The need for a first-order quasi-Lorentz transformation
D. Censor
- Dept. of Electrical and Comp. Engineering, Ben-Gurion University, Beer Sheva, 84105, Israel.
Solving electromagnetic scattering problems involving non-uniformly moving objects requires an approximate but consistent extension of Einstein's Special Relativity theory which originally is valid for constant velocities only. For moderately varying velocities, a quasi-Lorentz transformation is presented. The conditions for form-invariance of the Maxwell equations, the so-called "principle of relativity", are shown to hold for a broad class of motional modes and time scales. An example of scattering by a harmonically oscillating mirror is given. The present extended abstract is an overview of the full draft (http://www.ee.bgu.ac.il/~censor/quasi-lorentz.pdf), where the derivations and formulas are given explicitly.