Thirunavukkarasu, G. orcid.org/0000-0002-8978-5304, Mousley, M., Babiker, M. orcid.org/0000-0003-0659-5247 et al. (1 more author) (2017) Normal modes and mode transformation of pure electron vortex beams. Philosophical Transactions: Mathematical, Physical and Engineering Sciences. 20150438. p. 1. ISSN 1471-2962
Abstract
Electron vortex beams constitute the first class of matter vortex beams which are currently routinely produced in the laboratory. Here, we briefly review the progress of this nascent field and put forward a natural quantum basis set which we show is suitable for the description of electron vortex beams. The normal modes are truncated Bessel beams (TBBs) defined in the aperture plane or the Fourier transform of the transverse structure of the TBBs (FT-TBBs) in the focal plane of a lens with the said aperture. As these modes are eigenfunctions of the axial orbital angular momentum operator, they can provide a complete description of the two-dimensional transverse distribution of the wave function of any electron vortex beam in such a system, in analogy with the prominent role Laguerre- Gaussian (LG) beams played in the description of optical vortex beams. The characteristics of the normal modes of TBBs and FT-TBBs are described, including the quantized orbital angular momentum (in terms of the winding number l) and the radial index p> 0. We present the experimental realization of such beams using computer-generated holograms. The mode analysis can be carried out using astigmatic transformation optics, demonstrating close analogy with the astigmatic mode transformation between LG and Hermite-Gaussian beams.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2017 The Authors. |
Keywords: | Electron vortex, normal mods, eigenstates,beam shaping |
Dates: |
|
Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Physics (York) |
Funding Information: | Funder Grant number THE ROYAL SOCIETY Woflson Lab Refurbishment EPSRC EP/J022098/1 |
Depositing User: | Pure (York) |
Date Deposited: | 20 Feb 2017 09:20 |
Last Modified: | 16 Dec 2024 00:07 |
Published Version: | https://doi.org/10.1098/rsta.2015.0438 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1098/rsta.2015.0438 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:112543 |
Download
Filename: 20150438.full.pdf
Description: Normal modes and mode transformation of pure electron vortex beams
Licence: CC-BY 2.5