3-D closed-form Green's functions in spatial-domain in LTCC antenna analysis

Abstract

The effective three-dimensional (3-D) Green's functions in spatial domain for general electric and magnetic mixed potential in a multilayered media are presented. In terms of the discrete complex image method (DCIM) with higher order Sommerfeld identity, 3-D spatial-domain Green's functions are calculated in closed-form, and the numerical differentiation of the curl operator in mixed potential integral equation (MPIE) is avoided properly in spatial domain and it is especially suited for the LTCC antenna design with the vertical components and aperture coupled structures. The results are agreeable with the results of direct numerical Sommerfeld integral