Fraunhofer approximation of Fresnel integrals

被引:0
|
作者
Dupraz, K. [1 ]
Dupuis, G. [2 ]
Martens, A. [1 ]
Rax, J-M [1 ]
Zomer, F. [1 ]
机构
[1] Univ Paris Saclay, CNRS, IJCLab, IN2P3, F-91405 Orsay, France
[2] Univ Paris Saclay, CNRS, ISMO, F-91405 Orsay, France
关键词
diffraction theory; Fresnel integral; Fraunhofer approximation; OPTICS;
D O I
10.1088/1361-6404/ad1530
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
A method to derive the Fraunhofer diffraction integral by making use of the theory of distributions is presented. With respect to standard textbooks, the pedagogical benefit of this method is that it uniquely uses the far-field approximation of the Fresnel diffraction integral. An operator representation of Fresnel diffraction is also derived.
引用
收藏
页数:12
相关论文
共 50 条
  • [1] Approximation of Fresnel Integrals with Applications to Diffraction Problems
    Sandoval-Hernandez, M.
    Vazquez-Leal, H.
    Hernandez-Martinez, L.
    Filobello-Nino, U. A.
    Jimenez-Fernandez, V. M.
    Herrera-May, A. L.
    Castaneda-Sheissa, R.
    Ambrosio-Lazaro, R. C.
    Diaz-Arango, G.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [2] Fraunhofer and Fresnel Distances
    Selvan, Krishnasamy T.
    Janaswamy, Ramakrishna
    IEEE ANTENNAS AND PROPAGATION MAGAZINE, 2017, 59 (04) : 12 - 15
  • [3] ON THE FRESNEL INTEGRALS
    FLANDERS, H
    AMERICAN MATHEMATICAL MONTHLY, 1982, 89 (04): : 264 - 266
  • [4] FRESNEL INTEGRALS
    KLEIN, AG
    MARTIN, LJ
    AMERICAN JOURNAL OF PHYSICS, 1977, 45 (03) : 298 - 299
  • [5] FRESNEL INTEGRALS
    OLDS, CD
    AMERICAN MATHEMATICAL MONTHLY, 1968, 75 (03): : 285 - &
  • [6] FRESNEL AND FRAUNHOFER DIFFRACTION IN NUCLEAR PROCESSES
    FRAHN, WE
    NUCLEAR PHYSICS, 1966, 75 (03): : 577 - +
  • [7] Numerical modeling of Fraunhofer diffraction in the Huygens-Fresnel approximation and forward scattering indicatrix of aircrafts
    G. S. Sharygin
    V. A. Gromov
    M. V. Krutikov
    Russian Physics Journal, 2012, 55 : 264 - 270
  • [8] Numerical modeling of Fraunhofer diffraction in the Huygens-Fresnel approximation and forward scattering indicatrix of aircrafts
    Sharygin, G. S.
    Gromov, V. A.
    Krutikov, M. V.
    RUSSIAN PHYSICS JOURNAL, 2012, 55 (03) : 264 - 270
  • [9] FRAUNHOFER AND FRESNEL DIFFRACTION IN ELECTRON OPTICS
    YANAGAWA, S
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1966, 21 (07) : 1458 - &
  • [10] Comparison of the vectorial diffraction theory and Fraunhofer approximation method on diffractive images of Fresnel zone plates
    Pei, Ting-Hang
    Tsai, Kuen-Yu
    Li, Jia-Han
    OPTICAL AND QUANTUM ELECTRONICS, 2015, 47 (07) : 1557 - 1567