Journal ArticleDOI
Approximate description for Bessel, Bessel–Gauss, and Gaussian beams with finite aperture
Desheng Ding,Xiaojun Liu +1 more
TLDR
In this article, an approximate analysis for the propagation of Bessel, Bessel-Gauss, and Gaussian beams with a finite aperture is derived, based on the fact that the circ function can be expanded into an approximate sum of complex Gaussian functions, so that these three beams are typically expressed as a combination of a set of infinite-aperture Bessel Gauss beams.Abstract:
An approximate analysis is derived for the propagation of Bessel, Bessel–Gauss, and Gaussian beams with a finite aperture. This treatment is based on the fact that the circ function can be expanded into an approximate sum of complex Gaussian functions, so that these three beams are typically expressed as a combination of a set of infinite-aperture Bessel–Gauss beams. Correspondingly, the evaluation of the diffracted field distribution of the beams is reduced to the summation of Bessel–Gauss functions. From analytical results, the present approach provides a good description of the diffracted beams in the region far (greater than a factor of the Fresnel distance) from the aperture. A possible extension of this method to other apertured beams is also discussed.read more
Citations
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Journal ArticleDOI
Efficiency of capturing a phase image using cone-beam x-ray Talbot interferometry.
TL;DR: The efficiency of x-ray Talbot interferometry (XTI), a technique based on the Talbot effect for measuring a wavefront gradient, is assessed in terms of how quickly it can capture a high-quality phase image with a large signal-to-noise ratio for a given incident photon number.
Journal ArticleDOI
Propagation of flat-topped multi-Gaussian laser beams.
TL;DR: The multi-Gaussian beam shape is proposed as a model for aperture functions and laser beam profiles that have a nearly flat top but whose sides decrease continuously.
Journal ArticleDOI
Propagation of partially coherent twisted anisotropic Gaussian Schell-model beams through an apertured astigmatic optical system
Yangjian Cai,Li Hu +1 more
TL;DR: By expanding the hard-aperture function into a finite sum of complex Gaussian functions, an approximate analytical formula is derived for a partially coherent twisted anisotropic Gaussian Schell-model (AGSM) beam propagating through an apertured paraxial general astigmatic (GA) optical system by use of a tensor method.
Journal ArticleDOI
Propagation of hollow Gaussian beams through apertured paraxial optical systems.
Yangjian Cai,Sailing He +1 more
TL;DR: An approximate analytical formula for a hollow Gaussian beam propagating through an apertured paraxial stigmatic (ST) ABCD optical system is derived and by using a tensor method the results provide a convenient way for studying the propagation and transformation of a hollowGaussian beam and a hollow elliptical Gaussianbeam through anApertured general optical system.
Journal ArticleDOI
Propagation of a hollow Gaussian beam through a paraxial misaligned optical system
Yangjian Cai,Lei Zhang +1 more
TL;DR: Based on the generalized diffraction integral formula for treating the propagation of a laser beam through a paraxial misaligned optical system in the cylindrical coordinate system, this paper obtained an analytical formula for a hollow Gaussian beam passing through a Paraxial Misaligned Optical System (POMOS).
References
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Journal ArticleDOI
Diffraction-free beams.
TL;DR: The first experimental investigation of nondiffracting beams, with beam spots as small as a few wavelengths, can exist and propagate in free space, is reported.
Journal ArticleDOI
Exact solutions for nondiffracting beams. I. The scalar theory
TL;DR: In this paper, exact nonsingular solutions of the scalar-wave equation for beams that are non-diffracting were presented, which means that the intensity pattern in a transverse plane is unaltered by propagating in free space.
Journal ArticleDOI
Bessel-Gauss beams
TL;DR: In this paper, a new type of solution of the paraxial wave equation is presented, which encompasses as limiting cases both the diffraction-free beam and the gaussian beam.
Journal ArticleDOI
Realization of general nondiffracting beams with computer-generated holograms
TL;DR: This work shows by the method of stationary phase that any of these wave fields can be realized approximately with a laser and a single computer-generated hologram, and demonstrates experimentally the formation of arbitrary-order Bessel beams and rotationally nonsymmetric beams.