Activities per year
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.
Original language | English |
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Article number | 20150438 |
Pages (from-to) | 1 |
Number of pages | 12 |
Journal | Philosophical Transactions: Mathematical, Physical and Engineering Sciences |
Volume | 375 |
Issue number | 2087 |
Early online date | 9 Jan 2017 |
DOIs | |
Publication status | Published - 28 Feb 2017 |
Bibliographical note
© 2017 The Authors.Keywords
- Electron vortex, normal mods, eigenstates
- beam shaping
Activities
- 1 Conference participation
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MMC2017/EMAG2017
Yuan, J. (Organiser)
3 Jul 2017 → 6 Jul 2017Activity: Participating in or organising an event › Conference participation
Projects
- 2 Finished
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Physics and Applications of Electron Vortex Beams
Yuan, J. (Principal investigator) & Babiker, M. (Co-investigator)
1/02/13 → 31/01/16
Project: Research project (funded) › Research
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Development of next generation electron beam imaging techniques
Yuan, J. (Principal investigator), Babiker, M. (Co-investigator), El Gomati, M. M. (Co-investigator) & Tear, S. (Co-investigator)
1/10/12 → 31/07/16
Project: Research project (funded) › Research