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Numerical Simulation of Electromagnetic Solitons and Their Interaction with Matter

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Abstract

A suitable correction of the Maxwell model brings to an enlargement of the space of solutions, allowing for the existence of solitons in vacuum. We review the basic achievements of the theory and discuss some approximation results based on an explicit finite-difference technique. The experiments in two dimensions simulate travelling solitary electromagnetic waves, and show their interaction with conductive walls. In particular, the classical dispersion, exhibited by the passage of a photon through a small aperture, is examined.

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  1. Department of Mathematics, University of Modena and Reggio Emilia, Via Campi 213/B, 41125, Modena, Italy

    Daniele Funaro

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  1. Daniele Funaro
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Correspondence to Daniele Funaro.

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Funaro, D. Numerical Simulation of Electromagnetic Solitons and Their Interaction with Matter. J Sci Comput 45, 259–271 (2010). https://doi.org/10.1007/s10915-009-9338-5

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  • DOI: https://doi.org/10.1007/s10915-009-9338-5

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