On fractional paradigm and intermediate zones in electromagnetism: II. Cylindrical and spherical observations

Extending our previous work for the planar case, in this letter, we present a fractionalization of the kernels of integral transforms that link the fi eld quantities over two coaxial cylindrical surfaces of observation for two -dimensional (2-D) monochromatic wave propagation, and over two concentric spherical surfaces of observation for three-dimensional (3-D) wave propagat ion. With the proper radial normalizations, we show that the fractionalized kernels, with fractionalization parameter nu that here could attain comple x values between zero and unity, can effectively be regarded as the kernels of the integral transforms that provide the radially normalized field quan tities over the coaxial cylindrical surfaces (for 2-D case) and over the co ncentric spherical surfaces (for 3-D case) between the two original surface s. As in the planar case, here, the fractionalized kernels can supply anoth er way of interpreting the fields in the intermediate zones. (C) 1999 John Wiley & Sons, Inc.