Recently non-relativistic boundary conditions, based on the Lorentz force formulas, have been investigated. It was shown that to the first order in the relative velocity v/c the results for scattering problems are in agreement with the exact relativistic formalism. Examples for scattering by material objects moving in free space have been discussed. Presently the feasibility of non-relativistically solving scattering problems involving arbitrary material media is investigated. For concreteness, two representative canonical problems were chosen: scattering by a uniformly moving circular cylinder, and the related problem of a cylinder at rest, comprised of a uniformly moving medium in the cylindrical cross-sectional plane. The investigation demonstrates that solving such problems is feasible, and indicates the complexity involved in such an analysis. The main highlights are that we need to evaluate the phases and amplitudes of waves at the scatterer's surface, employing formulas based on the Lorentz force formulas and the Fresnel drag concept. The explicit solutions for the scattering problem display velocity-dependent interaction of the scattering coefficients.
2. Censor, D., "Non-relativistic electromagnetic scattering: 'Reverse engineering' using the Lorentz force formulas," Progress In Electromagnetic Research, Vol. . 38, 199-221, 2002.
3. Einstein, A., "Zur Elektrodynamik bewegter Körper," Ann. Phys., Vol. 17, 891-921, 1905.
4. Pauli, W., Theory of Relativity, Pergamon.
5. Censor, D., "Application-oriented relativistic electrodynamics (2)," Progress in Electromagnetics Research, Vol. 29, 107-168, 2000.
6. Van Bladel, J., Relativity and Engineering, Springer, 1984.
7. Censor, D., "Scattering of a plane wave at a plane interface separating two moving media," Radio Science, Vol. 4, 1079-1088, 1969.
8. Kong, J. A., Electromagnetic Wave Theory, Wiley, 1986.
9. Censor, D., "Propagation and scattering in radially flowing media," IEEE Transactions on Microwave Theory and Techniques, Vol. MTT-17, 374-378, 1969.
10. Censor, D., "Interaction of electromagnetic waves with irrotational fluids," Journal of the Franklin Institute, Vol. 293, 117-129, 1972.
11. Ben-Shimol, Y. and D. Censor, "Wave propagation in moving chiral media: The Fizeau experiment revisited," Radio Science, Vol. 30, 1313-1324, 1995.
12. Censor, D., "Scattering in velocity dependent systems," Radio Science, Vol. 7, 331-337, 1972.
13. Stratton, J. A., Electromagnetic Theory, McGraw-Hill, 1941.
14. Twersky, V., Scattering of waves by two objects, Electromagnetic Waves, 10-12, 1962.
15. Burke, J. E., D. Censor, and V. Twersky, "Exact inverseseparation series for multiple scattering in two dimensions," Journal of Acoustical Society of America, Vol. 37, 5-13, 1965.
16. Watson, G. N., ATreatise on the Theory of Bessel Functions, 297, Cambridge University Press, UK, 1966.
17. Born, M. and E. Wolf, Principles of Optics, Pergamon, 1989.