A study of the fields associated with horizontal dipole sources in stripline circuits

In this paper, we formulate closed-form expressions for the fields excited by an x-directed dipole source in both homogeneously-filled and inhomogeneously-filled stripline structures. These expressions are obtained by first employing spectral domain techniques, which yields a spectral-domain Green´s function that involves simple algebraic and trigonometric functions. Then we take the inverse two-dimensional Fourier transform of that expression and represent it as a Sommerfield-type integral in the space domain. This Sommerfield integral has a highly oscillatory and slowly convergent nature. Therefore, we analytically evaluate this Sommerfield integral by applying residue theory. Summing over the residues evaluated at the pole locations in the complex plane yields a rapidly computable modal series expansion that is free from any numerical integration. The special functions that occur in the modal series expansions are rapidly computable Bessel functions. This method greatly improves the computational efficiency as compared with numerical integration. The field study carried out in this paper will help to extend the capabilities of a recently developed full-wave layered interconnect simulator (UA-FWLIS).