局部矢量平面波三维复射线平行波束展开

THREE-DIMENSION COMPLEX RAY EXPANSION OF LOCAL VECTOR PLANE WAVE

导出局部矢量平面波三维复射线平行波束展开的完整表达式，并得到了展开截断误差与离散化展开误差的计算公式．在给定展开误差与最大展开距离的前提下，定出局部矢量平面波，包括复原点参量与展开间距在内的三维复源展开参量与展开半径，使从展开面到最大展开距离之间的规定半径范围内；空间各处的合成场均满足给定误差要求．这种展开方法特别适合于应用复射线法来研究波的传播与分析目标的散射特性．

The paper presents not only the ontire formula of the three-dimension complex ray expansion of the local vector plane wave with parallel beams, but also the formulas of the expansion truncation error and the discretized expansion error. The three-dimonsion complex source expansion parameter of the local vector plane wave, including complex source point parameter, expansion interval,and the expansion radius can ho determined if the expansion error and the maximum expansion interval is given previously. Thus the error requirement can be met by the synthesized field everywhere in space, which is from expansion place to the maximum expansion interval in the area of the required radius. This method is especially suitable for the analysis of wave propagation and target scattereing characteristics.