Some improved formulas for the Westmijze head

Abstract

New analytic formulas for the response of the Westmijze head are presented. The first is calculated by a moment method based on entire domain expansion and test functions which incorporate the correct edge behavior of the field. It is shown that two such functions are enough for getting an excellent convergence of the solution, and that the result agrees with the Westmijze numerical results obtained through a conformal mapping approach. The second formula is based on an interpolation between Karlqvist and the thin head formulas, but in a different way from that which was previously performed. This new formula agrees very well with the results obtained by Westmijze (1953).