PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 30 > pp. 305-335

CONSTITUTIVE RELATIONS IN INHOMOGENEOUS SYSTEMS AND THE PARTICLE-FIELD CONUNDRUM

By D. Censor

Full Article PDF (368 KB)

Abstract:
Recently a general framework has been proposed for constitutive relations. This theoretical approach attempted to represent constitutive relations as spatiotemporal differential operators acting on the physically observable fields. The general statement is sufficiently broad to embrace linear and nonlinear systems, and dispersive as well as inhomogeneous systems. The present study investigates specific examples related to polarizable and chiral media. It was immediately realized that prior to working out the examples, we have to better understand the relation of the kinematics of particles to field concepts. Throughout, the Minkowski space notation and related relativistic ideas are exploited for simpler notation and deeper understanding.

Citation:
D. Censor, "Constitutive Relations in Inhomogeneous Systems and the Particle-Field Conundrum," Progress In Electromagnetics Research, Vol. 30, 305-335, 2001.
doi:10.2528/PIER99090201
http://www.jpier.org/PIER/pier.php?paper=9909021

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

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

3. Sommerfeld, A., Mechanics of Deformable Bodies, Academic Press, 1964.

4. Lamb, H., Hydrodynamics, Dover.

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

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

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

8. Takeuchi, H., Theory of the Earth’s Interior, Blaisdell, 1966.

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

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

11. Minkowski, H., "Die Grundgleichungen f¨ur die elektromagnetischen Vorg¨ange in bewegten Korpern," Nachrichten Ges. Wiss. Gottingen, 53-116, 1908.

12. Censor, D., "A quest for systematic constitutive formulations for general field and wave systems based on the Volterra differential operators," Progress in Electromagnetics Research, Editor J. A. Kong, Vol. 25, 261–284, 2000.

13. von Hippel, A., Dielectric Materials and Applications, Artech House, 1995.

14. Lindell, I. V., A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-Isotropic Media, Artech House, 1994.

15. Sihvola, A. H. and I. V. Lindell, "Material effects in bi-anisotropic electromagnetics," IEICE Trans. on Electronics, Vol. E78-C, 1383-1390, 1995.

16. Lindell, I. V., S. A. Tretyakov, and A. J. Viitanen, "Plane-wave propagation in a uniaxial chiro-omega medium," Microwave and Optical Technology Letters, Vol. 6, 517-520, 1993.
doi:10.1002/mop.4650060902

17. Tretyakov, S. A., F. Mariotte, C. R. Simovski, T. G. Kharina, and J.-P. Heliot, "Analytical antenna model for chiral scatterers: Comparison with numerical and experimental data," IEEE Transactions on Antennas and Propagation, Vol. 44, 1996.
doi:10.1109/8.504309

18. Sihvola, A. H. and S. A. Tretyakov, "Magnetoelectric interactions in bi-anisotropic media," Journal of Electromagnetic Waves and Applications, Vol. 12, 481-497, 1998.
doi:10.1163/156939398X00917


© Copyright 2014 EMW Publishing. All Rights Reserved