Electromagnetic Analysis of Propagation and Scattering Fields in Dielectric Elliptic Cylinder on Planar Ground

Radio wave technologies using electromagnetic waves of microwaves and ultra-high frequencies have been rapidly developed for high bit rate wireless communications and RFID application in out-door and in-door spaces. Signal detection evaluation is very important factor in these systems including several objects along propagation paths of urban streets and country suburb, and, in houses and building. In order to estimate scattering and interference fields in many environments, typical useful models for scattering objects are dielectric elliptic cylinders on the planar ground. Field intensity distributions of electromagnetic waves in these circumstances are studied by Mathieu function expansion with addition theorems. Incident and scattering fields are expanded by Mathieu function series and coefficients of series are derived by electromagnetic field continuity equations of boundary conditions on the elliptic cylinder and planar surface. Reflection and scattered fields by elliptic cylinders on planar ground are shown by these series coefficients, and also fields in shadow regions between dielectric elliptic cylinders and planar ground. Field intensities in the elliptic cylinder including resonance cases for particular frequencies are evaluated. Reflection and scattered fields are compared with computer simulation results derived by numerical calculation of the FDTD method. Based on these field calculations optimum system design of WiMAX wireless communications and RFID systems in out-door and in-door space regions are investigated. Positions and locations of radiating and receiving antenna for RF stations and RF readers may be decided from field results of this theory.