The Doppler spectrum for accelerating objects

Abstract

The formalism for computing the Doppler spectrum for perfectly reflecting mirrors undergoing various types of accelerations is reviewed. This method is an amplification of work done by D. Censor and J. Cooper for one-dimensional waves. For sinusoidal waves, the formalism provides a computationally easy algorithm that enables determination of the Doppler spectrum. This method is exact and does not ignore the effects of motion on the amplitude, as is normally done. The mirror is an alternative means of determining the Doppler spectrum of point particles. From the exact result, an approximation method is derived that is of use to radar engineers. Extending these results to other commonly used radar waveforms is considered.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>