8 мар. 2024 г. · This question is based on a problem from JD Jackson's Classical Electrodynamics, which asks for the solution of the inhomogeneous wave equation.

23 окт. 2017 г. · The inhomogenous Maxwell's equations are d(∗F)=∗J or equivalently ∗d(∗F)=±J, where the ±=(−1)D depends on the number of spacetime dimensions D.

7 янв. 2018 г. · Each unit source potential satisfies the equation ∇2G(xa,x′a)+ω2c2G(xa,x′a)=−δ(xa−x′a),

28 авг. 2023 г. · It is only non-zero for r<ct and can be done via the residue theorem G(→r,t)=12πΘ(ct−r)√t2−r2/c2.

30 нояб. 2016 г. · You are correct that there is a term on the RHS of −∇(→E⋅∇lnϵ). In order to neglect this you compare it's magnitude with ∇2→E=−k2→E.

16 апр. 2023 г. · The wave equation is linear, so the inhomogeneous problem: (∂2t−Δ)ϕ=v. can be solved by a convolution with the Green's function: ...

18 мар. 2020 г. · In the Lorenz gauge , ∂μ∂μAν−∂μjμ=0, this becomes the wave equation for the potential ∂μ∂μAν=jμ/ϵ0 .

15 окт. 2015 г. · To solve a non homogeneous wave equation you need to use Green's function. The Green function of the inhomogeneous wave equation is defined ...

16 окт. 2022 г. · Vanishing boundary terms of the Inhomogeneous electromagnetic wave equation using Green functions ... Solving the Inhomogeneous Wave Equation ...

28 янв. 2019 г. · The units of the d'Alembertian are distance −2. It should be the case that the inhomogeneous wave equation describing u=f should have matching units on both ...