A Frequency Dependent Ray Tracing for a Non-flat Boundary

This paper presents an approach to ray propagation through a non flat boundaries. There is a fundamental problem in a ray based theory application in complex model that particularly contains complex boundaries. In many cases ray based theory breaks down (for example when boundary is rough with respect to wavelength) while physically there is wave propagation and it means actually there is ray propagation. But these rays are not high frequency rays actually these rays depends on frequency. The presented approach gives the way to compute frequency dependent rays within the ray propagation through boundaries. It is based on usage of boundary integrals. Outside the boundary it is a conventional ray tracing. The approach is applicable for ray based imaging and ray based tomography.