volume | PIER Journals

Abstract

Scattering by pulsating objects is discussed. In the case of the pulsating cylinder, its surface vibrates time-harmonically in the radial direction. The formalism is based on first-order v/c relativistic approximations, and on the assumption that the ambient media are not affected by the mechanical motion of the interface. This is conducive to simpler and amenable approximations. The cases analyzed display the modulation effect due to the mechanical motion at frequency Ω, creating new spectral components in the scattered wave, peaking at the sideband frequencies ω_ex ± nΩ around the excitation frequency. To put such phenomena in a quasi-relativistic and electromagnetic context, and account for the boundary-condition problem and the representation of the scattered wave is the subject of the present investigation. Such effects can be used to remotely sense the properties of the scatterer, especially its motion.

1. Censor, D., "Non-relativistic electromagnetic scattering: 'Reverse engineering' using the Lorentz force formulas," Progress In Electromagnetic Research, Vol. 38, 199-221, 2002.

2. Censor, D., "Non-relativistic boundary conditions and scattering in the presence of arbitrarily moving media and ob jects: cylindrical problems," Progress In Electromagnetic Research, Vol. 45, 153-180, 2004.
doi:10.2528/PIER02121601

3. Censor, D., "Non-relativistic scattering in the presence moving objects: the Mie problem for a moving sphere," Progress In Electromagnetic Research, Vol. 46, 1-32, 2004.
doi:10.2528/PIER03072401

4. Censor, D., "Non-relativistic scattering by time-varying bodies and media," Progress In Electromagnetic Research, Vol. 48, 249-278, 2004.
doi:10.2528/PIER04031502

5. Einstein, A., "ZurElektrodynamikbewegterKörper,''Ann.Phys.(Lpz.),Vol.17,891-921,1905;Englishtranslation:OntheElectrodynamicsofmovingbodies," The Principle of Relativity, Vol. ``ZurElektrodynamikbewegterKörper[#COMMA]''Ann.Phys.(Lpz.)[#COMMA]17[#COMMA]891-921[#COMMA]1905;Englishtranslation:``OntheElectrodynamicsofmovingbodies, 891-921.

6. Pauli, W., Theory of Relativity, Pergamon.

7. Censor, D., "Theory of the Doppler effect â€” fact, fiction and approximation," Radio Science, Vol. 19, 1027-1040, 1984.

8. Censor, D., "Propagation and scattering in radially flowing media," IEEE Transactions on Microwave Theory and Techniques, Vol. MTT-17, 374-378, 1969.
doi:10.1109/TMTT.1969.1126976

9. Censor, D., "Interaction of electromagnetic waves with irrotational fluids," Journal of the Franklin Institute, Vol. 293, 117-129, 1972.
doi:10.1016/0016-0032(72)90151-2

10. Stratton, J. A., Electromagnetic Theory, McGraw-Hill, 1941.

11. Censor, D., "Scattering in velocity dependent systems," Radio Science, Vol. 7, 331-337, 1972.

12. Gradshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series, 1965.

13. Erdelyi, A., et al. Tables of Integral Transforms, Vol. II, Vol. II.

14. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, Dover.

15. Ibid, Ch. 9, 358, Formula 9.1.5..

16. Censor, D., "Relativistic electrodynamics: various postulates and ratiocinations," Progress In Electromagnetic Research, Vol. 52, 301-320, 2005.
doi:10.2528/PIER04092001

17. Twersky, V., "Scattering of waves by two objects," Electromagnetic Waves, 10-12, 1962.

18. Burke, J. E., D. Censor, and V. Twersky, "Exact inverse-separation series for multiple scattering in two dimensions," The Journal of Acoustical Society of America, Vol. 37, 5-13, 1965.
doi:10.1121/1.1909310

19. Censor, D., "The mathematical elements of relativistic free-space scattering," to appear in Progress In Electromagnetic Research, Vol. '' to appear in â€” Progress In Electromagnetic Research, 2005.

Dr. Dan Censor