Mathematical modeling of influence of localized gravitational noise on propagation of electromagnetic radiation in gravitational fieldmathematical modeling of influence of localized gravitational noise on propagation of electromagnetic radiation in gravitational field

Numerical-analytical method of modeling of propagation direction and group delay of electromagnetic radiation in gravitational field of group of astrophysical objects in presence of localized gravitational noise is offered. The method is based on the solution of stochastic Lagrange–Euler differential equations received from Fermat's variation principle. Propagation of radiation in stochastic gravitational field under consideration as process in Euclid space with effective index refraction of vacuum expressed through gravitational potential. Theory of disturbances is used for calculation of fluctuations of propagation direction of radiation and estimation of stochastic Shapiro effect. Results of calculations of side deviations and additional group delay of radiation for various parameters of gravitational noise in gravitational field of group of astrophysical objects are presented.