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May 29, 2026Optics0 citationsOpen Access

Energy, Momentum, and Angular Momentum of Non-Diffracting Tricomi Beams

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JHJunting HeXLX M LiuDFDonglin Fan

Key Points

  • This work aims to examine the energy, momentum, and angular momentum of non-diffracting Tricomi beams.
  • Utilized vector potential in Lorenz gauge to derive analytical expressions for electric and magnetic fields.
  • Introduced a canonical theory describing energy, momentum, SAM, and OAM of Tricomi beams.
  • Simulated effects of asymmetry constants, topological charge, and half-cone angle on beam characteristics.
  • Derived analytical expressions show distinct relationships between energy, momentum, SAM, and OAM.
  • Simulations reveal significant influences of topological charge and half-cone angle on beam dynamics.
  • Findings suggest potential applications in optical manipulation utilizing non-diffracting Tricomi beams.

Abstract

In this work, we report a theoretical study of the energy, momentum, and angular momentum of non-diffracting Tricomi beams. By utilizing the vector potential in the Lorenz gauge, we derive the explicit analytical expressions for the electric and magnetic field components of non-diffracting Tricomi beams. A canonical theory is introduced to describe the energy, momentum, spin angular momentum (SAM), and orbital angular momentum (OAM) of the non-diffracting Tricomi beams. The effects of the asymmetry constants, topological charge, and half-cone angle on the energy, momentum, SAM, and OAM of the non-diffracting Tricomi beams are simulated and analyzed. This study provides fundamental physical insights into the dynamical characteristics of non-diffracting Tricomi beams relevant to potential optical manipulation applications.

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Cite This Study

He et al. (2026) studied this question.

synapsesocial.com/papers/6a192e39fab5b468c44173fehttps://doi.org/10.3390/opt7030037
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