The paperpresentsaquantummechanicaltreatmentforanalyzingtheSmith–Purcell radiation
generatedbychargedparticlespassingoveraperiodicconductingstructure.Inourtheoreticalmodel,
the electronsinteractwithasurfaceharmonicwaveexcitednearthediffractiongratingwhenthe
electron velocityisalmostequaltothephasevelocityofthesurfacewave.Then,thesurfaceharmonic
waveiselectromagneticallycoupledtoaradiationmode.Thedynamicsofelectronsareanalyzed
quantummechanicallywheretheelectronisrepresentedasatravelingelectronwavewitha finite
spreading length.Theconversionofthesurfacewaveintoapropagatingmodeisanalyzedusingthe
classical Maxwell'sequations.Inthesmall-signalgainregime,closed-formexpressionsforthe
contributions ofthestimulatedandspontaneousemissionstotheevolutionofthesurfacewaveare
derived.Theinclusionofthespreadinglengthoftheelectronwavetotheemissionspectrallineis
investigated.Finally,wecompareourresultsbasedonthequantummechanicaldescriptionofelectron
and thosebasedontheclassicalapproachwhereagoodagreementisconfirmed.
Research Abstract
Research Department
Research Journal
NuclearInstrumentsandMethodsin PhysicsResearchA
Research Member
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 785
Research Website
NULL
Research Year
2015
Research Pages
pp. 143–152