A suitable correction of the Maxwell model brings to anenlargement of the space of solutions, allowing for the existenceof solitons in vacuum. We review the basic achievements of thetheory and discuss some approximation results based on an explicitfinite-difference technique. The experiments in two dimensionssimulate travelling solitary electromagnetic waves, and show theirinteraction with conductive walls. In particular, the classicaldispersion, exhibited by the passage of a photon through a smallaperture, is examined.
Numerical Simulation of Electromagnetic Solitons and their Interaction with Matter / Funaro, Daniele. - In: JOURNAL OF SCIENTIFIC COMPUTING. - ISSN 0885-7474. - STAMPA. - 45:1-3(2010), pp. 259-271. [10.1007/s10915-009-9338-5]
Numerical Simulation of Electromagnetic Solitons and their Interaction with Matter
FUNARO, Daniele
2010
Abstract
A suitable correction of the Maxwell model brings to anenlargement of the space of solutions, allowing for the existenceof solitons in vacuum. We review the basic achievements of thetheory and discuss some approximation results based on an explicitfinite-difference technique. The experiments in two dimensionssimulate travelling solitary electromagnetic waves, and show theirinteraction with conductive walls. In particular, the classicaldispersion, exhibited by the passage of a photon through a smallaperture, is examined.
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