In
numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of ...
, the uniform theory of diffraction (UTD) is a
high-frequency
High frequency (HF) is the International Telecommunication Union, ITU designation for the radio band, band of radio waves with frequency between 3 and 30 megahertz (MHz). It is also known as the decameter band or decameter wave as its wavelengt ...
method for solving
electromagnetic
In physics, electromagnetism is an interaction that occurs between particles with electric charge via electromagnetic fields. The electromagnetic force is one of the four fundamental forces of nature. It is the dominant force in the interacti ...
scattering
In physics, scattering is a wide range of physical processes where moving particles or radiation of some form, such as light or sound, are forced to deviate from a straight trajectory by localized non-uniformities (including particles and radiat ...
problems from electrically small discontinuities or discontinuities in more than one dimension at the same point.
[ R. G. Kouyoumjian and P. H. Pathak, "A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface," ''Proc. IEEE'', vol. 62, pp. 1448–1461, November 1974. ] UTD is an extension of
Joseph Keller's geometrical theory of diffraction (GTD)
[ J. B. Keller]
"Geometrical theory of diffraction"
''J. Opt. Soc. Am.'', vol. 52, no. 2, pp. 116–130, 1962. and was introduced by
Robert Kouyoumjian and Prabhakar Pathak in 1974.
The uniform theory of diffraction approximates
near field electromagnetic fields as
quasi optical and uses
knife-edge diffraction to determine diffraction coefficients for each diffracting object-source combination. These coefficients are then used to calculate the field strength and
phase for each direction away from the diffracting point. These fields are then added to the incident fields and reflected fields to obtain a total solution.
See also
*
Electromagnetic modeling
Computational electromagnetics (CEM), computational electrodynamics or electromagnetic modeling is the process of modeling the interaction of electromagnetic fields with physical objects and the environment using computers.
It typically involve ...
*
Biot–Tolstoy–Medwin diffraction model
References
External links
Overview of Asymptotic Expansion Methods in Electromagnetics
Numerical differential equations
Computational electromagnetics
Diffraction
Geometrical optics
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