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Interference and Diffraction02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
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Van de Graaff generators (or Van de Graaffs) are devices used to demonstrate high voltage due to static electricity that can also be used for research. Robert Van de Graaff first built one in 1931 (based on original suggestions by Lord Kelvin) for use in nuclear physics research.
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Updated: May 14, 2026

Scanning SQUID Study of Vortex Manipulation by Local Contact
06:53

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Published on: February 1, 2017

Electron vortex production and control using aberration induced diffraction catastrophes.

T C Petersen1, M Weyland, D M Paganin

  • 1School of Physics, Monash University, Victoria 3800, Australia. timothy.petersen@monash.edu

Physical Review Letters
|February 5, 2013
PubMed
Summary
This summary is machine-generated.

Electron diffraction catastrophes reveal vortex cores in electron beams. Researchers mapped orbital angular momentum density, observing vortex rings and topological reconnections using phase retrieval.

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Last Updated: May 14, 2026

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Fabrication of Magnetic Nanostructures on Silicon Nitride Membranes for Magnetic Vortex Studies Using Transmission Microscopy Techniques
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Fabrication of Magnetic Nanostructures on Silicon Nitride Membranes for Magnetic Vortex Studies Using Transmission Microscopy Techniques

Published on: July 2, 2018

Area of Science:

  • Electron microscopy
  • Optics
  • Materials science

Background:

  • Electron diffraction patterns can exhibit complex structures.
  • Vortices in wave phenomena are associated with topological defects.
  • Aberration correction enhances electron microscope resolution.

Purpose of the Study:

  • To investigate electron diffraction catastrophes.
  • To understand the formation and behavior of vortices in electron beams.
  • To map orbital angular momentum density in electron probes.

Main Methods:

  • Utilizing an aberration-corrected electron microscope.
  • Applying catastrophe theory and scalar diffraction integrals.
  • Employing focal-series phase retrieval to obtain wave function phases.

Main Results:

  • Observed arrays of intensity zeros forming vortex cores.
  • Successfully ascribed vortices to these arrays.
  • Mapped orbital angular momentum density for astigmatic electron probes.
  • Detected vortex rings and topological reconnections of nodal lines.

Conclusions:

  • Electron diffraction catastrophes provide a framework for understanding vortex formation.
  • Phase retrieval is crucial for analyzing electron probe topology.
  • The study demonstrates novel observations of vortex dynamics in electron beams.