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Monochrome light beam whose amplitude envelope is a Gaussian function
optics, a Gaussian beam is an idealized beam of electromagnetic radiation whose amplitude envelope in the transverse plane is given by a Gaussian function;
Gaussian_beam
Width of an electromagnetic beam
for some beam profiles, for example, the Airy diffraction pattern of a uniformly-lit aperture, but is undefined for an ideal Gaussian beam. The half-power
Beam_diameter
Diffraction pattern in optics
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
Airy_disk
Measure of laser beam quality
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
M_squared
How much a beam expands as it travels
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
Beam_divergence
Specifies the properties of a Gaussian beam
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
Complex_beam_parameter
Nonlinear optical process
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
Second-harmonic_generation
Concept in laser optics
Rayleigh length is particularly important when beams are modeled as Gaussian beams. For a Gaussian beam propagating in free space along the z ^ {\displaystyle
Rayleigh_length
Mathematical 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_function
Non-diffractive wave
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
Bessel_beam
Arrangement of mirrors
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
Optical_cavity
Aspect of laser science
modes within a Gaussian-like beam. In early 1970, Larry Marshall noted, 'Despite variations of intensity cross sections from gaussian shape, it is still
Laser_beam_quality
Phemomenon of physical optics
acquired by a Gaussian beam around its beam waist (focus). It is named after Louis Georges Gouy. At distance z from the waist of a Gaussian beam, the Gouy
Gouy_phase_shift
Device to create a more uniform laser beam
produce a Gaussian beam energy distribution. A beam homogenizer will create an evenly distributed energy of the beam instead of the Gaussian shape. Unlike
Beam_homogenizer
Scientific instruments
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)
Optical_tweezers
Ray tracing technique
evolution of Gaussian beams propagating through optical components described by the same transmission matrices. If we have a Gaussian beam of wavelength
Ray_transfer_matrix_analysis
Measure of laser beam quality
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
Beam_parameter_product
Optical phenomenon
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
Optical_vortex
Electromagnetic wave with oscillations perpendicular to the direction of travel
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
Transverse_mode
Optical property
approximations are often used for efficiency. Another criterion called Gaussian pilot beam allowing to define far- and near-field conditions consists in measuring
Fresnel_number
Welding technique
assuming a Gaussian distribution instead. Radiant energy is also not uniformly distributed within the beam. Some devices produce Gaussian energy distributions
Laser_beam_welding
Device that emits light via optical amplification
photons in a laser beam is described by Poisson statistics. Many lasers produce a beam that can be approximated as a Gaussian beam; such beams have the minimum
Laser
Special lens with a conical surface
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
Axicon
Lithographic technique that uses a scanning beam of electrons
three techniques are Gaussian beam (or grey-beam), variable shaped beam (including character projection), and multibeam. Electron-beam lithography systems
Electron-beam_lithography
Measurement device
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
Laser_beam_profiler
formed by refractive or diffractive optical elements from a Gaussian beam. Tophat beams are often used in industry, for example for laser drilling of
Tophat_beam
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 (
Convolution for optical broad-beam responses in scattering media
Convolution_for_optical_broad-beam_responses_in_scattering_media
Angle between converging or diverging light rays
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
Vergence_(optics)
Small angle approximation in geometric optics
equation from the homogeneous Maxwell's equations and, consequently, Gaussian beam optics. Greivenkamp, John E. (2004). Field Guide to Geometrical Optics
Paraxial_approximation
Optical devices treating collimated light
Beam expanders are optical devices that take a collimated beam of light and expand its width (or, used in reverse, reduce its width). In laser physics
Beam_expander
convenient and compact way to represent visibility. In underwater acoustics, Gaussian beam tracing (specifically the BELLHOP model) is used to predict sound pressure
Beam_tracing
Topics referred to by the same term
function Blaster beam, a musical instrument Gaussian beam, a beam of electromagnetic radiation whose amplitude is given by a Gaussian function Beme (disambiguation)
Beam
Response if an optical system to a point source of light
deconvolution. For the case of laser beams, the PSF can be mathematically modeled using the concepts of Gaussian beams. For instance, deconvolution of the
Point_spread_function
Optical device
all fine structure from the beam, producing a smooth transverse intensity profile, which may be almost a perfect gaussian beam. With good optics and a very
Spatial_filter
Diffractionless propagation of a light beam
compensates for the phase shift because of Gaussian beam divergence. Phase change due to diffraction for a Gaussian beam after traversing a length of Δ z {\displaystyle
Filament_propagation
Characteristic of an optical system
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
Numerical_aperture
Type of ultraviolet laser important in chip manufacturing and eye surgery
Institute in Moscow, using liquid xenon dimer (Xe2) excited by an electron beam. Spurred by this report, H.A. Koehler et al. presented a better substantiation
Excimer_laser
Subfield of optics
become significant. It commonly describes the propagation of Gaussian beams where the beam width is comparable to the wavelength. This is in contrast to
Quasioptics
Technology that uses a laser to cut materials
optics and CNC (computer numerical control) are used to direct the laser beam to the material. A commercial laser for cutting materials uses a motion control
Laser_cutting
Spacecraft communication system using lasers
transmitted beam-width is inversely proportional to the frequency used, so the shorter the wavelength used, the narrower and more focused a beam can be made
Deep Space Optical Communications
Deep_Space_Optical_Communications
Measure of the "spread" of light in an optical system
the light is in area and angle. It corresponds to the beam parameter product (BPP) in Gaussian beam optics. Other names for etendue include acceptance,
Etendue
Physical quantity carried in photons
polarization. OAM can also be generated by converting a Hermite-Gaussian beam into a Laguerre-Gaussian one by using an astigmatic system with two well-aligned
Angular_momentum_of_light
Branch of physics that studies light
the rate at which a laser beam expands with distance, and the minimum size to which the beam can be focused. Gaussian beam propagation thus bridges the
Optics
Optical system software
to analyze lens systems but also for stray light analysis. It uses a Gaussian beam approximation for analysis of coherent sources. Optical engineering
Advanced Systems Analysis Program
Advanced_Systems_Analysis_Program
3D printing technique
microns in diameter. Powder particle size distributions are typically gaussian and range from 15 to 100 microns in diameter, although this can be customized
Selective_laser_sintering
Power transferred per unit area
monochromatic propagating electromagnetic wave such as a plane wave or a Gaussian beam travelling in a non-magnetic medium, the time-averaged Poynting vector
Intensity_(physics)
Type of angular momentum in light
charge" of the optical vortex. Light beams that are in a helical mode carry nonzero OAM. As an example, any Laguerre-Gaussian mode with rotational mode number
Orbital angular momentum of light
Orbital_angular_momentum_of_light
Gaussian noise Gaussian beam Gaussian blur, a technique in image processing Gaussian fixed point Gaussian random field Gaussian free field Gaussian integral
List of things named after Carl Friedrich Gauss
List_of_things_named_after_Carl_Friedrich_Gauss
Process of hair removal by exposure to laser pulses
of the laser beam, directly affects the depth of penetration of the light energy due to scattering effects in the dermal layer. Larger beam diameters or
Laser_hair_removal
Form of spatially correllated light with unusual optical properties
Monochromatic Gaussian beam is shown to be transformed into spacetime wave packets under Lorentz transformation, thus any monochromatic Gaussian beam observed
Spacetime_wave_packets
Kind of show made with laser light
entertain an audience. A laser light show may consist only of projected laser beams set to music, or may accompany another form of entertainment, typically
Laser_lighting_display
Engraving objects using lasers
the laser beam aimed at the surface. The surface is chosen to match the type of material the laser can act on. The point where the laser beam touches the
Laser_engraving
Medical use of laser to cut tissues
photothermolysis). The laser beam penetrates the skin until it encounters chromophore which absorbs the laser beam. After absorption of the laser beam, heat is generated
Laser_surgery
Spectroscopic technique
complementary information. Typically, a sample is illuminated with a laser beam. Electromagnetic radiation from the illuminated spot is collected with a
Raman_spectroscopy
Optical imaging technique
as it can penetrate, while a confocal microscope only focuses a smaller beam of light at one narrow depth level at a time. The CLSM achieves a controlled
Confocal_microscopy
core of an optical fiber extending slightly into the cladding. Beam diameter Gaussian beam [1] Types of Optical Fiber Mode Radius on the Encyclopedia of
Mode_field_diameter
Type of gas laser
to other visible lasers producing beams of similar quality in terms of spatial coherence (a single-mode Gaussian beam) and long coherence length (however
Helium–neon_laser
Computer program used for optical engineering
optical systems. Fred can handle both incoherent and coherent light using Gaussian beam propagation. The program offers a high level of visualization using
Fred Optical Engineering Software
Fred_Optical_Engineering_Software
Propagation of information or matter faster than the speed of light
this effect. However, group velocity can exceed c in some parts of a Gaussian beam in vacuum (without attenuation). The diffraction causes the peak of
Faster-than-light
process with CO2 laser beams. One consideration crucial to the success of a heat treatment operation is control of the laser beam irradiance on the part
List_of_laser_applications
Laser which uses a solid gain medium
high power levels (terawatts) and high energies (megajoules), for multiple-beam inertial confinement fusion. The first material used for lasers was synthetic
Solid-state_laser
Recreational shooting sport and game
for combat training. This MILES system functioned like laser tag in that beams are "fired" into receivers that score hits. The first known toy to use infrared
Laser_tag
Change in refractive index of a material in response to an applied electric field
For example, a Gaussian beam results in a Gaussian refractive index profile, similar to that of a gradient-index lens. This causes the beam to focus itself
Kerr_effect
Electrostatic digital printing process
graphics (and moderate-quality photographs) by repeatedly passing a laser beam back and forth over a negatively charged cylinder called a "drum" to define
Laser_printing
Laser pulsing technique
is a technique by which a laser can be made to produce a pulsed output beam. The technique allows the production of light pulses with extremely high
Q-switching
Handheld device that emits a laser beam
low-power visible laser beam (i.e. coherent light) to highlight something of interest with a small bright colored spot. The beam may be focused with lenses
Laser_pointer
Digital optical disc data storage format
compact disc is an evolution of LaserDisc technology, where a focused laser beam is used that enables the high information density required for high-quality
Compact_disc
Optical system with resolution performance at the instrument's theoretical limit
The beam quality of a laser beam is characterized by how well its propagation matches an ideal Gaussian beam at the same wavelength. The beam quality
Diffraction-limited_system
Optical device which splits a beam of light in two
is possible to simulate arbitrary Gaussian (Bogoliubov) transformations of a quantum state of light by means of beam splitters, phase shifters and photodetectors
Beam_splitter
Treatment using irradiation with light of low power intensity
Ash, C, M Dubec, K Donne and T Bashford (2017) "Effect of wavelength and beam width on penetration in light-tissue interaction using computational methods"
Low-level_laser_therapy
Property of a charged particle beam
{\displaystyle x} and the fraction of the beam to be included in the emittance. The equation for the emittance of a Gaussian beam is: ε = − 2 π σ 2 β l n ( 1 − F
Beam_emittance
Study involving matter and electromagnetic radiation
X-ray photoelectron spectroscopy is a surface analysis technique that uses a beam of X-rays to perform photoemission spectroscopy Photothermal spectroscopy
Spectroscopy
3D printing technique
part is fully dense. A similar process is electron beam melting (EBM), which uses an electron beam as the energy source. Selective laser melting is able
Selective_laser_melting
laser Gaser, Gamma Amplification by Stimulated Emission of Radiation Gaussian beam Geoscience Laser Altimeter System Glan–laser prism Goniometer Grating-eliminated
List_of_laser_articles
Signal-processing operation
used. If the imaging beam has a Gaussian distribution, then when the truncation ratio (the ratio of the diameter of the Gaussian beam to the diameter of
Apodization
Type of atomic emission spectroscopy
Ultrashort pulse Optics Beam expander Beam homogenizer Chirped pulse amplification Gain-switching Gaussian beam Injection seeder Laser beam profiler M squared
Laser-induced breakdown spectroscopy
Laser-induced_breakdown_spectroscopy
Skin treatment
Ultrashort pulse Optics Beam expander Beam homogenizer Chirped pulse amplification Gain-switching Gaussian beam Injection seeder Laser beam profiler M squared
Photorejuvenation
When a system has more excited-state members than ground-state
inhomogeneous magnetic field will separate atoms in the higher energy state from a beam of mixed-state atoms. The separated population represents a population inversion
Population_inversion
Regions of an electromagnetic field
source or aperture that is closer than the Rayleigh length. (Presuming a Gaussian beam, which is appropriate for fiber optics.) The most convenient practice
Near_and_far_field
Source of optical gain in a laser
pumped by chemical reactions, nuclear fission, or with high-energy electron beams. The simplest model of optical gain in real systems includes just two, energetically
Active_laser_medium
Laser that obtains energy from chemical reactions
Siegman (Stanford University). Part I of their work dealt with Hermite-Gaussian Expansion and has received little use compared with Part II, which dealt
Chemical_laser
Laser mode-locking method
a Gaussian beam (as found in laser resonators) the refractive index changes across the beam profile; the refractive index experienced by the beam is
Kerr-lens_modelocking
modeling of optical systems, diffraction, interference, wave-front, and Gaussian beam propagation calculations. In addition to conducting simulations of optical
Optica_Optics_Software
Physics technique
generates a gaussian beam which focuses inside a flow cell. A particle that passes through the focal region generates an interference in the beam, which is
Single particle extinction and scattering
Single_particle_extinction_and_scattering
Range 300-3000 GHz of the electromagnetic spectrum
distributed by a Gaussian function. The geometry and behavior of Gaussian beam in the Fraunhofer region imply that the electromagnetic beams diverge more
Terahertz_radiation
American applied mathematician
doctoral dissertation, The two-frequency mutual coherence function of a Gaussian beam pulse in weak turbulence, was supervised by Akira Ishimaru. She returned
Cynthia_Y._Young
Electromagnetic wave that is not pulsed
output beam, sometimes referred to as "free-running," as opposed to a q-switched, gain-switched or modelocked laser, which has a pulsed output beam. The
Continuous_wave
Laser fundamental design principles
allows some of the light to leave the cavity to produce the laser's output beam. Light from the medium, produced by spontaneous emission, is reflected by
Laser_construction
Equipment using an organic dye to emit coherent light
prism or diffraction grating is usually mounted in the beam path, to allow tuning of the beam. Because the liquid medium of a dye laser can fit any shape
Dye_laser
Process that removes material from an object by heating it with a laser
a solid (or occasionally liquid) surface by irradiating it with a laser beam. At low laser flux, the material is heated by the absorbed laser energy and
Laser_ablation
Way to produce very short laser bursts
each longitudinal mode. For example, for a laser producing pulses with a Gaussian temporal shape, the minimum possible pulse duration Δt is given by Δ t
Mode_locking
Type of gas laser
Ultrashort pulse Optics Beam expander Beam homogenizer Chirped pulse amplification Gain-switching Gaussian beam Injection seeder Laser beam profiler M squared
Ion_laser
Laser which emits light with blue wavelengths
use high currents and large cooling due to poor efficiency: 0.01%. Blue beams can be produced using helium-cadmium gas lasers at 441.6 nm, or argon-ion
Blue_laser
Imaging technique
time-of-flight of reflected light. OCT uses transverse sample scanning of the light beam to obtain two- and three-dimensional images. Short-coherence-length light
Optical_coherence_tomography
Scanning of an object or environment to collect data on its shape
the beam hitting an edge are increased and the resulting data will show noise just behind the edges of the object. Scanners with a smaller beam width
3D_scanning
Funnel-shaped waveguide radio device
ISBN 978-81-8431-278-2. Goldsmith, Paul F. (1998). Quasioptical Systems: Gaussian beam quasioptical propagation and applications. USA: IEEE Press. pp. 173–174
Horn_antenna
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
Reference_beam
Device that amplifies an optical signal
that uses a waveguide to boost an optical signal. A relatively high-powered beam of light known as the pump light is mixed with the amplified input signal
Optical_amplifier
Application of laser in medical field
Ultrashort pulse Optics Beam expander Beam homogenizer Chirped pulse amplification Gain-switching Gaussian beam Injection seeder Laser beam profiler M squared
Laser_medicine
Form of laser based refractive eye surgery
Ultrashort pulse Optics Beam expander Beam homogenizer Chirped pulse amplification Gain-switching Gaussian beam Injection seeder Laser beam profiler M squared
Small incision lenticule extraction
Small_incision_lenticule_extraction
GAUSSIAN BEAM
GAUSSIAN BEAM
Male
Russian
Variant spelling of Russian Afanasiy, AFANASY means "immortal."
Male
Russian
Variant spelling of Russian Arseniy, ARSENIY means "virile."
Male
Russian
Variant spelling of Russian Arseniy, ARSENI means "virile."
Boy/Male
Australian, French, German, Irish
Curly-headed
Male
Russian
(Russian ИÑидор): Russian form of Greek Isidoros, ISIDOR means "gift of Isis."
Male
Russian
Variant spelling of Russian Afanasiy, AFANASII means "immortal."
Male
Russian
Variant spelling of Russian Vasiliy, VASILY means "king."
Female
Russian
(Russian Ева): Armenian and Russian form of Greek Eva, YEVA means "life."Â
Male
Russian
(Паша) Russian pet form of Czech/Russian Pavel, PASHA means "small."
Male
Russian
Variant spelling of Russian Faddei, FADEI means "courageous."
Male
Russian
Variant spelling of Russian Vikentiy, VIKENTI means "conquering."
Male
Russian
Variant spelling of Russian Afanasiy, AFANASEI means "immortal."
Male
Russian
Variant spelling of Russian Gennadiy, GENNADI means "noble."
Male
Russian
Variant spelling of Russian Vasiliy, VASSILY means "king."
Male
Russian
Variant spelling of Russian Aleksey, ALEXEY means "defender."
Male
Russian
Variant spelling of Russian Irinei, IRINEY means "peaceful."
Male
Russian
(РоÑÑ) Russian pet form of Czech/Russian Rostislav, ROSTYA means "usurp-glory."
Male
Russian
Variant spelling of Russian Vasiliy, VASILI means "king."
Male
Russian
Variant spelling of Russian Gennadiy, GENNADY means "noble."
Female
Russian
(Людмила) Russian feminine form of Czech/Russian Ludmil, LUDMILA means "people's favor."Â
GAUSSIAN BEAM
GAUSSIAN BEAM
Female
English
Anglicized form of Hebrew She'era, SHERAH means "kinswoman." In the bible, this is the name of a daughter of Ephraim.
Boy/Male
Indian, Punjabi, Sikh
Victory of the Lord of Light
Surname or Lastname
English
English : variant spelling of Grimes.
Girl/Female
Tamil
Mirunalini | மீரà¯à®¨à®¾à®²à¯€à®¨à¯€
Goddess Lakshmi
Boy/Male
Indian, Sanskrit
Melody of Voice
Girl/Female
Tamil
Shrestajna | à®·à¯à®°à¯‡à®¸à¯à®¤à®¾à®œà®¨à®¾
Top knowledge
Boy/Male
Hindu, Indian
Breeze
Girl/Female
Anglo, British, English
Noble Woman; Leader
Girl/Female
Gujarati, Hindu, Indian
One who Gets Credit; Brainy
Female
English
Modern English name, possibly derived from the Greek word aidoios, HAIDEE means "modest."
GAUSSIAN BEAM
GAUSSIAN BEAM
GAUSSIAN BEAM
GAUSSIAN BEAM
GAUSSIAN BEAM
n.
A Russian river craft used for transporting freight.
n.
A Russian village community.
n.
Prussian leather.
n. sing. & pl.
A Russian, or the Russians.
n.
One who, not being a Russian, favors Russian policy and aggrandizement.
n.
A native or inhabitant of Prussia.
a.
Prussian; -- applied to certain astronomical tables published in the sixteenth century, founded on the principles of Copernicus, a Prussian.
a.
Of or pertaining to Russia, its inhabitants, or language.
a.
Of or pertaining to Prussia.
n.
A native or inhabitant of Russia; the language of Russia.
n.
A Russian drink distilled from rye.
n.
A Russian weight, equal to forty Russian pounds or about thirty-six English pounds avoirdupois.
n.
A Russian measure of length = 2 ft. 4.246 inches.
n.
The Russian variety of bagatelle.
n.
A kind of carp (Cyprinus gibelio); -- called also Prussian carp.
n.
A Russian measure of length containing 3,500 English feet.
n.
Morbid dread of Russia or of Russian influence.
n.
A Russian copper coin. See Kopeck.
a.
Of or pertaining to Lithuania (formerly a principality united with Poland, but now Russian and Prussian territory).