A Novel Approximate Solution for Electromagnetic Scattering by Dielectric Disks

This paper presents a novel approximate solution for electromagnetic scattering by planar homogeneous dielectric objects with arbitrary shape. This solution is derived by introducing a semi-empirical formula of the electrical field inside objects under consideration and by exploring the volumetric integral equation along with spectral representation of dyadic Green's function. Afterward, a closed-form approximate solution has also been established by utilizing the so-called stationary phase method (SPM). It is demonstrated that our solution is uniformly valid for planar objects with moderate electrical thickness illuminated from low to high frequencies at all incidence angles. Comparisons with a full-wave computation obtained by the method of moments (MoM) have been examined, which demonstrates that the proposed formulation can provide very accurate results and can perform much better than other existing approximate techniques.