A short review is represented concerning physicotechnical features of current technologies, plane-wave, converging cylindrical and spherical detonation waves used in physics and chemistry of high energy densities, physics of metals, materials science, machine building, and mining and metallurgical industry. The main drawbacks of existing technologies are shown, and attention is focused on the technical nature of the reasons limiting their application. Attention is paid to solving the problem of simultaneous initiation of detonation of the entire surface layer of a light-sensitive explosive, regardless of the shape of the surface. A physical and mathematical methodology for estimating shock-wave parameters of an explosive during initiation of detonation in it by explosion of the initiation layer of the charge of a lightsensitive explosive composite is proposed. Prospects of practical application of detonation (shock) waves of the specified profile formed by laser ignition of the surface of a light-sensitive explosive composite are discussed. Physicochemical potential of the system of laser initiation of detonation makes it possible to form any wave profiles and get pulses of the intensity from 0.1 to 1.0 kPa⋅s on the surfaces being more than 1 m 2 . Precision and safe system of laser initiation can be used during any types of blasting operations including the ones that cannot be implemented principally, while applying standard systems for initiating explosives and means of explosion.