Abstract
Bessel type transforms, formulated recently, provide suitable bases for the expansion of the electromagnetic fields due to line sources in the vicinity of cylindrical structures of variable curvature. However, these expansions are restricted to open structures with convex cylindrical boundaries that are characterized by surface impedances which are independent of excitation. In this paper, we derive transforms that are suitable for the expansion of electromagnetic fields in multilayered cylindrical structures with both concave and convex boundaries. The innermost medium of the structure is assumed to be a good conductor. These field transforms are shown to be related to Fourier-type transforms derived for parallel layered structures. They can be used to obtain rigorous, full wave solutions, to problems of propagation in irregular waveguide ducts in the earth's crust, the ionosphere, and in the cavity between the earth and the ionosphere.
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