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We demonstrate that spin-dependent electron diffraction is possible for asmooth range of transverse electron momenta in a two-photon Bragg scatteringscenario of the Kapitza-Dirac effect. Our analysis is rendered possible byintroducing a generalized specification for quantifying spin-dependentdiffraction, yielding an optimization problem which is solved by making use ofa Newton gradient iteration scheme. With this procedure, we investigate thespin-dependent effect for different transverse electron momenta and differentlaser polarizations of the standing light wave Kapitza-Dirac scattering. Thepossibility for using arbitrarily low transverse electron momenta, when settingup a spin-dependent Kapitza-Dirac experiment allows longer interaction times ofthe electron with the laser and therefore enables less constraining parametersfor an implementation of the effect.

Parameter space investigation for spin-dependent electron diffraction in the Kapitza-Dirac effect