Paraxial propagation of a partially coherent flattened Gaussian beam through apertured ABCD optical systems

Cai, Yangjian; Lü, Xiang; Eyyuboğlu, Halil T.; Baykal, Yahya

doi:10.1016/j.optcom.2008.02.015

Cited by 19 publications

(2 citation statements)

References 53 publications

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“…This was found to be a good approach to describe the beam field throughout the aperture [20]. In recent years the complex Gaussian functions expansion method proposed by Wen and Breazeale has been widely used to study propagation properties of truncated laser beams [20][21][22][23][24][25]. In this paper, the divergence problem of the M 2 factor of truncated laser beams is avoided by using the complex Gaussian functions expansion method; the analytical expression for the M 2 factor of truncated Gaussian beams is derived.…”

Section: Introductionmentioning

confidence: 99%

Complex Gaussian functions expansion method applied to truncated Gaussian beams

2011

Journal of Modern Optics

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An analytical expression for the beam propagation factor (M 2 factor) of truncated Gaussian beams was derived by using the complex Gaussian functions expansion method. The reasonability of the approximation of complex Gaussian functions expansion method is studied, and a comparison of this method with the generalised truncated second-order moments method and the asymptotic analysis method is also made. In general, an easy analytical expression for the M 2 factor of truncated laser beams can be derived by using the complex Gaussian functions expansion method. The M 2 factor obtained by using the complex Gaussian functions expansion method is more consistent with that in practice than that obtained by using two other methods. The analytical results obtained by using the complex Gaussian functions expansion method can be reduced to that for the non-truncated case when the truncation parameter is sufficiently large. Therefore, the complex Gaussian functions expansion method is a suitable approximation method for studying the M 2 factor of truncated laser beams.

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Section: Introductionmentioning

confidence: 99%

Complex Gaussian functions expansion method applied to truncated Gaussian beams

2011

Journal of Modern Optics

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“…Cai et al proposed a elliptical flat-topped beam to describe an elliptically symmetric flat-topped beam by expressing its electric field as a finite sum of astigmatic, elliptical Gaussian beams [6] . However, at present, most studies on flattopped beams have been confined to circular, flattopped beams, while research on square, flat-topped, spatial-profile beams has been scarce [7][8][9][10][11][12][13][14][15][16][17] . Partially coherent, square, flat-topped pulsed beams are shown to be practical models for high-power laser drivers since most light beams can be described with the use of partially coherent beams [18] .…”

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confidence: 99%

Focusing of aberrated, partially coherent, square, flat-topped pulsed beams by a thin lens

Zhang¹,

Lü²,

Zhou³

et al. 2014

中国光学快报

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Flat-topped beam theoretical model and unified theory of coherence and polarization of light are used as the bases in examining aberrated, partially coherent, electromagnetic, square, flat-topped pulsed beams focused by a thin lens. This study demonstrates that Astigmatism is not necessarily undesirable in certain circumstances, and a certain amount of astigmatism can be guaranteed a similar spatial envelope of the beams in the geometric focal plane as the source of aberrated, partially coherent, electromagnetic, square, flat-topped pulsed beams. This feature may be useful in determining the fidelity of high-power laser-beam transmission areas.

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Generalized tensor ABCD law for an elliptical Gaussian beam passing through an astigmatic optical system in turbulent atmosphere

et al. 2008

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The propagation of an elliptical Gaussian beam (EGB) through an astigmatic ABCD optical system in a turbulent atmosphere is investigated. An analytical formula for the average intensity of an EGB and a generalized tensor ABCD law for the generalized complex curvature tensor are derived. As an application example, we derived an analytical formula for the average intensity of an elliptical flat-topped beam propagating through an astigmatic ABCD optical system in a turbulent atmosphere. As a numerical example, the focusing properties of an EGB focused by a thin lens in a turbulent atmosphere are studied. It is found that the focused beam at the focal plane becomes a circular Gaussian beam when the atmospheric turbulence is strong enough, and the beam width of the circular Gaussian beam is determined by atmospheric turbulence strength, focal length of the thin lens, and wavelength of the initial beam but is independent of the initial beam widths (i.e., initial intensity distribution)

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Paraxial propagation of a partially coherent flattened Gaussian beam through apertured ABCD optical systems

Cited by 19 publications

References 53 publications

Complex Gaussian functions expansion method applied to truncated Gaussian beams

Complex Gaussian functions expansion method applied to truncated Gaussian beams

Focusing of aberrated, partially coherent, square, flat-topped pulsed beams by a thin lens

Generalized tensor ABCD law for an elliptical Gaussian beam passing through an astigmatic optical system in turbulent atmosphere

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