Propagation of off-axial Hermite–cosine–Gaussian beams through an apertured and misaligned ABCD optical system

By introducing the hard aperture function into a finite sum of complex Gaussian functions, an approximate analytical expression for the one-dimensional off-axial Hermite–cosine–Gaussian beams passing through an apertured and misaligned paraxially ABCD optical system has been derived. As special case...

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Bibliographic Details
Published in:Optics communications 2003-08, Vol.224 (1), p.5-12
Main Authors: Zhao, Daomu, Mao, Haidan, Zhang, Weichun, Wang, Shaomin
Format: Article
Language:English
Subjects:
Diffraction integral
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Hermite–cosine–Gaussian beams
Matrix optics
Misaligned optical systems
Optics
Physics
Wave optics
Wave propagation, transmission and absorption
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Summary:By introducing the hard aperture function into a finite sum of complex Gaussian functions, an approximate analytical expression for the one-dimensional off-axial Hermite–cosine–Gaussian beams passing through an apertured and misaligned paraxially ABCD optical system has been derived. As special cases, the corresponding closed-forms for the off-axial or non-off-axial Hermite–cosine–Gaussian beams passing through apertured or unapertured and misaligned or aligned paraxially ABCD optical systems have also been given. The results provide more convenient for studying their propagation and transformation than the usual way by using diffraction integral directly, which can be straightforward to the two-dimensional case. Some numerical examples are also illustrated.
ISSN:0030-4018
1873-0310
DOI:10.1016/S0030-4018(03)01729-2