Departmental Papers (ESE)


The behavior of the amplitude and phase of the "intermediate wave", which we previously introduced as certain fractional solutions to the standard scalar Helmholtz equation, is addressed and presented. These waves effectively behave as intermediate cases between the canonical cases of the plane-wave and cylindrical wave propagation. We show that the amplitude and phase of such intermediate wave undergo interesting "evolutions" as the fractionalization parameter ν attains fractional values between zero and unity. Possible extension into the novel concept of intermediate guided-wave geometries is just speculated.

Document Type

Journal Article

Date of this Version

June 1999


Postprint version. Published in Microwave and Optical Technology Letters, Volume 21, Issue 5, June 5, 1999, pages 338-343."
Publisher URL:

A portion of the preliminary findings of this work was presented by the author at the 1996 IEEE Antennas and Propagation Society (AP-S) International Symposium/USNC-URSI Radio Science Meeting in Baltimore, Maryland, July 21-26, 1996.


fractional integrals, fractional calculus, intermediate electromagnetic waves



Date Posted: 25 July 2007

This document has been peer reviewed.