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March 19, 2026JACOW0 citationsOpen Access

Analytical study of fringe fields and nonlinear transport in a sector-based energy analysis system

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YWYan O. WangYZYifeng ZengDXDongyun Xiao

Key Points

  • This research investigates the impact of fringe fields and nonlinear transport on low-energy electron beams in energy analysis systems.
  • Analytical study of fringe field-induced errors in energy analysis systems.
  • Theoretical derivation of compensation schemes for aberrations.
  • Simulations for validating the analytical findings.
  • Data processing techniques to correct second-order aberration errors.
  • Identified significant fringe-field-induced aberrations affecting momentum spectrum.
  • Proposed a compensation scheme that includes high-order momentum spread terms.
  • Demonstrated improvements in accuracy for operational energy analysis systems.

Abstract

Energy Analysis (EA) systems based on sector magnets are widely applied in accelerators. Nevertheless, for low-energy electron beams below 15 MeV, extra measurement errors introduced by fringe fields of the sector magnet cannot be neglected. Moreover, initial beams with large momentum spread will encounter system errors arising from nonlinear transport. Such fringe-field-induced aberrations and their impact on momentum spectrum are studied analytically and a compensation scheme considering high-order momentum spread terms is proposed. Further, the theoretical derivation is validated with simulations, and correction of second-order aberration errors is explored via data processing. These methods and conclusions improve the accuracy of built/operational EA systems without extra costs.

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Cite This Study

Wang et al. (2026) studied this question.

synapsesocial.com/papers/69bb92df496e729e629807bdhttps://doi.org/10.18429/jacow-sap2025-thp34
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