the behavior of the amplitude and phase of the "intermediate wave," which w
e previously introduced as certain fractional solutions to the standard sca
lar Helmholtz equation, is addressed and presented. These waves effectively
behave as intermediate cases between the canonical cases of plane-wave and
cylindrical-wave propagation. We show that th amplitude and phase of such
intermediate waves undergo interesting "evolutions" as the fractionalizatio
n parameter v attains fractional values between zero and unity. A possible
extension into the novel concept of intermediate guided-wave geometries is
speculated on. (C) 1999 John Wiley & Sons, Inc.