Force de Casimir et Plasmon de surfaces Gauthier Torricelli ... - CNRS
Force de Casimir et Plasmon de surfaces Gauthier Torricelli ... - CNRS
Force de Casimir et Plasmon de surfaces Gauthier Torricelli ... - CNRS
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<strong>Force</strong> <strong>de</strong> <strong>Casimir</strong><strong>et</strong> <strong>Plasmon</strong> <strong>de</strong> <strong>surfaces</strong><strong>Gauthier</strong> <strong>Torricelli</strong>, Mario Rodrigues,G. JourdanF. Comin, Joël ChevrierUniversité Joseph Fourier GrenobleLEPES <strong>CNRS</strong> GrenobleESRF GrenobleColl. Serge Huant Martin Stark SpectroColl. Astrid Lambrecht Serge Reynaud LKB
<strong>Force</strong> attractiveentre 2 plaques métalliquesdans le vi<strong>de</strong>
For many others, physicistand research director at Philips
L=1000nm=1mA=50mx50mF Cas=3pNcf Bruit kTD’après un transparent <strong>de</strong> A. Lambrechthttp://arachne.spectro.jussieu.fr/Vacuum/Lambrecht/Limite <strong>de</strong> <strong>Casimir</strong>:longue distance
Energie <strong>de</strong> point zero du champ électromagnétique:1hωi.......issu . <strong>de</strong>.la.quantification.<strong>de</strong>...2Large distance limitand perfect mirrorεoE 2 B2μod 3 r
D’après un transparent <strong>de</strong> A. Lambrechthttp://arachne.spectro.jussieu.fr/Vacuum/Lambrecht/Gen<strong>et</strong>/Lambrecht/Reynaud/LKB
Longueur caractéristique dans le problème:longueur plasma p= 2 c/ pPour un métal standard (Au, Al,…) p 100nm• d >> prégime r<strong>et</strong>ardé (<strong>Casimir</strong>)mo<strong>de</strong>s étendus• d
Au voisinage <strong>et</strong> au <strong>de</strong>ssous <strong>de</strong> pDes miroirs parfaits ………aux………..matériaux réels……Des photons en cavité…………..…aux électrons/plasmonsavec échange <strong>de</strong> photons virtuels (vdw)
Or<strong>de</strong>rs of magnitu<strong>de</strong>:-van <strong>de</strong>r waals with an AFM tip(limite non r<strong>et</strong>ardée D
Mesure (thèse <strong>de</strong> G. <strong>Torricelli</strong> LEPES 2001-2004)Omicron VT UHV AFM100nm < z < 500nm Vpolystyrene sphere R=42 m m<strong>et</strong>al coating(gold) =300 nm
à courtes distances: D
M<strong>et</strong>ho<strong>de</strong> <strong>de</strong> mesuredf FresAmplitu<strong>de</strong> (a.u)4,03,53,02,52,01,51,02,5V2,0V0,5V resF reskV0,50,019200 19300 19400 19500 19600 19700frequency (Hz)
D = 10nm
<strong>Casimir</strong>/vdwinteraction(fit in z -3 )f (Hz)50-5-10-15-20-25-30-35D=50nmgrad F= 10 -1 N/mLimite p86.4 m-400 50 100 150 200 250 300 350 400Distance (nm)f res=52.670 kHzK ≈ 88.6N/mZ ≈ 0.05 - 0.4 mElectrostatic longrange interactionV=0.5volt (fit in z -2 )
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