Geometrical optics-based ray field tracing method for complex source beam applications**Project supported by the National Natural Science Foundation of China (Grant Nos. 61301056 and 61231001), the Fundamental Research Funds for the Central Universities, China (Grant No. ZYGX2014J012), the Fok Ying Tung Education Foundation, China (Grant No. 141062), the Aero-Science Fund, China (Grant No. 20142580012), and the “111” Project (Grant No.

Abstract

Due to the fact that traditional ray field tracking approaches require a large number of geometrical optical (GO) ray tubes, they are very inefficient in many practical applications. An improved ray model scheme for a complex source beam (CSB) tracking technique is proposed in this paper. The source field can be expressed by a superposition of CSBs, then every CSB basis function has a Gaussian-type amplitude distribution and is suitable for replacing a GO ray tube in the ray tracing approach. The complex phase matching technique is adopted to find the reflected beam in the reflection point where local approximation is used to represent the curved surface in its neighborhood. A new solution to multiple reflections using the conventional right-handed reflected system is used to track the field easily. Numerical results show the accuracy of the proposed method.