Suppression of the Kelvin–Helmholtz instability by coating in the double-cone ignition scheme

In order to address the issue of gold mixing caused by the Kelvin–Helmholtz instability (KHI) in the double-cone ignition (DCI) scheme, we investigate the growth rate of the KHI at the bi-interface of the DCI scheme after applying a coating. This is done by solving the hydrodynamic equations for an ideal incompressible fluid using linear theory. Ultimately, it is discovered that applying a coating with a thickness slightly above h = 0.5(λ + 10 μm) and a density somewhat lower than that of the target layer can effectively reduce the growth rate of interfacial KHI. This work provides theoretical references for studying the bi-interface KHI in the DCI scheme.