A Fourier Expansion Solution to Plane Wave Scattering from Multiple Isosceles Right Triangle Grooves in Perfect Conducting Plane

摘要

In this paper, we present a series based solution of plane wave scattering from multiple Isosceles Right Triangle (IRT) grooves in perfect conducting plane. Scattered field in the upper half plane is expressed in a Fourier integral form. Fields in the IRT grooves are formulated as a summation of modal fields similar to the modal fields in IRT waveguide. A summation of a complete set of plane wave in the IRT groove is used to find a closed form of the fields in the IRT grooves. Matching the fields at the interface between the IRT grooves and the upper half plane provide a Fourier expansion summation form of the angular spectrum of the scattered field. The method is rigorous, robust, and provides an analytical form of the scattered field. Simulation results for far and near-fields will be shown for general oblique incident angle with various groove dimensions. Effects of the number of grooves on the scattered field are studied. The effect of ratio between the groove opening and the period between grooves is studied.