T. Donhat et Rh. Macphie, ON THE COMPUTATION OF INFELDS FUNCTION USED IN EVALUATING THE ADMITTANCE OF PROLATE SPHEROIDAL DIPOLE ANTENNAS, Quarterly of applied mathematics, 54(4), 1996, pp. 721-725
The Infeld function expressed in terms of the outgoing prolate spheroi
dal radial wave function and its derivative, and employed in the expre
ssion of the input self-admittance of prolate spheroidal antennas, has
accurately been calculated by using a newly developed asymptotic expr
ession for large degree n. This asymptotic power series has been deriv
ed by using a perturbation method with a perturbation parameter epsilo
n = 1/(lambda(1n) - h(2)), where lambda(1n) is the spheroid's eigenval
ue for the given parameter h of the spheroidal wave function.