Study of current basis functions for antenna modeling

In this presentation, the effect of patch size and choice of basis set on the condition number is examined for a simple plate. The RWG basis function is also augmented with a solenoidal basis function to create a higher order basis set. The effect of this higher order basis set on the convergence of the input impedance for a blade dipole. It is shown that the condition number resulting from the {f_RWG} basis set grows as a function of the number of unknowns (plate size) for a uniformly meshed plate. The condition number also grows as a function of the dynamic range of the patch size (number of unknowns) for a constant sized plate. Finally, the condition number grows as an inverse function of the patch size for electrically small patches (less than 0.01 λ on a side).