TRANSMISSION PROPERTIES OF ELECTROMAGNETIC WAVES IN CONICAL WAVE GUIDES

Available approximations in the angular part of the solution of the wave equation for an infinitely long right circular cone with perfectly conducting walls have been used to simplify the evaluation of the eigenvalues of the wave functions relating to wave propagation in a conical region. Exact expressions have been derived for the attenuation constant (α ), phase constant (β) and phase volocity (vP) of a radially propagated electromagnetic wave within the conical guide. Variations in α, β and vP with radial distance have been studied as a function of the flare (semi-vertical) angle. Expressing the resistive and reactive part of the wave impedance in terms of α and β their variation with radial distance has been studied. The wave functions derived from an acoustic analogue for the TE11 mode of excitation in a previous paper by the authors are identical with those obtained here, when the flare angle is very small and the axial length is large. © 1969, Walter de Gruyter. All rights reserved.