On Wikipedia, it says
Cyclotron radiation is electromagnetic radiation emitted by accelerating charged particles deflected by a magnetic field.
and
The Larmor formula is used to calculate the total power radiated by a non-relativistic point charge as it accelerates.
Looking only at these two sentences, the only difference seems to be that the description for cyclotron radiation specifically mentions that it is used for accelerating charged particles deflected by a magnetic field.
- What is the difference between those two formulas?
- When I'm looking at an accelerating charged particle in a magnetic field, is it more accurate to use cyclotron radiation formula?
- What does it mean by “total power” in the description for Larmor formula? What's the difference between just saying “power”?
Below is the formula for cyclotron radiation.
$$\frac{-dE}{dt}=\frac{\sigma_t B^2 v^2}{c \mu_0}$$
$\sigma_t$ is the total Thomson cross-section, $B$ is the magnetic field strength, $v$ is the charged particle's velocity perpendicular to the magnetic field, c is the speed of light, and $\mu_0$ is the permeability of free space. (Sorry for using words instead of proper notations. I'm not quite familiar with this place yet.)