Abstract

Optical vortex (OV) beams are widely used for the generation of light fields with transverse energy flow inducing orbital motion of the nano- and microparticles in the transverse plane. Here, we present some new modifications of OV beams with autofocusing properties for shaping complex transverse energy flow distributions varying in space. The angular component of the complex amplitude of these beams is defined by the superpositions of OV beams with different topological charges. The proposed approach provides a convenient method to control the three-dimensional structure of the generated autofocusing OV beams. The control of the transverse distribution of an autofocusing beam provides a wide variety of generated fields with both rotating and periodic properties, which can be used in the field of laser manipulation and laser material processing. Thus, the obtained numerical results predict different types of motion of the trapped particles for the designed OV autofocusing beams. The experimental results agree with modeling results and demonstrate the principal possibility to shape such laser beams using spatial light modulators.

Highlights

  • Structured optical beams with given 3D distribution and characteristics are in demand in various applications, information on which can be found in research and review publications [1,2,3,4,5,6,7,8,9,10]

  • The second approach is more convenient for experimental implementation; the nonlinear vortex phase provides the formation of one type of transverse distribution in the form of a spiral [43]

  • We consider the circular Airy functions as functions depending on the radius: r r0 − r

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Summary

Introduction

Structured optical beams with given 3D distribution and characteristics are in demand in various applications, information on which can be found in research and review publications [1,2,3,4,5,6,7,8,9,10]. Due to the transverse beam structure varying depending on the distance, which expands the possibilities of using such beams in various applications Note that in these works, to obtain the rotation effect, either the spatial combination of different beams was used, for example, by sectors [35], rings [36], or inserting a nonlinear vortex phase into a beam [23]. The second approach is more convenient for experimental implementation; the nonlinear vortex phase provides the formation of one type of transverse distribution in the form of a spiral [43]. We consider the control of the transverse distribution of an autofocusing beam due to the coaxial superposition of several optical vortices, which can provide a wide variety of generated fields with both rotating and periodic properties [44,45]. The results of modeling the distribution of intensity and TEFD and the experimental results of measuring the intensity are in good agreement

Theoretical Analysis
Results of Modeling and Experiment
Experimental
Simulation results fordefined the field
Circular Airy Beams with Vortex Superposition
Simulation resultsresults for the field bydefined
Results of and experiments for the
Azimuthally Modulated Circular Vortex Airy Beams
3.2(Tables
Conclusions
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