I understand that an accelerated charge produces/emits radiation (I have looked at lamors formula/poynting vector etc for the way this occurs) but I am wondering what does it take to get a certain/specific frequency of em radiation to be emitted/produced by the accelerated charge?

 

 

Is the frequency of em radiaton emitted proportional to acceleration?

Accelerate it cyclically at that frequency, e.g. if you put a sinusoidal signal at frequency f on electrons in a bit of wire, they will emit at the frequency at f (and possibly harmonics). We call the bit of wire an antenna.

An electron produces radiation at the frequency it wobbles. The acceleration influences the emitted power.

 

Sometimes the wobbling frequency isn't well defined, for instance if an energetic electron is deflected when passing near an nucleus; then the emitted radiation contains a broad spectrum of frequencies also.