Abstract
This work is the result of a study of the impact of photonic technologies on increasing productivity in agriculture. Mathematical models are presented that consider how external optical radiation affects the growth and productivity of crops. Analytical expressions are proposed for the distribution of the electromagnetic field inside a spherical grain. The model must take into account not only the characteristics of the incident field, but also the electrical and geometric characteristics of the cereal grains themselves. A model is considered when a light wave is incident on a spherical surface, the length of which is less than the size of the sphere by about three orders of magnitude. Also, based on the calculations, photonic matrices of the matrix for experiments were made. The main stages of system analysis of an automated control system for low-energy LED radiation are graphically presented.