 ##  [Sommerfeld Radiation Condition](/sommerfeld-radiation-condition) 

  ##  [Sommerfeld Radiation Condition](https://mathlogic.quantumdictionary.io/sommerfeld-radiation-condition-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

An asymptotic condition at infinity applied to wave-type solutions (e.g., solutions of the Helmholtz or scalar wave equation) that enforces outgoing radiation behavior and rules out incoming or nonradiative components, thereby ensuring uniqueness of the radiating solution.