Relativistic Doppler Effect Free of “Plane Wave ” and “Very High ” Frequency Assumption.pdf

Apeiron, Vol. 12, No. 1, January 2005 122 Relativistic Doppler Effect Free of “Plane Wave” and “Very High” Frequency Assumptions 1 2 3 Bernhard Rothenstein , Ioan Damian , Corina Nafornita 1, 2“Politehnica” University of Timisoara, Dept. of Physics, Piata Regina Maria 1, Timisoara, Romania, e-mail: bernhard_rothenstein@, idamian@etv.utt.ro. 3“Politehnica” University of Timisoara, Dept. of Communications, Bd. Parvan 2, Timisoara, Romania. We show that a free of assumptions approach to the Doppler effect (plane wave and “very small” period assumptions) leads to a Doppler factor which depends on the involved frequencies. The result is that the Doppler effect shifts differently the different frequencies present in the studied electromagnetic radiation. 1. Introduction The Doppler factor formula is one of the most frequently derived equations in classical and in relativistic physics as well. In many cases, we make assumptions concerning the magnitude of the frequencies involved, the source-receiver distance and the character of the wave (plane or spherical). © 2005 C. Roy Keys Inc. — Apeiron, Vol. 12, No. 1, January 2005 123 We consider that in a Doppler Effect experiment we compare the time interval between the emissions of two successive wave-crests by the source (emission period), with the time interval between theirs reception, by the observer (reception period) [1]. The emission period is measured in the rest frame of the source (proper period of emission). The reception