Scattering of obliquely incident plane waves from a finite periodic structure of ferrite cylinders

For the scattering of waves obliquely incident on many homogeneous gyrotropic cylinders simultaneous matrix equations are first derived from the reciprocity theorem where the auxiliary electric and magnetic current sources are specially selected. As a numerical example we examine the scattering properties of a finite periodic structure composed of many circular ferrite cylinders, with attention to 1) the frequency characteristics of the scattering cross section where the parameters are the number of cylinders, the incident angle, and the applied static magnetic field; 2) the patterns of the scattered power density; 3) the distributions of the total field in the vicinity of the cylinders; 4) the role of the periodicity of the spacing of the scatterers on the scattering cross section; and 5) the effect of the interactions among the cylinders. The extension of the present method may make it possible to analyse guided modes along an array of gyrotropic cylinders.