6 мар. 2017 г. · I'm having trouble deriving the Greens function for the Helmholtz equation. I happen to know what the answer is, but I'm struggling to actually ...

17 февр. 2022 г. · The Green function for the Helmholtz equation should satisfy (∇2+k2)Gk=−4πδ3(R). Using the form of the Laplacian operator in spherical ...

1 авг. 2017 г. · So the inhomogeneous Helmholtz's equation is, ∇2f+α2f=−β(r). To solve this it helps to first solve the special case β=0.

4 окт. 2024 г. · I'm reading through Jackson's Classical Electrodynamics (3rd Edition), and I'm looking at the derivation of the 2D Green's function from the 3D Green's ...

13 апр. 2024 г. · I've been reading Jackson's Chapter 8.10 and trying to find the Green's function for a non-homogenous Helmholtz equation. The problem is in cylindrical ...

20 нояб. 2021 г. · I need to find the following exrpression for the green's function in 2D: G(ρ)=12πln(cρ) where c is some constant.

20 мая 2020 г. · The wave from an impulsive point source is the Green's function G(→r,t) for the inhomogenous wave equation.

30 мая 2023 г. · You have to view Green's functions as inverse operators. In your case, you want Φ, so the operator you wish to invert is the RHS: Δ−ϵM.

23 нояб. 2023 г. · How to write the general solution to the Laplace or Helmholtz equation for a 3D finite cylinder? ... Obtaining the Green's function for a 2D ...

29 нояб. 2022 г. · The computation is done using the Fourier transform, and it turns out that in the 3-dimensional case, Green's function is given by: G(κ,r)=e−κr4 ...