Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 58 > pp. 51-70


By D. Censor

Full Article PDF (164 KB)

A novel approach based on spatiotemporal differential- operators is developed here for broadband, velocity-dependent scattering. Unlike the spectral-domain representations, the new method facilitates a compact formulation for scattering by arbitrary excitation signals, in the presence of moving objects. In free space (vacuum), relativistically exact formulas are developed. After developing the general theory, analysis of relativistically exact free-space scattering by cylinders, and a half-plane, are examined. For cylinders the analysis shows that in the far field pulses are located on circles in the co-moving reference-frame where the ob ject is at-rest. In other reference frames this feature is valid only as an approximation. These results apply also to the diffractive part of the half-plane scattered field. The geometrical-optics contribution is associated with plane-waves and obeys the appropriate transformations. The various zones for these fields in an arbitrary reference-frame are analyzed.

Citation: (See works that cites this article)
D. Censor, "Broadband Spatiotemporal Differential-Operator Representations for Velocity-Dependent Scattering," Progress In Electromagnetics Research, Vol. 58, 51-70, 2006.

1. Censor, D., "Application-oriented relativistic electrodynamics (2)," Progress In Electromagnetics Research, Vol. 29, 107-168, 2000.

2. Einstein, A., "Zur elektrodynamik bewegter börper," The Principle of Relativity, Vol. 17, 891-921, 1905.

3. Censor, D., "The mathematical elements of relativistic free-space scattering," J. of Electromagn. Waves and Appl., Vol. 19, 907-923, 2005.

4. Censor, D., "Relativistic electrodynamics: various postulates and ratiocinations," PIER-Progress In Electromagnetic Research, Vol. 52, 301-320, 2005.

5. Censor, D., I. Arnaoudov, and G. Venkov, "Differential-operators for circular and elliptical wave-functions in free-space relativistic scattering," J. of Electromagn. Waves and Appl., Vol. 19, 1251-1266, 2005.

6. Censor, D., "Free space multiple scattering by moving objects," J. of Electromagn. Waves and Appl., Vol. 19, 1157-1170, 2005.

7. Sommerfeld, A., Electrodynamics, Academic Press, 1964.

8. Censor, D., "Dispersion equations in moving media," Proceedings IEEE, Vol. 68, 528-529, 1980.

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

10. Kong, J. A., Electromagnetic Wave Theory, Wiley, 1986.

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

12. Rossi, B., Optics, Addison-Wesley, 1962.

13. Sommerfeld, A., Optics, Vol. IV, Lectures on Theoretical Physics, Vol. IV, Academic Press, 1964.

14. Born, M. and E. Wolf, Principles of Optics, 6th (corrected) ed., Pergamon Press, 1989.

15. Noble, B., Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations, Pergamon Press, 1958.

16. De Cupis, P., P. Burghignoli, G. Gerosa, and M. Marziale, "Electromagnetic wave scattering by a perfectly conducting wedge in uniform translational motion," J. of Electromagn. Waves and Appl., Vol. 16, 345-364, 2002.

© Copyright 2014 EMW Publishing. All Rights Reserved