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$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

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Sharp-edge diffraction under Bessel beam illumination: a catastrophe optics perspective.

Riccardo Borghi, Cristian G Carosella

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|October 10, 2022

Summary

This summary is machine-generated.

This study develops a computational optics theory for Bessel beam diffraction through sharp-edge apertures. The method simplifies calculations using the unique properties of nondiffracting beams, enabling efficient analysis.

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Area of Science:

Computational optics
Wave optics
Mathematical physics

Background:

Boundary diffraction wave theory and catastrophe optics are powerful tools in computational optics.
Bessel beams are known for their nondiffracting properties.
Sharp-edge apertures introduce complex diffraction patterns.

Purpose of the Study:

To develop a general paraxial theory for Bessel beam diffraction by arbitrarily shaped sharp-edge apertures.
To provide a computationally efficient method for analyzing such diffraction phenomena.
To explain the axial intensity flattening effect observed with specific aperture shapes.

Main Methods:

Utilizing the delta-like nature of the angular spectrum of nondiffracting beams.
Representing the diffracted wavefield using 2D integrals over rectangular domains.
Employing standard Monte Carlo techniques for numerical evaluation.

Main Results:

A general paraxial theory for Bessel beam diffraction is established.
The diffracted wavefield can be efficiently computed using Monte Carlo methods.
A theoretical explanation for the axial intensity flattening of apodized Bessel beams by heart-like apertures is provided.

Conclusions:

The developed theory offers an efficient approach to studying Bessel beam diffraction.
The combination of boundary diffraction wave theory and catastrophe optics is extended to paraxial regimes.
The study provides insights into aperture design for controlling beam intensity profiles.