Talbot effect of azimuthally periodic Bessel-based structures.

Area of Science:

• Optics and Photonics
• Diffraction Theory
• Optical Trapping

Background:

• Self-imaging is a phenomenon where an object reconstructs itself in its far field.
• Bessel-based structures offer unique propagation-invariant properties.
• Azimuthal periodicity is crucial for specific optical field manipulations.

Purpose of the Study:

• To present the theory of self-imaging for azimuthally periodic Bessel-based structures (APBBSs) in polar coordinates.
• To define and investigate single- and multi-frequency APBBSs.
• To explore the potential of APBBSs for creating optical trap arrays.

Main Methods:

• Theoretical formulation of self-imaging in polar coordinates for APBBSs.
• Definition of single- and multi-frequency APBBSs.
• Theoretical and experimental investigation of near-field diffraction patterns.

Main Results:

• Demonstration that APBBSs exhibit self-images under plane-wave illumination.
• Characterization of sinusoidal and binary-like single-frequency APBBSs.
• Observation of 2D arrays of optical traps generated by diffraction from APBBSs.

Conclusions:

• APBBSs possess self-imaging properties, expanding the understanding of structured light.
• The diffraction patterns of APBBSs can be engineered to create versatile 2D optical trap arrays.
• This work provides a foundation for advanced optical manipulation and multi-trapping techniques.