The angular nature of the refraction of optical radiation in rain drop

The work is devoted to the development of an algorithm describing the nature of the interaction of directed optical radiation with an optically transparent object of spherical shape – a raindrop. To solve this problem, in the approximation of geometric optics, the relations describing the angular nature of the radiation propagation in the droplet for four reflections from the interface of the two environments under consideration were obtained: air-water. Further, on this basis, the relations were obtained to describe the nature of the angular propagation of radiation outside the droplet for the four interaction points. As a result, the obtained relations were used to obtain digital data on the extreme values of the angles of the two functions: Ψ and φ . These values coincided with the angles of the primary and secondary rainbows formed by the interaction of directed optical radiation with a raindrop. Thus, the correctness of the developed algorithm describing the interaction of directed optical radiation with a raindrop is confirmed. This fact allows the estimation of the parameters of interaction of optical radiation with different values of refractive index, i.e., for other environments.