The book is devoted to research of distribution of light in narrow beams of light (including laser beams). Such approach corresponds to approach of the great Italian physicist and mathematician and Jesuit F.M. Grimaldi. As early as 17th century he was engaged in researches of narrow beams of light for clarification of the nature of light and discovered the phenomenon of light diffraction. Our calculations are based on consideration of binomial distributions. The correlation of distribution of rays and the system of numbers placed in the three-dimensional table, the nonlinear arithmetic...

The book is devoted to the geometrical description of narrow beams of light and other processes in long tubes. In this work the symmetric (symmetrically numbered) Pascals triangle is described and the new evident model "a nonlinear arithmetic parallelepiped", for the numerical description of "binary rays system" and for an illustration of process of distribution of the branching system of paraxial (Gaussian) beams and wavy trajectories is offered. The offered new model can be useful to approximate and formal, but evident geometrical interpretation of processes of the movement of particles and...