plasmas, 22, 056309(2015).

[31] Betti R, Goncharov V N, McCrory R L et al. Growth rates of the ablative Rayleigh–Taylor instability in inertial confinement fusion[J]. Physics of Plasmas, 5, 1446-1454(1998).

[32] Xue Chuang, Fan Zhengfeng, Ye Wenhua. Variational approach for linear growth rate of Rayleigh-Taylor instability with continuous density profile[J]. High Power Laser and Particle Beams, 21, 386-390(2009).