Effect of Self-Induced Transparency in a Massive of Spherical Quantum Dots Under the Conditions of Strong Dimensional Quantization

The influence of dimensional quantization on the process of self-induced transparency in the system of spherical quantum dots in the frames of the model of the simplest interband transition in the symmetrical spherical infinitely deep wall is considered. Expressions describing the evolution of the energy of ultraviolet pulses are obtained. The relative energy losses when it becomes the 2π-pulse during propagation in a nanoscale medium, and also the polarization of the medium of non-homogeneous broadening, caused by the dispersion of radius of spherical quantum dots are obtained. The case when the radial distribution is described by the Lifshitz-Slyozov formula is considered.