Sommerfeld radiation condition

Arnold Sommerfeld defined the condition of radiation for a scalar field satisfying the Helmholtz equation as

Mathematically, consider the inhomogeneous Helmholtz equation

where $n=2, 3$ is the dimension of the space, $f$ is a given function with compact support representing a bounded source of energy, and $k>0$ is a constant, called the wavenumber. A solution $u$ to this equation is called radiating if it satisfies the Sommerfeld radiation condition

单词	Sommerfeld radiation condition
释义	Sommerfeld radiation condition 英语百科 Sommerfeld radiation condition Arnold Sommerfeld defined the condition of radiation for a scalar field satisfying the Helmholtz equation as Mathematically, consider the inhomogeneous Helmholtz equation where $n=2, 3$ is the dimension of the space, $f$ is a given function with compact support representing a bounded source of energy, and $k>0$ is a constant, called the wavenumber. A solution $u$ to this equation is called radiating if it satisfies the Sommerfeld radiation condition
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