Uniform theory of diffraction
Encyclopedia
In numerical analysis
, the uniform geometrical theory of diffraction (UTD) is a high-frequency
method for solving electromagnetic
scattering
problems from electrically small discontinuities or discontinuities in more than one dimension at the same point. UTD is an extension of Joseph Keller
's geometrical theory of diffraction (GTD).
The uniform theory of diffraction approximates near field
electromagnetic fields as quasi optical and uses ray 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.
Numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation for the problems of mathematical analysis ....
, the uniform geometrical theory of diffraction (UTD) is a high-frequency
High frequency
High frequency radio frequencies are between 3 and 30 MHz. Also known as the decameter band or decameter wave as the wavelengths range from one to ten decameters . Frequencies immediately below HF are denoted Medium-frequency , and the next higher frequencies are known as Very high frequency...
method for solving electromagnetic
Electromagnetic radiation
Electromagnetic radiation is a form of energy that exhibits wave-like behavior as it travels through space...
scattering
Scattering
Scattering is a general physical process where some forms of radiation, such as light, sound, or moving particles, are forced to deviate from a straight trajectory by one or more localized non-uniformities in the medium through which they pass. In conventional use, this also includes deviation of...
problems from electrically small discontinuities or discontinuities in more than one dimension at the same point. UTD is an extension of Joseph Keller
Joseph Keller
Joseph B. Keller is an American mathematician who specializes in applied mathematics. He is best known for his work on the "Geometrical Theory of Diffraction" ....
's geometrical theory of diffraction (GTD).
The uniform theory of diffraction approximates near field
Near field
Near field may refer to:*Near-field , an algebraic structure*Near and far field, parts of an electromagnetic field*Near field communication, a set of short-range wireless technologies, typically requiring a distance of 4 cm or less...
electromagnetic fields as quasi optical and uses ray diffraction to determine diffraction coefficients for each diffracting object-source combination. These coefficients are then used to calculate the field strength and phase
Phase (waves)
Phase in waves is the fraction of a wave cycle which has elapsed relative to an arbitrary point.-Formula:The phase of an oscillation or wave refers to a sinusoidal function such as the following:...
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.