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Sommerfeld radiation condition
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Mathematics
Area of mathematics
Analysis
Inverse problem
Inverse scattering problem
Far-field pattern
Created
2026-09-24
Updated
2026-10-06
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The
Sommerfeld radiation condition
selects outgoing solutions of the exterior
Helmholtz equation
. In three
dimensions
it requires
r
(
∂
r
u
−
ik
u
)
→
0
as
r
→
∞
uniformly in direction.
Ancestors
(7)
Far-field pattern
Inverse scattering problem
Inverse problem
Analysis
Area of mathematics
Mathematics
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Acoustic inverse source problem
Outgoing Green function for the three-dimensional Helmholtz equation
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