On the numerical integration of spectral domain immittance functions for multiple printed dipoles in layered uniaxial anisotropic dielectrics

Spectral domain immittance functions can be used to numerically solve for the unknown surface currents on printed dipoles in layered anisotropic dielectrics. This solution requires the use of the spectral domain moment method and numerical integration. This paper presents a hybrid polar- and rectangular-numerical integration technique on the α-β plane useful for efficient evaluation of the spectral domain moment method and is defined in a manner that avoids unwanted poles. For validation, the convergence of the numerically computed input impedance of a printed dipole is presented.