Электронный каталог

Статья

Stepa, C.A.
Solving the Eikonal Equation by the FSM Method in Julia Language / C.A.Stepa, D.S.Kulyabov, [a.o.] // Discrete and Continuous Models and Applied Computational Science [Electronic resource]. – 2024. – Vol. 32, No. 1. – P. 48-60. – URL: https://journals.rudn.ru/miph/article/view/40099/23709. – Bibliogr.: 16.

There are two main approaches to the numerical solution of the eikonal equation: reducing it to a system of ODES (method of characteristics) and constructing specialized methods for the numerical solution of this equation in the form of a partial differential equation. The latter approach includes the FSM (Fast sweeping method) method. It is reasonable to assume that a specialized method should have greater versatility. Thepurpose of this work is to evaluate the applicability of the FSM method for constructing beams and fronts. The implementation of the FSM method in the Eikonal library of the Julia programming language was used. The method was used for numerical simulation of spherical lenses by Maxwell, Luneburg and Eaton. These lenses were chosen because their optical properties have been well studied. A special case of flat lenses was chosen as the easiest to visualize and interpret the results. The results of the calculations are presented in the form of images of fronts and rays for each of the lenses. From the analysis of the obtained images, it is concluded that the FSM method is well suited for constructing electromagnetic wave fronts. An attempt to visualize ray trajectories based on the results of his work encounters a number of difficulties and in some cases gives an incorrect visual picture.



ОИЯИ = ОИЯИ (JINR)2024
Спец.(статьи,препринты) = С 17 к - Расчеты по молекулярной динамике. Численное моделирование физических задач
Бюллетени = 47/024