What is the equation for electromagnetic wave frequency?

[pkc111]

Hi there
When a charge is accelerated it produces electromagnetic radiation. I was wondering if anyone knew the equation relating the frequency of emitted radiation to the size of the charge and the value of the acceleration.
My understanding is that it relates to Maxwell's equations, but I was hoping for a simpler equation.

Many thanks

 

[Simon Bridge]

"Maxwell's equation" is the simpler explanation.
The rest is maths - so the equation depends on how complicated you want it and what sort of acceleration you have.
Also depends on where you are - since it may be doppler shifted.

For a linear acceleration, there is not one frequency but a spectrum of them.
http://physics.usask.ca/~hirose/p812/notes/Ch8.pdf ... 8.3 ... so there is no simple equation.

 

[pkc111]

Thank you so much!