September 2025 | Technical Report NTIA TR 25-580

A Comparative Analysis of Multiple Knife-Edge Diffraction Methods

Cite This Publication

Nicholas DeMinco ORCID logoGoogle Scholar logoScopus logoWeb of Science logo, Paul M. McKenna ORCID logoScopus logoWeb of Science logo, and Robert Johnk

Abstract:

The results of a thorough comparative analysis of alternative graphical prediction methods for multiple knife-edge diffraction are presented and compared to the method developed by Vogler. The Vogler multiple knife-edge diffraction loss is rigorous and verified with measured data, but too computationally intensive for use in a propagation model that predicts area coverage over irregular terrain. Mathematical algorithms were developed for alternative graphical prediction methods for diffraction paths with up to six knife edges, resulting in methods that are many orders of magnitude faster. This is important for use in propagation models that predict area coverage over irregular terrain for many radial directions from the transmitter. A technique for selecting the best alternative method is proposed. Graphical techniques and mathematical algorithms are also described. Comparisons of the Vogler method to the alternative methods are included. Some comparisons to measured data are also presented.

Keywords: multiple knife-edge diffraction; electromagnetic wave propagation; diffraction fading; non-line-of-sight (NLOS); radio frequency propagation; Vogler method

For technical information concerning this report, contact:

Nicholas DeMinco
Institute for Telecommunication Sciences
(720) 484-4848
ndeminco@ntia.gov

For funding information concerning this report, click this link.

Performing Agency

U.S. Department of Commerce

National Telecommunications and Information Administration

Institute for Telecommunication Sciences

325 Broadway

Boulder, CO 80305

https://ror.org/00mj5bc69

Funding Agency

U.S. Department of Commerce

National Telecommunications and Information Administration

Herbert C. Hoover Building

14th & Constitution Ave., N.W.

Washington, D.C. 20230

https://ror.org/032241511

Disclaimer:

Certain commercial equipment, components, and software may be identified in this report to specify adequately the technical aspects of the reported results. In no case does such identification imply recommendation or endorsement by the National Telecommunications and Information Administration, nor does it imply that the equipment or software identified is necessarily the best available for the particular application or uses.

For questions or information on this or any other NTIA scientific publication, contact the ITS Publications Office at ITSinfo@ntia.gov or 303-497-3572.

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