Use of conic targets in inertial confinement fusion

Conic targets are shown to be a promising object for the investigation of cumulative effects, which allow the achievement of high energy densities, and their use in experiments involving highly concentrated energy fluxes can open up new possibilities for investigating the physical properties of matter at extremely high temperatures, pressures, and densities. We outline the main experimental and theoretical results obtained to date that are related to conic target investigations and discuss their several possible applications in the future.