Scattered Fields of a 2-D Rectangular Room Composed of Cinder Block Walls Using Floquet–Fourier Series Expansion

Abstract

In this paper, the 2-D scattered fields from a rectangular room composed of cinder block walls, illuminated by a source outside are derived. First, we assume that the structure is repeated periodically with a periodicity of $P$ . For analysis of a periodic structure, the Floquet theorem is used. Second, the dielectric profile is expressed by a Fourier series and tangential electric and magnetic fields are given by the Floquet series. In fact, the structure is a multilayer periodic one. By applying the boundary conditions, periodic fields in all layers are obtained. Third, by increasing the periodicity $P$ , estimated fields due to the structure alone are obtained. The numerical results due to excitation by a plane wave, a Gaussian wave, and a line source radiation are all in excellent agreement with those of a finite-element method.