PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 25 > pp. 261-284

A Quest for Systematic Constitutive Formulations for General Field and Wave Systems Based on the Volterra Differential Operators

By D. Censor

Full Article PDF (349 KB)

Citation:
D. Censor, "A Quest for Systematic Constitutive Formulations for General Field and Wave Systems Based on the Volterra Differential Operators," Progress In Electromagnetics Research, Vol. 25, 261-284, 2000.
doi:10.2528/PIER99051401
http://www.jpier.org/PIER/pier.php?paper=9905141

References:
1. Stratton, J. A., Electromagnetic Theory, McGraw-Hill, 1941.

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

3. Morse, P. M. and K. U. Ingard, Theoretical Acoustics, McGraw-Hill, 1968.

4. Love, A. E. H., A Treatise On The Mathematical Theory of Elasticity, Dover.

5. Sokolnikoff, I. S., Mathematical Theory of Elasticity, McGraw-Hill, 1956.

6. Takeuchi, H., Theory Of The Earth’s Interior, Blaisdell, 1966.

7. Einstein, A., "Zur elektrodynamik bewegter korper," Ann. Phys. (Lpz.), Vol. 17, 891-921, 1905; English translation: ``On the electrodynamics of moving bodies," The Principle of Relativity, Dover.
doi:10.1002/andp.19053221004

8. Morse, P. M. and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, 1953.

9. Censor, D., "Simultaneity, causality, and spectral representations,", in process.

10. Censor, D., "Electrodynamics, topsy-turvy special relativity, and generalized Minkowski constitutive relations for linear and nonlinear systems," PIER, Progress In Electromagnetics Research, Vol. 18, 261-284, 1998.
doi:10.2528/PIER97071000

11. Minkowski, H., "Die grundgleichungen f¨ur die elektromagnetischen vorgange in bewegten korpem," Nachrichten Ges. Wiss. Gottingen, 53-116, 1908.

12. Sommerfeld, A., Electrodynamics, Dover, 1964.

13. Censor, D. and Y. Ben-Shimol, "Wave propagation in weakly nonlinear bi-anisotropic and bi- isotropic media," JEMWA Journal of Electromagnetic Waves and Applications, Vol. 11, 1763-1779, 1997.
doi:10.1163/156939397X00503

14. Felsen, L. B. and N. Marcuvitz, Radiation and Scattering of Waves, Prentice-Hall, 1973.

15. van Bladel, J., Singular Electromagnetic Fields and Sources, Clarendon Press, 1991.

16. Lindell, I. V., Methods for Electromagnetic Field Analysis, Oxford Science publications.

17. Milne, R. D., Applied Functional Analysis, An Introductory Treatment, Pitman, 1980.

18. Censor, D., "Quasi Doppler effects associated with spatiotemporal translatory, moving, and active boundaries," JEMWA Journal of Electromagnetic Waves and Applications, Vol. 13, 145-174, 1999.
doi:10.1163/156939399X00790

19. Censor, D., "Application-oriented ray theory," Intl. Journal of Electrical Engineering Education, Vol. 15, 215-223, 1978.
doi:10.1177/002072097801500305

20. Molcho, J., D. Censor, and J. Molcho, "A simple derivation and a classroom example for Hamiltonian ray propagation," American Journal of Physics, Vol. 54, 351-353, 1986.
doi:10.1119/1.14621

21. Censor, D., "Application-oriented relativistic electrodynamics," PIER- Progress In Electromagnetics Research, Editor J. A. Kong, Vol. 4, 119-158, Elsevier, 1991.

22. Volterra, V., Theory of Functionals and of Integral and Integro-Differential Equations, Dover, Dover.

23. Censor, D., "Ray tracing in weakly nonlinear moving media," Journal of Plasma Physics, Vol. 16, 415-426, 1976.
doi:10.1017/S0022377800020316


© Copyright 2014 EMW Publishing. All Rights Reserved