Abstract

At first sight, any rotation generates some angular momentum (it is true for a solid body). But these characteristics (rotation and orbital angular momentum) are rather different for optics and mechanics. In optics there are the situation when the rotation is important. On the other hand, there are the cases where the nonzero orbital angular momentum is necessary. The main goal of this article is to investigate a relationship between a rotation under propagation of spiral beam and its angular momentum. It can be done the following conclusion: there is no any relation between rotation under propagation of spiral beam and its OAM.

Highlights

  • Spiral beams are a family of the lightfields whose intensity distribution remains invariant, up to scale and rotation, during propagation [1, 2]

  • At first sight any rotation generates some angular momentum but it is not so for the spiral beams

  • There is the investigation of relationship between a rotation under propagation of spiral beam and its angular momentum

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Summary

Introduction

Spiral beams are a family of the lightfields whose intensity distribution remains invariant, up to scale and rotation, during propagation [1, 2]. At first sight any rotation generates some angular momentum (it is true for a solid body) but it is not so for the spiral beams. These characteristics (rotation and orbital angular momentum) are rather different. The relationship between the rotation and orbital angular momentum (OAM) in some cases have considered partly. In [1] the examples of the light fields with opposite rotation and equal OAM takes place. In [5] the example of light field with nonzero rotation but zero OAM has been presented. There is the investigation of relationship between a rotation under propagation of spiral beam and its angular momentum

Orbital angular momentum
OAM and rotation of the spiral beams
Conclusion
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