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Light Beams with Flat-Topped Profiles

TLDR
This proposal leads to the introduction of a set of light beams with flat-topped profiles that can be expressed as a finite series of lowest-order Gaussian modes (TEM(00)) with different parameters.
Abstract
A necessary condition for generating optical beams with a nearly uniform profile at a certain transverse plane is proposed. This proposal leads to the introduction of a set of light beams with flat-topped profiles. This set of beams can be expressed as a finite series of lowest-order Gaussian modes TEM00 with different parameters. The main features of this set of beams are investigated and compared with those predicted by existing models of flattened Gaussian beams.

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Citations
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Journal ArticleDOI

Beam propagation factor of partially coherent flat-topped beams in a turbulent atmosphere.

TL;DR: It can be shown that the M(2)-factor of PCFT beams in turbulence depends on the beam order, degree of global coherence of the source, waist width, wavelength, spatial power spectrum of the refractive index fluctuations, and propagation distance.
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Scintillation index of flat-topped Gaussian beams

TL;DR: The results show that for flat-topped Gaussian beams scintillation is larger than that of the single Gaussian beam scintillations when the source sizes are much smaller than the Fresnel zone.
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Flat topped beams and their characteristics in turbulent media.

TL;DR: The source and receiver plane characteristics of flat topped (FT) beam propagating in turbulent atmosphere are investigated and Kurtosis parameter and beam size variation along the propagation axis are formulated.
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Propagation of various flat-topped beams in a turbulent atmosphere

TL;DR: In this article, the average intensity of flat-topped beams propagating in a turbulent atmosphere is derived in a tensor form, and the formulae derived can be easily reduced to those for flat-top beams in free space.
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Scintillations of partially coherent multiple Gaussian beams in turbulence.

TL;DR: For an incidence composed of partially coherent multiple Gaussian beams, Huygens-Fresnel principle-based on-axis scintillation index is formulated in a weakly turbulent homogeneous horizontal atmospheric path and scintillations increase steadily as the Rytov plane wave scintilling index increases.
References
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Journal ArticleDOI

Flattened gaussian beams

TL;DR: In this paper, a simple propagation law is found for light beams of various orders and their field distribution across the waist plane is similar to that produced by an ordinary gaussian beam except that the central region is flattened.
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Propagation of axially symmetric flattened Gaussian beams

TL;DR: In this paper, the main features of the field distribution pertaining to a flattened Gaussian beam throughout the space were investigated and experimental results relating to the laboratory production of this type of beam were presented.
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Solid-state laser unstable resonators with tapered reflectivity mirrors: the super-Gaussian approach

TL;DR: In this article, a general procedure for treating solid-state laser unstable resonators with tapered reflectivity mirrors within the framework of geometrical optics is presented, where a suitable choice of the analytical form of the reflectivity profile makes possible the derivation of simple design equations for the resonator parameters.
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Propagation of super-Gaussian field distributions

TL;DR: In this article, the near-and far-field propagation of initially super-Gaussian field distributions is discussed and the beam profile is shown to undergo distortions of a magnitude which increases with the superGaussian order, leading to a significant increase of the on-axis intensity in the near field.
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Correspondence between super-Gaussian and flattened Gaussian beams

TL;DR: In this article, the relationship connecting the parameters of a super-Gaussian with those of a flattened Gaussian beam is determined by minimizing the mean squared difference of the two profiles.
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