A technique for solution of Maxwell´s equations in a moving dielectric medium

A simple technique is presented for converting a known solution for the electric and magnetic vector fields in a dielectric medium at rest into the corresponding fields in a moving dielectric medium. The technique combines methods presented by Tai [1] with a scaling procedure developed by Clemmow [2]. Tai´s work reduces the moving medium problem to the solution of Maxwell´s equations in a uniaxial medium, and Clemmow´s procedure enables one to convert a known solution in an isotropic medium to the corresponding solution in a uniaxial medium. Thus by first solving for the fields in the medium at rest, then following Clemmow´s procedure to obtain the fields in Tai´s uniaxial medium, and finally applying Tai´s reasoning, one may easily obtain the solution of Maxwell´s equations in the moving medium.