volume | PIER Journals

Abstract

Dynamics of interference interaction of counter-propagating electromagnetic pulses on a magneto-dielectric slab is studied in time domain. Energy redistribution in the counter-propagating pulses with arbitrary waveforms is considered. The maximal energy redistribution in the diffracted field takes place under certain conditions. The conditions are found and their physical explanation is supplied. The problem of transient electromagnetic wave diffraction on homogeneous magneto-dielectric slab is solved analytically by means of Laplace transform. The analytical solution is in agreement with numerical simulation based on finite difference time domain approach.

1. Born, M. and E. Wolf, Principles of Optics, University Press, Cambridge, 2003.

2. Kolokolov, A. A. and G. V. Skrotskii, "Interference of reactive components of an electromagnetic field," Physics-Uspekhi, Vol. 35, No. 12, 1089-1093, 1992.
doi:10.1070/PU1992v035n12ABEH002282

3. Sidorenkov, V. V. and V. V. Tolmachev, "Effects of tunnel electromagnetic interference in metal films," Pisma v Zhurnal Tekhnicheskoi Fiziki, Vol. 15, No. 21, 34-37, 1989 (in Russian).

4. Sidorenkov, V. V. and V. V. Tolmachev, "Effects of electromagnetic interference in metal plates," Pisma v Zhurnal Tekhnicheskoi Fiziki, Vol. 16, No. 3, 20-24, 1990 (in Russian).

5. Sementsov, D. I., V. V. Efimov, and S. A. Afanas'ev, "Tunneling electromagnetic interference under conditions of ferromagnetic," Technical Physics Letters, Vol. 19, No. 6, 327-329, 1993.

6. Afanas'ev, S. A. and D. I. Sementsov, "Tunneling interference of counterpropagating waves in the region of negative magnetic permeability," Technical Physics, Vol. 42, No. 10, 1181-1183, 1997.
doi:10.1134/1.1258798

7. Strashevskyi, A. V., V. B. Kazansky, and V. R. Tuz, "Interference interaction of counter-propagating coherent waves in a photon crystal with a ferrite insert," Radio Physics and Radio Astronomy, Vol. 2, No. 4, 353-358, 2011.
doi:10.1615/RadioPhysicsRadioAstronomy.v2.i4.80

8. Sannikov, D. G. and D. I. Sementsov, "Interference of counterpropagating waves in a nonreciprocal chiral medium," Technical Physics Letters, Vol. 33, No. 12, 996-999, 2007.
doi:10.1134/S1063785007120048

9. Miller, K. S. and R. J. Schwarz, "On the interference of pulse trains," J. Appl. Phys., Vol. 24, No. 8, 1-5, 1953.
doi:10.1063/1.1721430

10. Narahara, K., "Interaction of nonlinear pulses developed in coupled transmission lines regularly spaced Schottky varactors," Progress In Electromagnetics Research Letters, Vol. 17, 85-93, 2010.
doi:10.2528/PIERL10072611

11. Novitsky, D. V., "Pulse trapping inside a one-dimensional photonic crystal with relaxing cubic nonlinearity," Phys. Rev. A, Vol. 81, No. 053814, 1-7, 2010.

12. Novitsky, D. V., "Asymmetric light transmission through a photonic crystal with relaxing Kerr nonlinearity," Europhysics Letters, Vol. 99, No. 44001, 1-6, 2012.

13. Centini, M., G. D'Aguanno, M. Scalora, M. J. Bloemer, C. M. Bowden, C. Sibilia, N. Mattiucci, and M. Bertolotti, "Dynamics of counterpropagating pulses in photonic crystals: Enhancement and suppression of stimulated emission processes," Phys. Rev. E, Vol. 67, No. 036617, 1-4, 2003.

14. Masalov, S., O. Puzanov, and A. Timchenko, "The diffraction of video pulses on dielectric slabs," Proc. 6-th Int. Conf. Mathematical Methods in Electromagnetic Theory, 108-111, Lvov, Ukraine, 1996.

15. Schiff, J. L., The Laplace Transform: Theory and Applications, Springer-Verlag, New York, 1999.

16. Tafove, A. and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, London, 2000.

Dr. Bogdan A. Kochetov