Geometrical enhancement of the electric field: Application of fractional calculus in nanoplasmonics
classification
❄️ cond-mat.dis-nn
cond-mat.mes-hallcond-mat.mtrl-sciphysics.optics
keywords
fractionalanalyticalcalculuselectricenhancementfieldapplicationapproach
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We developed an analytical approach, for a wave propagation in metal-dielectric nanostructures in the quasi-static limit. This consideration establishes a link between fractional geometry of the nanostructure and fractional integro-differentiation. The method is based on fractional calculus and permits to obtain analytical expressions for the electric field enhancement.
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