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The important convolution properties include width, area, differentiation, and integration properties.
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Optical vortex convolution generator and quasi-Talbot effect.

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    This study introduces a simple optical vortex convolution generator using a microlens array (MLA) and focusing lens (FL) to create vortex arrays. The method efficiently generates high spatial frequency vortex arrays with potential applications in optical tweezers and communication.

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    Area of Science:

    • Optics and Photonics
    • Vortex Beam Generation
    • Optical Metrology

    Background:

    • Optical vortices are fundamental in modern optics.
    • Generating structured light, such as vortex arrays, is crucial for advanced applications.
    • Existing methods for generating vortex arrays can be complex or inefficient.

    Purpose of the Study:

    • To propose a simple and efficient optical vortex convolution generator.
    • To convert a single optical vortex into a vortex array using a microlens array (MLA) and focusing lens (FL).
    • To investigate the generation of high-order vortex arrays and observe related optical phenomena.

    Main Methods:

    • Utilizing a microlens array (MLA) as an optical convolution device.
    • Employing a focusing lens (FL) to obtain the far field and form the vortex array.
    • Theoretical analysis and experimental verification using MLAs of different sizes.
    • Investigating the self-imaging Talbot effect of the generated vortex array.

    Main Results:

    • Successfully converted a single optical vortex into a vortex array.
    • Experimentally verified the optical field distribution on the focal plane.
    • Observed the self-imaging Talbot effect of the vortex array.
    • Demonstrated the generation of high-order vortex arrays.

    Conclusions:

    • The proposed method offers a simple structure and high optical power efficiency.
    • It enables the generation of high spatial frequency vortex arrays from low spatial frequency devices.
    • This technique shows excellent application prospects in optical tweezers, optical communication, and optical processing.