optics, a Gaussian beam is an idealized beam of electromagnetic radiation whose amplitude envelope in the transverse plane is given by a Gaussian function;...

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})}...

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...

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...

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...

Rayleigh length is particularly important when beams are modeled as Gaussian beams. For a Gaussian beam propagating in free space along the z ^ {\displaystyle...

function Blaster beam, a musical instrument Gaussian beam, a beam of electromagnetic radiation whose amplitude is given by a Gaussian function Beme (disambiguation)...

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...

modes within a Gaussian-like beam. In early 1970, Larry Marshall noted, 'Despite variations of intensity cross sections from gaussian shape, it is still...

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...

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...

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...

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...

assuming a Gaussian distribution instead. Radiant energy is also not uniformly distributed within the beam. Some devices produce Gaussian energy distributions...

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...

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...

evolution of Gaussian beams propagating through optical components described by the same transmission matrices. If we have a Gaussian beam of wavelength...

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...

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...

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...

produce a Gaussian beam energy distribution. A beam homogenizer will create an evenly distributed energy of the beam instead of the Gaussian shape. Unlike...

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 (...

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)...

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...

formed by refractive or diffractive optical elements from a Gaussian beam. Tophat beams are often used in industry, for example for laser drilling of...

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...

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...

the beam to a larger diameter. However, this measure of the curvature of wavefronts is only fully valid in geometrical optics, not in Gaussian beam optics...

monochromatic propagating electromagnetic wave, such as a plane wave or a Gaussian beam, if E is the complex amplitude of the electric field, then the time-averaged...

is also concerned with the physics of laser beam propagation, particularly the physics of Gaussian beams, with laser applications, and with associated...