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
 
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 volume, but may be any desired surface. When a medium is ''unbounded'' its containing
+
not be the confining surface of a finite volume, but may be any desired surface. When a medium is ''unbounded'' the surface
surface is taken to be infinitely distant from the source and receiver. ''Radiation conditions'' are the boundary condition for
+
which contains it is taken to be infinitely distant from the source and receiver. ''Radiation conditions'' are the boundary condition for
the boundary at infinity.
+
the boundary at infinity. A radiation condition is necessary to guarantee a unique solution in physical science problems.

Revision as of 14:32, 18 April 2017

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 volume, but may be any desired surface. 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 boundary condition for the boundary at infinity. A radiation condition is necessary to guarantee a unique solution in physical science problems.