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 ITU designation for the range of radio frequency electromagnetic waves (radio waves) between 3 and 30 megahertz (MHz). It is also known as the decameter band or decameter wave as its wavelengths range from one to ten ...

method for solving

electromagnetic In physics, electromagnetism is an interaction that occurs between particles with electric charge. It is the second-strongest of the four fundamental interactions, after the strong force, and it is the dominant force in the interactions of a ...

scattering Scattering is a term used in physics to describe 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 ...

problems from electrically small discontinuities or discontinuities in more than one dimension at the same point. UTD is an extension of

Joseph Keller Joseph Bishop Keller (July 31, 1923 – September 7, 2016) was an American mathematician who specialized in applied mathematics. He was best known for his work on the "geometrical theory of diffraction" (GTD). Early life and education Born i ...

'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. The uniform theory of diffraction approximates near field electromagnetic fields as

quasi optical Quasioptics concerns the propagation of electromagnetic radiation where the wavelength is comparable to the size of the optical components (e.g. lenses, mirrors, and apertures) and hence diffraction effects may become significant. It commonly descri ...

and uses

knife-edge diffraction Diffraction is defined as the interference or bending of waves around the corners of an obstacle or through an aperture into the region of geometrical shadow of the obstacle/aperture. The diffracting object or aperture effectively becomes a s ...

to determine diffraction coefficients for each diffracting object-source combination. These coefficients are then used to calculate the field strength and

phase Phase or phases may refer to: Science *State of matter, or phase, one of the distinct forms in which matter can exist *Phase (matter), a region of space throughout which all physical properties are essentially uniform * Phase space, a mathematic ...

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.

References

External links

Overview of Asymptotic Expansion Methods in Electromagnetics
Numerical differential equations Computational electromagnetics Diffraction {{electromagnetism-stub

See also

References

External links