optics, a Gaussian beam is an idealized beam of electromagnetic radiation whose amplitude envelope in the transverse plane is given by a Gaussian function;...
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In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}...
30 KB (4,946 words) - 19:43, 16 June 2024
Rayleigh length is particularly important when beams are modeled as Gaussian beams. For a Gaussian beam propagating in free space along the z ^ {\displaystyle...
4 KB (492 words) - 16:00, 7 February 2024
M squared (section Multi-mode beam propagation)
from an ideal Gaussian beam. It is calculated from the ratio of the beam parameter product (BPP) of the beam to that of a Gaussian beam with the same...
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Airy disk (section Comparison to Gaussian beam focus)
Gaussian beam diameter which maximizes the intensity in the far field. This occurs when the 1 / e 2 {\displaystyle 1/e^{2}} diameter of the Gaussian is...
30 KB (4,608 words) - 01:21, 23 July 2024
modes within a Gaussian-like beam. In early 1970, Larry Marshall noted, 'Despite variations of intensity cross sections from gaussian shape, it is still...
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symmetry, the transverse mode patterns are described by a combination of a Gaussian beam profile with a Laguerre polynomial. The modes are denoted TEMpl where...
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same minimum beam diameter. The divergence of good-quality laser beams is modeled using the mathematics of Gaussian beams. Gaussian laser beams are said to...
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narrowest point (the beam waist). The BPP quantifies the quality of a laser beam, and how well it can be focused to a small spot. A Gaussian beam has the lowest...
6 KB (906 words) - 13:51, 10 January 2024
complex beam parameter is a complex number that specifies the properties of a Gaussian beam at a particular point z along the axis of the beam. It is usually...
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inherent width of the beam. For multimodal distributions, the D4σ width is a better choice. For an ideal single-mode Gaussian beam, the D4σ, D86 and 1/e2...
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exciting Gaussian beam also has a (homogeneous) 2D Gaussian profile if the nonlinear medium being excited is homogeneous (A). However, if the exciting beam is...
52 KB (6,841 words) - 01:18, 9 July 2024
Approximations to Bessel beams are made in practice either by focusing a Gaussian beam with an axicon lens to generate a Bessel–Gauss beam, by using axisymmetric...
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light. The basic, or fundamental transverse mode of a resonator is a Gaussian beam. The most common types of optical cavities consist of two facing plane...
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function Blaster beam, a musical instrument Gaussian beam, a beam of electromagnetic radiation whose amplitude is given by a Gaussian function Beme (disambiguation)...
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Fresnel number (section The Gaussian pilot beam)
computers is too small to solve the problem. Another criterion called Gaussian pilot beam allowing to define far and near field conditions, consists to measure...
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Ray transfer matrix analysis (section Gaussian beams)
evolution of Gaussian beams propagating through optical components described by the same transmission matrices. If we have a Gaussian beam of wavelength...
27 KB (3,630 words) - 22:39, 14 August 2024
assuming a Gaussian distribution instead. Radiant energy is also not uniformly distributed within the beam. Some devices produce Gaussian energy distributions...
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Optical vortex (redirect from Vortex laser beam)
hypergeometric-Gaussian beam have an orbital angular momentum of mħ. The integer m also gives the strength of the vortex at the beam's centre. Spin angular...
24 KB (2,791 words) - 10:23, 2 August 2024
Optical tweezers (redirect from Single-beam gradient force trap)
Gaussian beams. However a number of other beam types have been used to trap particles, including high order laser beams i.e. Hermite-Gaussian beams (TEMxy)...
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produce a Gaussian beam energy distribution. A beam homogenizer will create an evenly distributed energy of the beam instead of the Gaussian shape. Unlike...
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all depths. Thus this form of the broad-beam response is more computationally advantageous. For a Gaussian beam, the intensity profile is given by S (...
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reference beams are Gaussian beams or spherical wave beams (beams that radiate from a single point) which are fairly easy to reproduce. The other beam used...
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of the beam with distance. Beam profile: A beam profile is the 2D intensity plot of a beam at a given location along the beam path. A Gaussian or flat-top...
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is also concerned with the physics of laser beam propagation, particularly the physics of Gaussian beams, with laser applications, and with associated...
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List of things named after Carl Friedrich Gauss (redirect from Gaussian)
Gaussian noise Gaussian beam Gaussian blur, a technique in image processing Gaussian fixed point Gaussian random field Gaussian free field Gaussian integral...
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allows a wide variety of beam patterns to be generated. It can be used to turn a Gaussian beam into a non-diffractive Bessel-like beam. Axicons were first...
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of the beam. It is very common for the beam to have a Gaussian profile. Laser physicists typically choose to make θ the divergence of the beam: the far-field...
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Diffraction (section Propagation of a laser beam)
resulting beam has a larger diameter, and hence a lower divergence. Divergence of a laser beam may be reduced below the diffraction of a Gaussian beam or even...
49 KB (6,329 words) - 23:44, 21 July 2024
deconvolution. For the case of laser beams, the PSF can be mathematically modeled using the concepts of Gaussian beams. For instance, deconvolution of the...
24 KB (3,265 words) - 14:04, 25 June 2024