Evaluation of Sommerfeld integrals using Chebyshev decomposition [antenna analysis]

Sommerfeld integrals ensue when one uses a spectral-domain transformation to calculate fields of a dipole source in a homogeneous space or in a layered medium with planar boundaries. A new and efficient method of evaluating these integrals is presented. This method still converge in the case of unbounded homogeneous media or when source and observer are both on the boundary itself, as in microstrip lines. The integration is based on decomposition of the integrand into Chebyshev polynomials. Numerical results are given and compared with published literature