2017
DOI: 10.1088/1367-2630/aa5f6f
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Efficient sorting of free electron orbital angular momentum

Abstract: We propose a method for sorting electrons by orbital angular momentum (OAM). Several methods now exist to prepare electron wavefunctions in OAM states, but no technique has been developed for efficient, parallel measurement of pure and mixed electron OAM states. The proposed technique draws inspiration from the recent demonstration of the sorting of OAM through modal transformation. We show that the same transformation can be performed on electrons with electrostatic optical elements. Specifically, we show tha… Show more

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Cited by 40 publications
(36 citation statements)
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“…Only recently the first demonstration of this method has been realised using holographic gratings (with all the ensuing limitations in terms of efficiency) [225]. There were also proposals to employ more efficient electrostatic optical components, but these have yet to be realised experimentally [226]. Several other approaches to OAM measurement have been developed in optics, with sensitivity up to the single-photon level [34,227].…”
Section: Advantagesmentioning
confidence: 99%
See 1 more Smart Citation
“…Only recently the first demonstration of this method has been realised using holographic gratings (with all the ensuing limitations in terms of efficiency) [225]. There were also proposals to employ more efficient electrostatic optical components, but these have yet to be realised experimentally [226]. Several other approaches to OAM measurement have been developed in optics, with sensitivity up to the single-photon level [34,227].…”
Section: Advantagesmentioning
confidence: 99%
“…14 Thus, retrieving the desired magnetic information about the sample requires an efficient far-field OAM sorter for transmitted electrons. Such an ideal sorter is not currently available (as discussed in Section 3.3), although promising setups have been proposed [226]. The first hints of this effect have been demonstrated on a ferromagnetic iron sample, using a forked holographic grating as an OAM filter before the electron spectrometer [77].…”
Section: Eels Cross-sections and Selection Rules Magnetic Dichroismmentioning
confidence: 99%
“…What we expect to observe in practice is (12) where is the product of two Gaussian functions describing broadening introduced by the experimental setup. The OAM is treated as a continuous variable, since the sorter can transform a vortex with topological charge l in a spot centered at coordinate Cl [19,20,21] with a lateral extension equal to (where C is a constant that depends on the sorter parameters and is assigned a value of unity for simplicity in the images presented in the main text). Figure 3b shows the result of this convolution procedure for and , as this is the resolution expected using a sorter in a fan-out configuration, as recently demonstrated for optical sorters [35].…”
Section: Resultsmentioning
confidence: 99%
“…We have realized an electrostatic "sorter" for electrons, which can be used to analyze the components of orbital angular momentum (OAM) of an electron beam [1]. It is based on the use of a combination of microscope lenses and additional customized phase elements that are positioned in the back focal plane of the objective and the first intermediate image planes (SAD aperture) of the microscope.…”
mentioning
confidence: 99%