Are the doppler effects of sound wave and light wave of different roots?

[wdlang]

is the light doppler effect a purely relativistic effect?

or it is present even in the classical limit?

 

[Mentz114]

Treated as a Huygens wave, there ought to be classical frequency shift, which should be the limit of the relativistic effect when v << c.

 

[JesseM]

is the light doppler effect a purely relativistic effect?

or it is present even in the classical limit?

The light Doppler effect is basically just like the classical one but with the added complication that the source's clock is running slow in the frame of the receiver, so the frequency at which the source is emitting pulses/peaks in its own frame is different from the frequency at which the source is emitting pulses/peaks in the receiver's frame. See my post #15 here (along with #18 on the same thread) for a derivation of the fact that relativistic Doppler is just classical Doppler multiplied by the time dilation factor.