Diffracted fields of a plane electromagnetic wave by an aperture that is composed of two half planes placed apart from each other on the same plane, and both located between two lossless isorefractive media are investigated. The half planes have surface resistances that are different from each other. Firstly, initial field is determined by assuming the scatterers do not exist. Total geometrical optics (GO) field is written by taking the geometry of the problem into consideration. Scattered geometrical optics field is obtained by subtracting the initial field from the total geometrical optics field. Secondly, diffracted fields caused by the edges of the two half planes are evaluated by means of the method of transition boundary (MTB). Diffracted fields are evaluated by using the Wiener–Hopf factorization which includes the Malyughinetz function. The split function is employed for the transition from the geometrical optics waves to the diffracted fields. The obtained diffracted fields are plotted for some parameters of the problem.

研究了平面电磁波通过孔径的衍射场，孔径由在同一平面上彼此分开放置的两个半平面组成，并且两个半平面都位于两个无损等折射介质之间。半平面具有彼此不同的表面电阻。首先，假设散射体不存在来确定初始场。总几何光学 (GO) 场是通过考虑问题的几何形状来编写的。散射几何光场是通过从总几何光场中减去初始场得到的。其次，通过过渡边界（MTB）方法评估由两个半平面的边缘引起的衍射场。衍射场通过使用包括 Malyughinetz 函数的 Wiener-Hopf 分解进行评估。分裂函数用于从几何光学波到衍射场的过渡。为问题的一些参数绘制了获得的衍射场。