LIMU research on the development of numerical algorithms for solving the wide-angle parabolic equation in the description of ultrasonic beams in inhomogeneous media is supported by a grant from the Russian Science Foundation
The Russian Science Foundation summed up the results of the competition of projects of small individual scientific groups in 2022. The project of Petr Yuldashev «Development of theoretical approaches and numerical algorithms for solving the wide-angle parabolic equation in the description of ultrasonic beams in inhomogeneous media for medical acoustics problems» is supported. The project is aimed at investigating the possibility of applying and refining methods for solving a three-dimensional wide-angle parabolic equation for the case of focusing ultrasonic beams in inhomogeneous media such as biological tissue. As one of the options, it is proposed to rely on iterative methods using approximation of spatial derivatives by transverse coordinates in Fourier space. The solution of this problem will be an important step in the development of theoretical methods for calculating ultrasonic fields applicable to a wide class of tasks in the field of medical ultrasound. Congratulations to Petr and the whole LIMU team with the new grant!