The Quasi Lorentz Transformation for rotating objects

The Quasi Lorentz Transformation (QLT) introduced recently is a differential first order v/c approximation to the Lorentz Transformation (LT), facilitating the analysis of Electromagnetic (EM) problems involving non-uniform motion. Presently the QLT is applied to Rotating Systems (RS), using the slip-shells model. It is shown that an observer rotating relative to a monochromatic plane wave will measure a Bessel series type frequency spectrum. Scattering by concentric rotating circular cylinders is analyzed. As expected, the scattered wave in the initial frame shows no Doppler frequency shifts. For material cylinders, radiation pattern and scattering coefficients show velocity effects. Moreover, these effects depend on the sense of rotation. Due to the frequency spectrum in the cylinder's rest frame, dispersion effects will be displayed. Unlike the instantaneous velocity approximation model, based on the Minkowski Constitutive Relations (MCR), the present model has the potential of dealing with non axially symmetric rotating scatterers.