Series representation of the Gaussian beam far-field diffracted by annular aperture

Accurate, analytical series expressions for the far-field diffraction of a Gaussian beam normally incident on a circular and central obscured aperture are derived with the help of the integration of parts method. With this expression, the far-field intensity distribution pattern can be obtained and...

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Bibliographic Details
Published inOptik (Stuttgart) Vol. 119; no. 16; pp. 766 - 768
Main Authors Sun, Jianfeng, Liu, Liren, Yun, Maojin, Wan, Lingyu
Format Journal Article
LanguageEnglish
Published Reutlingen Elsevier GmbH 01.12.2008
Elsevier
Subjects
Apertures
Apertures, collimators
Diffraction and scattering
Diffraction theory
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Optical elements, devices, and systems
Optics
Physics
Wave optics
Apertures
Diffraction theory
Electromagnetic wave diffraction
Theoretical study
Far field
Numerical method
Aperture
Gaussian beam
Field distribution
Intensity distribution
Annular aperture
Analytical solution
Normal incidence
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Summary:Accurate, analytical series expressions for the far-field diffraction of a Gaussian beam normally incident on a circular and central obscured aperture are derived with the help of the integration of parts method. With this expression, the far-field intensity distribution pattern can be obtained and the divergence angle is deduced too. Using the first five items of the series, the accuracy can satisfy most laser application fields. Compared with the conventional numerical integral method, the series representation is very convenient for understanding the physical meanings.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2007.06.003