Incremental theory of diffraction for complex point source illumination
Incremental theory of diffraction for complex point source illumination
复制标题
复杂点光源照明的衍射增量理论
DOI：
10.1029/2007rs003655
复制
发表时间：
2007
期刊：
影响因子：
1.6
通讯作者：
S. Maci
中科院分区：
文献类型：
--
作者：
A. Polemi;G. Carluccio;M. Albani;A. Toccafondi;S. Maci
复点源（CPS）是通过点源的复位置的自由空间绿色函数的解析延拓获得的亥姆霍兹方程的解。当标准衍射公式扩展到CPS照明时，辐射场的CPS表示可以在射线代码中用于预测天线与其实际环境之间的相互作用。在过去，基于射线的衍射理论，如几何衍射理论及其统一版本（UTD）被扩展到复杂的点源场，但留下了一些关于“复杂射线追踪”的问题。本文将增量衍射理论推广到CPS。由物体散射的总场由ITD衍射系数加上不连续几何光学（GO）的沿着边缘不连续的线积分给出。还提出了一种增量形式的不连续GO，以克服GO“复杂的射线追踪”的困难。最后的配方是非常简单的，并导致准确的结果，成功地验证了对矩量法的比较。
The complex point source (CPS) is a solution of the Helmholtz equation obtained by analytical continuation of the free‐space Green's function for complex position of the point source. The CPS representation of radiated fields can be used within a ray code to predict the interaction between an antenna and its actual environment, when standard diffraction formulations are extended to the CPS illumination. In the past, ray‐based diffraction theories such as the geometrical theory of diffraction and its uniform version (UTD) were extended to complex point source fields, leaving, however, open some problematic issues concerning the “complex ray tracing”. In this paper, the generalization of the incremental theory of diffraction (ITD) to CPS is formulated. The total field scattered by the object is given in terms of line integration along edge discontinuities of ITD diffraction coefficients plus the discontinuous geometrical optics (GO). An incremental form of the discontinuous GO is also proposed to overcome GO “complex ray tracing” difficulties. The final formulation is very simple and leads to accurate results that are successfully validated by comparison against a method of moment solution.