Difference between revisions of "Radiation condition"

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(Created page with "A prescribed value of a solution or its derivative or some combination on a mathematical surface in a problem. Such a surface need not be the confining surface of a finite vol...")
 
 
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A prescribed value of a solution or its derivative or some combination on a mathematical surface in a problem. Such a surface need
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When a medium is ''unbounded'' the surface
not be the confining surface of a finite volume, but may be any desired surface. When a medium is ''unbounded'' its containing
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which contains it is taken to be infinitely distant from the source and receiver. ''Radiation conditions'' are the [[Dictionary:Boundary condition]]s for
surface is taken to be infinitely distant from the source and receiver. ''Radiation conditions'' are the boundary condition for
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a  ''boundary at infinity.'' The result is to prevent energy from coming from infinity and to enforce the requirement that the
the boundary at infinity.
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general trend of propagation is outgoing from the source. A radiation condition is necessary to guarantee a unique solution in physical sciences problems.
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One common radiation condition is called the [[Sommerfeld radiation condition]].

Latest revision as of 14:02, 5 January 2021

When a medium is unbounded the surface which contains it is taken to be infinitely distant from the source and receiver. Radiation conditions are the Dictionary:Boundary conditions for a boundary at infinity. The result is to prevent energy from coming from infinity and to enforce the requirement that the general trend of propagation is outgoing from the source. A radiation condition is necessary to guarantee a unique solution in physical sciences problems.

One common radiation condition is called the Sommerfeld radiation condition.