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On nonlocal complex Maxwell equations and wave motion in electrodynamics and dielectric media

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Abstract

A formulation of Maxwell’s equations on the complex domain is presented in this paper which is based on the extension of the nonlocal-in-time kinetic energy approach recently introduced by Suykens. New wave equations with time-dependent source terms are obtained in a uniform optical medium. A number of physical effects were raised and their implications in classical electrodynamics besides to the propagation of waves in dielectric media are analyzed and discussed accordingly.

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Acknowledgements

The author would like to thank the anonymous referees for their useful comments and valuable suggestions.

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  1. Mathematics and Physics Divisions, Athens Institute for Education and Research, 8 Valaoritou Street, Kolonaki, 10671, Athens, Greece

    Rami Ahmad El-Nabulsi

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El-Nabulsi, R.A. On nonlocal complex Maxwell equations and wave motion in electrodynamics and dielectric media. Opt Quant Electron 50, 170 (2018). https://doi.org/10.1007/s11082-018-1436-x

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