Editor-in-Chief : V.K. Rastogi
| Asian Journal of Physics | Vol. 33, No 12 (2024) 825-833 |
Symmetry using Fraunhofer propagator for 2D and 3D real objects
L Mancio1, R Hernandez-Delesma2 and A Olivares-Pérez
1Instituto Nacional de Astrofísica Óptica y Electrónica, calle Luis Enrique Erro No. 1,
Santa María Tonantzintla, 72840, Puebla, México
Dedicated to Prof (Dr) Daniel Malacara-Hernández
An analytical theoretical study of 2D and 3D objects using the laws of Fraunhofer diffraction is presented. The induction of symmetry following the Fourier properties of algebraic rules is demonstrated. For a completely random distribution in any type of 2D and 3D real object, there is no symmetry. However, when the real object is propagated to the far field forming the diffracted field, a particular symmetry of conjugate pairs is generated for every point as a reflection through the origin. © Anita Publications. All rights reserved.
Doi: 10.54955/AJP.33.12.2024.825-833
Keywords: Diffraction theory, Algebraic optical processing, Symmetries, Diffractive optics, Spectrum analysis.
Peer Review Information
Method: Single- anonymous; Screened for Plagiarism? Yes
Buy this Article in Print © Anita Publications. All rights reserve
References
- Born M, Wolf E, Principles of optics: electromagnetic theory of propagation, interference and diffraction of light, (Cambridge University Press., New York), 1999.
- Klein M V, Furtak T E, Optic, (John Wiley & Sons, New York), 1986.
- Bienenstock A, Ewald P P, Symmetry of Fourier Space, Acta Cryst, 15(1962)1253–1261.
- Rahman M, Applications of Fourier Transforms to Generalized Functions, (WIT Press., Boston), 2011.
- Sun R, Ding Y, Kuang J, Cheng J, Buczynski R, Liu W, Non-phase-shift Fourier single-pixel imaging with conjugate symmetry of the Fourier spectrum and ADMM-based image inpainting, Opt Lett, 50(2025)6169–6172.
- Mustafi S, Latychevskaia T, Fourier Transform Holography: A Lensless Imaging Technique, Its Principles and Applications, Photonics, 10(2023)153; /doi.org/10.3390/photonics10020153.
- Fienup J R, Fourier-optics imaging analysis with ABCD matrices: tutorial, J Opt Soc Am A, 41(2024)2361–2370.
- Two-Dimensional Fourier Transform – Harvey, http://fourier.eng.hmc.edu/e101/lectures/Image_Processing/node6.html.
- Urzúa A R, Ramos-Prieto I, Moya-Cessa H M, Integrated optical wave analyzer using the discrete fractional Fourier transform, J Opt Soc Am B, 41(2024)2358–2365.
- The University of Edinburgh, School of Physics and Astronomy, Symmetry of Fourier Transform, http://www2.ph.ed.ac.uk/~wjh/teaching/Fourier/documents/symmetry.pdf.
- Lehmer D H, Random number generation on the BRL high-speed computing machines, Math Rev, 15(1954)559.
- Van-Gelder A, Some new results in pseudo-random number generation, J ACM, 14 (1967)785–792.
- Payne W H, Rabung J R, Bogyo T P, Coding the Lehmer pseudo-random number generator, Commun ACM, 12(1969)85–86.
