Editor-in-Chief : V.K. Rastogi
| Asian Journal of Physics | Vol. 30 Nos 8 & 9 (2021) 1225-1234 |
Paraxial sharp-edge boundary diffraction wave theory: A review
Riccardo Borghi
Abstract
A review of the “genuinely” paraxial version of the classical Boundary Diffraction Wave theory I developed during the last five years to deal with sharp-edge apertures is outlined here. © Anita Publications. All rights reserved.
Keywords: Diffraction Theory, Paraxial Approximation, Boundary Diffraction Wave Theory, Mathematical Methods in Physics.
Peer Review Information
Method: Single- anonymous; Screened for Plagiarism? Yes
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References
1. Sheppard C J R, Hrynevych M, Diffraction by a circular aperture: a generalization of Fresnel diffraction theory, J Opt Soc Am A, 9(1992)274–281.
2. Young T, Lectures on natural philosophy, diffraction, Philos Trans R Soc London, 92(1802)12–48.
3. Maggi G A, Sulla propagazione libera e perturbata delle onde luminose in un mezzo isotropo, Ann di Mat IIa, 16 (1888)21–48.
4. Rubinowicz A, Thomas Young and the theory of diffraction, Nature, 180(1957)160–162.
5. (a) Miyamoto K, Wolf E, Generalization of the Maggi-Rubinowicz theory of the boundary-diffraction wave – Part I, J Opt Soc Am, 52(1962)615–625.
(b) Miyamoto K, Wolf E, Generalization of the Maggi-Rubinowicz theory of the boundary-diffraction wave – Part II, J Opt Soc Am, 52(1962)626–637.
6. Hannay J, Fresnel diffraction as an aperture edge integral, J Mod Opt, 47(2000)121–124.
7. Borghi R, Uniform asymptotics of paraxial boundary diffraction waves, J Opt Soc Am A, 32(2015)685–693.
8. Borghi R, Catastrophe optics of sharp-edge diffraction, Opt Lett, 41(2016)3114-3117.
9. Berry M V, Upstill C, Catastrophe optics: morphologies of caustics and their diffraction patterns, Progress in Optics XVIII (Elsevier), 1980, pp 257–46.
10. Nye J F, Natural Focusing and Fine Structure of Light, (IOP Publishing), 1999.
11. Weisman D, Fu S, Goncalves M, Shemer L, Zhou J, Schleich W P, Arie A, Diffractive focusing of waves in time and in space, Phys Rev Lett, 118(2017)154301; doi:10.1103/PhysRevLett.118.154301
12. Borghi R, Heart diffraction, Opt Lett, 42(2017)2070–2073.
13. Coulson J, Becknell G G, Reciprocal diffraction relations between circular and elliptical plates, Phys Rev, 20(1922)594; doi.org/10.1103/PhysRev.20.594.
14. Becknell G G, Coulson J, An extension of the principle of the diffraction evolute, and some of its structural detail, Phys Rev, 20(1922)607; doi.org/10.1103/PhysRev.20.607
15. Wang Y, Xie L, Ye J, Sun W, Wang X, Feng S, Han P, Kan Q, Zhang Y, Tailoring axial intensity of laser beams with a heart-shaped hole, Opt Lett, 42(2017)4921-4924.
16. Borghi R, Tailoring axial intensity of laser beams with a heart-shaped hole, by Wang et al: comment, Opt Lett, 43(2018)3240–3240.
17. Borghi R, Sharp-edge diffraction under Gaussian illumination: a paraxial revisitation of Miyamoto-Wolf’s theory, J Opt Soc Am A, 36(2019)1048–1057.
18. Borghi R, Exact paraxial diffraction theory for polygonal apertures under Gaussian illumination, OSA Continuum, 3(2020)214–223.
19. Owen D B, Tables for Computing Bivariate Normal Probabilities, Ann Math Stat, 27(1956)1075–1090.
20. Huang J G, Christian J M, McDonald G S, Fresnel diffraction and fractal patterns from polygonal apertures, J Opt Soc Am A, 23(2006)2768–2774.
21. Naraga J, Hermosa H, Diffraction of polygonal slits using catastrophe optics, J Appl Phys, 124(2018)034902; doi.org/10.1063/1.5029292.
22. Worku N G, Gross H, Propagation of truncated Gaussian beams and their application in modeling sharp-edge diffraction, J Opt Soc Am A, 36(2019)859–868.