# Questions tagged [lienard-wiechert]

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### Lienard-Wiechert Potentials Issue

I have had some difficutlies in trying to obtain the Lienard-Wiechert potentials of a moving "point charge" and would greatly appreciate any help in this matter. I will adopt the definition ...
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### Derivation of Liénard-Wiechert Potential in quasi-rest reference frame

In electrodynamics, using the Maxwell equation: $\partial_{\mu}F^{\mu\nu}=\frac{4\pi}{c}J^{\nu}$, together with the Lorentz gauge: $\partial^{\mu}A_{\mu}=0$, we can derive the equation for vector ...
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### Where did I misunderstand Lienard-Wiechert?

Here's my problem. Intensity of radiation follows an inverse square law with distance. https://byjus.com/physics/inverse-square-law/ Electromagnetic fields can be derived from the Lienard Wiechert ...
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### Is there anything special about sinusoidal EM waves? How does the strength of a purely sinusoidal EM wave vary with distance from the source?

In this atoms and sporks video, the narrator mentions that not all Electromagnetic (EM) waves have to be sinusoidal. In fact, he gives a nice animation of such a case at 16:42. He talks about a ...
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### Do the Lienard Wiechert Potentials satisfy the wave equation?

The Lienard Wiechert potential (leaving out the vector potential for simplicity), $$\left.\phi(\vec{r},t)=\frac{e}{4\pi\epsilon_0R\,(1-\hat{n}\cdot\vec{\beta})} \right|_{t'=t_{\rm ret}},$$ where the ...
194 views

### Gauge invariant Green's function for electrodynamics

Varying the electromagnetic action \begin{equation} S=-m c \int d s\left(\dot{z}^{2}\right)^{\frac{1}{2}}-\frac{e}{c} \int d s A_{\mu} \dot{z}^{\mu}-\frac{1}{16 \pi c} \int d^{4} x F_{\mu \nu} F^{\mu \...