Phase and amplitude of fractional-order intermediate wave

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.