Question

give the non homogeneous helmholtz equation​

Answer 1

The real part of the resulting field A, A is the solution to the inhomogeneous Helmholtz equation {\displaystyle (\nabla ^{2}+k^{2})A=-f} {\displaystyle (\nabla ^{2}+k^{2})A=-f}

In mathematics and physics, the Helmholtz equation, named for Hermann von Helmholtz, is the linear partial differential equation

{\displaystyle (\nabla ^{2}+k^{2})A=0,} {\displaystyle (\nabla ^{2}+k^{2})A=0,}

where {\displaystyle \nabla ^{2}} \nabla ^{2} is the Laplacian, {\displaystyle k} k is the wave number, and {\displaystyle A} A is the amplitude. This is also an eigenvalue equation.