Testing scalar diffraction theory: Gaussian beam on a slit
- 20 April 2020
- journal article
- research article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 37 (5), 752-758
- https://doi.org/10.1364/josaa.388703
Abstract
We recorded diffraction patterns using a commercially available slit and sensor over a wide range of experimental circumstances, including near- and far-field regimes and oblique incidence at large angles. We then compared the measured patterns with theoretical intensity curves calculated via the numerical integration of formulas derived within the framework of scalar diffraction theory. Experiment and theory show particularly good agreement when the first Rayleigh-Sommerfeld (R-S) formula is used. The Kirchhoff formula, though problematic in the context of mathematical consistency, agrees with the first R-S formula, even for large incidence angles, whereas the second R-S formula differs visibly. To obtain such a good agreement, we replaced the assumption of an incident plane wave with that of a Gaussian beam and implemented geometric corrections to account for slit imperfections. These results reveal how the scope of scalar diffraction theory can be extended with a small set of auxiliary assumptions. (C) 2020 Optical Society of AmericaFunding Information
- Hrvatska Zaklada za Znanost (HRZZ-IP-2014-09-7515)
- University of Rijeka (RC.2.2.06-0001, Incoming Mobility Program)
This publication has 17 references indexed in Scilit:
- Propagation and diffraction of truncated Gaussian beamsJournal of the Optical Society of America A, 2001
- Fraunhofer diffraction of visible light by a narrow slitAmerican Journal of Physics, 1994
- Validity of the scalar Kirchhoff and Rayleigh–Sommerfeld diffraction theories in the near field of small phase objectsJournal of the Optical Society of America A, 1991
- Fraunhofer Diffraction of Gaussian Laser Beams by Single-SlitsJapanese Journal of Applied Physics, 1980
- Scalar Rayleigh–Sommerfeld and Kirchhoff diffraction integrals: A comparison of exact evaluations for axial points*Journal of the Optical Society of America, 1973
- Consistent Formulation of Kirchhoff’s Diffraction Theory*Journal of the Optical Society of America, 1966
- Laser Beams and ResonatorsApplied Optics, 1966
- Comparison of the Kirchhoff and the Rayleigh–Sommerfeld Theories of Diffraction at an ApertureJournal of the Optical Society of America, 1964
- Microwave Aperture Antennas and Diffraction Theory*Journal of the Optical Society of America, 1962
- On the foundation of the scalar diffraction theory of optical imagingProceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 1952