Abstract
The Doppler effect in a reflected wave is discussed based on the exact 1D theory of wave mechanics. The motion of a reflector is non-uniform and arbitrary, but an exact expression for the Doppler frequency shift is obtained in the closed form. The Doppler frequency shift for the four types of reflector motions are presented; (1) uniform, (2) back & forth, (3) acceleration, (4) deceleration.
