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Updated: Jun 15, 2026
12:14
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Apertured paraxial Bessel beams
1Cankaya University, Electronic and Communication Department, Oğretmenler Cad., No. 14, Yüzüncü Yil, Balgat, Ankara 06530, Turkey. yziya@cankaya.edu.tr
Summary
This study investigates the scattering of paraxial Bessel beams through a circular aperture in an absorbing screen. Numerical examination of the resulting scattered fields, expressed via Fresnel integrals, provides key insights into beam behavior.
Area of Science:
- Optics and photonics
- Wave phenomena
Background:
- Bessel beams are non-diffracting beams with unique propagation characteristics.
- Understanding beam scattering is crucial for applications in imaging and material science.
Purpose of the Study:
- To investigate the scattering of paraxial Bessel beams by a circular aperture in an absorbing screen.
- To analyze the scattered electromagnetic fields using diffraction theory.
Main Methods:
- Applied paraxial approximation to obtain the Bessel beam.
- Evaluated the Kirchhoff diffraction integral.
- Expressed scattered fields using Fresnel integrals.
- Performed numerical examination of the results.
Main Results:
- Derived expressions for scattered fields in terms of Fresnel integrals.
- The paraxial approximation simplifies the analysis of Bessel beam scattering.
- Numerical analysis provides quantitative understanding of the scattering patterns.
Conclusions:
- The study successfully models the scattering of paraxial Bessel beams through a circular aperture.
- The methodology provides a framework for analyzing beam-wave interactions with apertures.
- Numerical results offer practical data for optical system design.
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