Abstract

Coordinate Transformations for the Optical Wave Equation

Author(s): Yusuf Ziya Umul*

A new coordinate transform is introduced for the wave equation, defined in different inertial reference frames. It is shown that two different measurement sets can be identified for a moving reference system with respect to the motionless observer. In one of these measurements, the speed of light does not change and has the same value with the velocity of light, propagating in the medium according to which the stationary observer rests. This behavior is also mathematically proven. Coordinate transformations are derived by using the wave equation and the phase term of its general solution. The behaviors of these transforms for different cases are studied.