Effect of multiple scattering on the critical density of the energy of the PETN – aluminium compound initiated by a neodymium laser pulse

The radiation transfer equation and the Mie theory are used in this paper to determine the optical properties of the PETN – aluminum nanoparticles compounds. In the case of laser initiation with a wavelength of 1064 nm, the illumination gain factor at a depth of 100 $\mu$m from the surface of the sample varies in the range from 1.070–3.308 for nanoparticles with the radius equal to 20–200 nm. The minimum dependence of the initiation energy density of explosive decomposition on the mass fraction of nanoparticles can be determined by the maximum value of the illumination gain factor in the sample. The dependences of the critical energy density of the initiation of the PETN – aluminum nanoparticles compound by pulses of the first and second harmonics of a neodymium laser on the nanoparticle radius with account for multiple scattering of light are determined. It is shown that account for the multiple scattering of light allows improving the agreement between theory and experiment.