Algorithm for Tracing Radio Rays in Solar Corona and Chromosphere

In this paper a new efficient algorithm for computation of radio wave ray trajectories is described. The algorithm is based on an original second-order difference scheme with a specific "length-conservation" property, which allows to resolve the ray shape even in the regions where its curvature is high. Besides the scheme, the algorithm includes a number of mechanisms ensuring its correctness and stability. The algorithm is intended for obtaining multi-pixel solar images in wide range of radio frequencies, and it is designed to be used in studies of the solar environment with modern high-resolution radio interferometers and radio telescopes such as the Murchison Widefield Array