Helmholtz equation
In mathematics, the Helmholtz equation is the eigenvalue problem for the Laplace operator. It corresponds to the elliptic partial differential equation: ∇ 2 f = − k 2 f , {\displaystyle \nabla ^{2}f=-k^{2}f,} where ∇2 is the Laplace operator, –k2 is the eigenvalue, and f is the (eigen)function.