RAY-TRACING SEMICLASSICAL (RTS) PHASED GEOMETRICAL METHOD EXTENDED TO BROKEN STRAIGHT LINES TRAJECTORIES

Ray-tracing semiclassical (RTS) geometrical method relies on the construction of the Green’s function of the amplitude equation by employing the semiclassical propagator. The method is classified as a phased geometrical method capable of modeling interference effects. Nevertheless, due to diffraction, the method cannot be used in the lower frequency range for general geometries. In geometrical methods, diffraction is excluded by definition; therefore, we theoretically study the possibility of constructing the Green’s function with the summation over non-classical trajectories. Broken trajectories are introduced and on this basis, an attempt is made to directly extend the RTS method to trajectories in the form of broken straight lines, which can propagate into the geometric shadow. For the free field and infinite edge cases, the frequency response is compared to the finite element method and qualitative agreement is observed. Furthermore, important aspects of the numerical implementation are presented.