Volume 17, Issue 2 (Summer-Fall 2023)                   IJOP 2023, 17(2): 195-204 | Back to browse issues page


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Khazaei A M, Afsharipour F, Mashayekhi H R, Yeganeh M. Theoretical and Experimental Investigation of Plane Wave Diffraction from an Amplitude Modified Fresnel Zone Plate. IJOP 2023; 17 (2) :195-204
URL: http://ijop.ir/article-1-569-en.html
1- Department of Physics, University of Lorestan, Khorramabad, Iran
2- Department of Interdisciplinary Physics and Technology, Faculty of Advanced science and technology, Shahid Bahonar University of Kerman, Kerman, Iran
3- Department of Physics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran
Abstract:   (719 Views)
A new class of gratings is produced by combining the radial grating (RG) with the Fresnel zone plate (FZP). Besides having an azimuthal periodicity, these gratings focus the incident beam at a specific distance. This paper investigated the diffraction from modified Fresnel zone gratings (MFZGs) theoretically and experimentally. Our approach was to solve the Fresnel-Kirchhoff integral in the cylindrical coordinate system for a plane beam on an MFZG. The experimental results of diffraction patterns of a laser beam from the amplitude type of MFZGs confirmed the theoretical predictions well. The near-field diffraction patterns agreed with the patterns obtained from theoretical calculations.
Full-Text [PDF 985 kb]   (255 Downloads)    
Type of Study: Research | Subject: Fourier Optics, Holography, Imaging systems
Received: 2024/07/14 | Revised: 2024/10/12 | Accepted: 2024/09/10 | Published: 2024/09/12

References
1. S.A. Akhmanov and S.Y. Nikitin, Physical Optics, Oxford University Press, pp. 3-20, 1997. [DOI:10.1093/oso/9780198517955.003.0001]
2. J.W. Goodman, Introduction to Fourier optics, 3rd ed., Roberts and Company publishers, pp. 173-216, 2005.
3. J. Alonso and E. Bernabeu, "Spatial evolution of Gaussian beams diffracted by radial gratings," Opt. Commun., Vol. 98, pp. 323 330, 1993. [DOI:10.1016/0030-4018(93)90203-H]
4. S. Rasouli and D. Hebri, "Contrast enhanced quarter Talbot images," J. Opt. Soc. Am. A, Vol. 35, pp. 2145-2156, Nov. 2017. [DOI:10.1364/JOSAA.34.002145] [PMID]
5. S. Rasouli, F. Sakha, and M. Yeganeh, "Infinite-mode double-grating interferometer for investigating thermal-lens-acting fluid dynamics," Meas. Sci. Technol., Vol. 29, pp. 085201(1-11), 2018. [DOI:10.1088/1361-6501/aacab3]
6. S. Rasouli, M. Dashti, and A.N. Ramaprakash, "An adjustable, high sensitivity, wide dynamic range two channel wave-front sensor based on moiré deflectometry," Opt. Express, Vol. 18, pp. 23906-23915, 2010. [DOI:10.1364/OE.18.023906] [PMID]
7. M.C. Hettrick and S. Bowyer, "Variable line-space gratings: new designs for use in grazing incidence spectrometers," Appl. Opt., Vol. 22, pp. 3921-3924, 1983. [DOI:10.1364/AO.22.003921] [PMID]
8. S. Rasouli, A.M. Khazaei, and D. Hebri, "Talbot carpet at the transverse plane produced in the diffraction of plane wave from amplitude radial gratings," J. Opt. Soc. Am. A, Vol. 35(55), pp. 55-64, 2018. [DOI:10.1364/JOSAA.35.000055] [PMID]
9. V. Moreno, J.F. Román, and J.R. Salgueiro, "High efficiency diffractive lenses: deduction of kinoform profile," Am. J. Phys., Vol. 65, pp. 556-562, 1997. [DOI:10.1119/1.18587]
10. M. Mihailescu, A. Preda, D. Cojoc, E. Scarlat, and L. Preda, "Diffraction patterns from a phyllotaxis-type arrangement," Opt. Lasers Eng., Vol. 46(11), pp. 802-809, 2008. [DOI:10.1016/j.optlaseng.2008.06.004]
11. A.M. Yao and M.J. Padgett, "Orbital angular momentum: origins, behavior and applications," Adv. Opt. Photon., Vol. 3, pp. 161-204, 2011. [DOI:10.1364/AOP.3.000161]
12. D.L. Andrews and M. Babiker, The angular momentum of light, Cambridge University Press, pp. 51-70, 2012. [DOI:10.1017/CBO9780511795213]
13. L. Marrucci, "The q-plate and its future," J. Nanophoton., vol. 7, pp. 078598-078598, 2013. [DOI:10.1117/1.JNP.7.078598]
14. S. Rasouli, S. Hamzeloui, and D. Hebri, "Colorful radial Talbot carpet at the transverse plane," Opt. Express, Vol. 27, pp. 17435 17448, 2019. [DOI:10.1364/OE.27.017435] [PMID]
15. S. Rasouli and A.M. Khazaei, "An azimuthally-modified linear phase grating: generation of varied radial carpet beams over different diffraction orders with controlled intensity sharing among the generated beams," Sci. Rep., Vol. 9, pp. 12472, 2019. [DOI:10.1038/s41598-019-48757-2] [PMID] []
16. G.B. Arfken and H.J. Weber, Mathematical Methods for Physicists, 6th ed., Academic Press, pp. 687, 2005.
17. A. Jeffrey and D. Zwillinger, "Table of integrals, series, and products", 7th ed., Elsevier Inc., pp. 739-739, 2007.

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