Skip to main content
Article
Phase and Amplitude of Fractional-Order Intermediate Wave
Departmental Papers (ESE)
  • Nader Engheta, University of Pennsylvania
Document Type
Journal Article
Date of this Version
6-5-1999
Comments
Postprint version. Published in Microwave and Optical Technology Letters, Volume 21, Issue 5, June 5, 1999, pages 338-343."
Publisher URL: http://www3.interscience.wiley.com/cgi-bin/jissue/61003524

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.
Abstract
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.
Keywords
  • fractional integrals,
  • fractional calculus,
  • intermediate electromagnetic waves
Citation Information
Nader Engheta. "Phase and Amplitude of Fractional-Order Intermediate Wave" (1999)
Available at: http://works.bepress.com/nader_engheta/60/