The mathematical elements of relativistic free-space scattering

Journal of Electromagnetic Waves and Applications

Volumn 19, Issue 7, 2005, Pages 907-923

  Censor, Dan ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRODYNAMICS; KINEMATICS; LIGHT VELOCITY; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; THEOREM PROVING; VECTORS;

EINSTEIN'S SPECIAL RELATIVITY THEORY; FREE SPACE SCATTERING; PLANE WAVE INTEGRAL REPRESENTATIONS; RELATIVISTIC ELECTRODYNAMICS;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 21644485413     PISSN: 09205071     EISSN: None     Source Type: Journal    
DOI: 10.1163/156939305775468697     Document Type: Article

References (16)

1. Stratton, J. A., Electromagnetic Theory, McGraw-Hill, 1941.
2. Censor, D., "Application-oriented relativistic electrodynamics (2)," Progress In Electromagnetics Research, PIER 29, 107-168, 2000.
3. Minkowski, H., "Die Grundgleichungen für die elektromagnetische Vorgänge in bewegten Körpern," Göttinger Nachrichten, 53-116, 1908.
4. Censor, D., "Relativistic electrodynamics: various postulates and ratiocinations," Progress In Electromagnetic Research, PIER 52, 301-320, 2005.
5. Einstein, A., "Zur Elektrodynamik bewegter Körper," Ann. Phys. (Lpz.), Vol. 17, 891-921, 1905;
6. English translation: "On the electrodynamics of moving bodies, " The Principle of Relativity, Dover.
7. Pauli, W., Theory of Relativity, Pergamon, 1958; also Dover Publications.
8. Van Bladel, J., Relativity and Engineering, Springer, 1984.
9. Kong, J. A., Electromagnetic Wave Theory, Wiley, 1986.
10. Twersky, V., "Scattering of waves by two objects," Electromagnetic Waves, R. E. Langer (ed.), 361-389, Proc. Symp. in Univ. of Wisconsin, Madison, April 10-12, 1961; The University of Wisconsin Press, 1962.
11. 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.
12. Twersky, V., "Multiple scattering by arbitrary configurations in three dimensions," Journal of Mathematical Physics, Vol. 3, 83-91, 1962.
13. Twersky, V., "Multiple scattering of electromagnetic waves by arbitrary configurations," Journal of Mathematical Physics, Vol. 8, 589-610, 1967.
14. Noether, F., "Spreading of electric waves along the earth," Theory of Functions, R. Rothe, F. Ollendorf, and K. Pohlhausen (eds.), 167, Dover, 1933.
15. Watson, G. N., A Treatise on the Theory of Bessel Functions, Cambridge University.
16. Censor, D., "Non-relativistic scattering in the presence moving objects: the Mie problem for a moving sphere," Progress In Electromagnetic Research, PIER 46, 1-32, 2004.