Direct calculation of a three-dimensional diffracted field

J. Lin; X. C. Yuan; S. S. Kou; C. J.R. Sheppard; O. G. Rodríguez-Herrera; J. C. Dainty

doi:10.1364/OL.36.001341

Direct calculation of a three-dimensional diffracted field

J. Lin
, X. C. Yuan
, S. S. Kou
, C. J.R. Sheppard
, O. G. Rodríguez-Herrera
, J. C. Dainty

Lee Kong Chian School of Medicine/Nanyang Technological University
Harvard University
Nankai University
National University of Singapore
University of Galway

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

24 Citations (Scopus)

Abstract

We present an approach to calculating the complex amplitude of a three-dimensional (3D) diffracted light field in the paraxial approximation based on a 3D Fourier transform. Starting from the Huygens-Fresnel principle, the method is first developed for the computation of the light distribution around the focus of an apertured spherical wave. The method, with modification, is then extended to treat the 3D diffraction of an aperture with an arbitrary transmittance function.

Original language	English
Pages (from-to)	1341-1343
Number of pages	3
Journal	Optics Letters
Volume	36
Issue number	8
DOIs	https://doi.org/10.1364/OL.36.001341
Publication status	Published - 15 Apr 2011
Externally published	Yes

Access to Document

10.1364/OL.36.001341

Cite this

@article{151c1b3c4a044ac6a840770428f09197,

title = "Direct calculation of a three-dimensional diffracted field",

abstract = "We present an approach to calculating the complex amplitude of a three-dimensional (3D) diffracted light field in the paraxial approximation based on a 3D Fourier transform. Starting from the Huygens-Fresnel principle, the method is first developed for the computation of the light distribution around the focus of an apertured spherical wave. The method, with modification, is then extended to treat the 3D diffraction of an aperture with an arbitrary transmittance function.",

author = "J. Lin and Yuan, \{X. C.\} and Kou, \{S. S.\} and Sheppard, \{C. J.R.\} and Rodr{\'i}guez-Herrera, \{O. G.\} and Dainty, \{J. C.\}",

year = "2011",

month = apr,

day = "15",

doi = "10.1364/OL.36.001341",

language = "English",

volume = "36",

pages = "1341--1343",

journal = "Optics Letters",

issn = "0146-9592",

publisher = "Optica Publishing Group (formerly OSA)",

number = "8",

}

TY - JOUR

T1 - Direct calculation of a three-dimensional diffracted field

AU - Lin, J.

AU - Yuan, X. C.

AU - Kou, S. S.

AU - Sheppard, C. J.R.

AU - Rodríguez-Herrera, O. G.

AU - Dainty, J. C.

PY - 2011/4/15

Y1 - 2011/4/15

N2 - We present an approach to calculating the complex amplitude of a three-dimensional (3D) diffracted light field in the paraxial approximation based on a 3D Fourier transform. Starting from the Huygens-Fresnel principle, the method is first developed for the computation of the light distribution around the focus of an apertured spherical wave. The method, with modification, is then extended to treat the 3D diffraction of an aperture with an arbitrary transmittance function.

AB - We present an approach to calculating the complex amplitude of a three-dimensional (3D) diffracted light field in the paraxial approximation based on a 3D Fourier transform. Starting from the Huygens-Fresnel principle, the method is first developed for the computation of the light distribution around the focus of an apertured spherical wave. The method, with modification, is then extended to treat the 3D diffraction of an aperture with an arbitrary transmittance function.

UR - https://www.scopus.com/pages/publications/79956279079

U2 - 10.1364/OL.36.001341

DO - 10.1364/OL.36.001341

M3 - Article

SN - 0146-9592

VL - 36

SP - 1341

EP - 1343

JO - Optics Letters

JF - Optics Letters

IS - 8

ER -

Direct calculation of a three-dimensional diffracted field

Abstract

Access to Document

Other files and links

Fingerprint

Cite this