Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Gaussian_beam> ?p ?o }
- Gaussian_beam abstract "In optics, a Gaussian beam is a beam of monochromatic electromagnetic radiation whose transverse magnetic and electric field amplitude profiles are given by the Gaussian function; this also implies a Gaussian intensity (irradiance) profile. This fundamental (or TEM00) transverse gaussian mode describes the intended output of most (but not all) lasers, as such a beam can be focused into the most concentrated spot. When such a beam is refocused by a lens, the transverse phase dependence is altered; this results in a different Gaussian beam. The electric and magnetic field amplitude profiles along any such circular Gaussian beam (for a given wavelength and polarization) are determined by a single parameter: the so-called waist w0. At any position z relative to the waist (focus) along a beam having a specified w0, the field amplitudes and phases are thereby determined as detailed below.The equations below assume a beam with a circular cross-section at all values of z; this can be seen by noting that a single transverse dimension, r, appears. Beams with elliptical cross-sections, or with waists at different positions in z for the two transverse dimensions (astigmatic beams) can also be described as Gaussian beams, but with distinct values of w0 and of the z=0 location for the two transverse dimensions x and y.Arbitrary solutions of the paraxial Helmholtz equation can be expressed as combinations of Hermite–Gaussian modes (whose amplitude profiles are separable in x and y using Cartesian coordinates) or similarly as combinations of Laguerre–Gaussian modes (whose amplitude profiles are separable in r and θ using cylindrical coordinates). At any point along the beam z these modes include the same Gaussian factor as the fundamental Gaussian mode multiplying the additional geometrical factors for the specified mode. However different modes propagate with a different Gouy phase which is why the net transverse profile due to a superposition of modes evolves in z, whereas the propagation of any single Hermite–Gaussian (or Laguerre–Gaussian) mode retains the same form along a beam.Although there are other possible modal decompositions, these families of solutions are the most useful for problems involving compact beams, that is, where the optical power is rather closely confined along an axis. Even when a laser is not operating in the fundamental Gaussian mode, its power will generally be found among the lowest-order modes using these decompositions, as the spatial extent of higher order modes will tend to exceed the bounds of a laser's resonator (cavity). \"Gaussian beam\" normally implies radiation confined to the fundamental (TEM00) Gaussian mode.".
- Gaussian_beam thumbnail Gaussian_beam_30mm_40mm_2.png?width=300.
- Gaussian_beam wikiPageExternalLink Gaussian_Beam_PropagationWEB.pdf.
- Gaussian_beam wikiPageExternalLink content.aspx.
- Gaussian_beam wikiPageExternalLink abstract.cfm?URI=ol-29-2-144.
- Gaussian_beam wikiPageExternalLink abstract.cfm?URI=ol-32-21-3053.
- Gaussian_beam wikiPageID "41206".
- Gaussian_beam wikiPageLength "36196".
- Gaussian_beam wikiPageOutDegree "82".
- Gaussian_beam wikiPageRevisionID "703704493".
- Gaussian_beam wikiPageWikiLink Astigmatism.
- Gaussian_beam wikiPageWikiLink Beam_parameter_product.
- Gaussian_beam wikiPageWikiLink Bessel_beam.
- Gaussian_beam wikiPageWikiLink Cartesian_coordinate_system.
- Gaussian_beam wikiPageWikiLink Category:Electromagnetic_radiation.
- Gaussian_beam wikiPageWikiLink Category:Laser_science.
- Gaussian_beam wikiPageWikiLink Circular_symmetry.
- Gaussian_beam wikiPageWikiLink Complex_number.
- Gaussian_beam wikiPageWikiLink Confluent_hypergeometric_function.
- Gaussian_beam wikiPageWikiLink Cylindrical_coordinate_system.
- Gaussian_beam wikiPageWikiLink Diffraction.
- Gaussian_beam wikiPageWikiLink Electric_field.
- Gaussian_beam wikiPageWikiLink Electromagnetic_radiation.
- Gaussian_beam wikiPageWikiLink Electromagnetic_wave_equation.
- Gaussian_beam wikiPageWikiLink Elliptic_coordinate_system.
- Gaussian_beam wikiPageWikiLink Fourier_transform.
- Gaussian_beam wikiPageWikiLink Fraunhofer_diffraction.
- Gaussian_beam wikiPageWikiLink Gaussian_function.
- Gaussian_beam wikiPageWikiLink Helmholtz_equation.
- Gaussian_beam wikiPageWikiLink Hermite_polynomials.
- Gaussian_beam wikiPageWikiLink Imaginary_unit.
- Gaussian_beam wikiPageWikiLink Impedance_of_free_space.
- Gaussian_beam wikiPageWikiLink Ince_equation.
- Gaussian_beam wikiPageWikiLink Intensity_(physics).
- Gaussian_beam wikiPageWikiLink Irradiance.
- Gaussian_beam wikiPageWikiLink LHxc3xb4pitals_rule.
- Gaussian_beam wikiPageWikiLink Laguerre_polynomials.
- Gaussian_beam wikiPageWikiLink Laser_beam_profiler.
- Gaussian_beam wikiPageWikiLink Laser_beam_quality.
- Gaussian_beam wikiPageWikiLink Lens_(optics).
- Gaussian_beam wikiPageWikiLink Light_beam.
- Gaussian_beam wikiPageWikiLink Linear_system.
- Gaussian_beam wikiPageWikiLink Louis_Georges_Gouy.
- Gaussian_beam wikiPageWikiLink M_squared.
- Gaussian_beam wikiPageWikiLink Magnetic_field.
- Gaussian_beam wikiPageWikiLink Numerical_aperture.
- Gaussian_beam wikiPageWikiLink Optical_cavity.
- Gaussian_beam wikiPageWikiLink Optical_vortex.
- Gaussian_beam wikiPageWikiLink Optics.
- Gaussian_beam wikiPageWikiLink Orbital_angular_momentum_of_light.
- Gaussian_beam wikiPageWikiLink Orthonormality.
- Gaussian_beam wikiPageWikiLink Paraxial_approximation.
- Gaussian_beam wikiPageWikiLink Phase_velocity.
- Gaussian_beam wikiPageWikiLink Phasor.
- Gaussian_beam wikiPageWikiLink Polarization_(waves).
- Gaussian_beam wikiPageWikiLink Power_(physics).
- Gaussian_beam wikiPageWikiLink Radian.
- Gaussian_beam wikiPageWikiLink Radius_of_curvature_(optics).
- Gaussian_beam wikiPageWikiLink Ray_transfer_matrix_analysis.
- Gaussian_beam wikiPageWikiLink Rayleigh_length.
- Gaussian_beam wikiPageWikiLink Refractive_index.
- Gaussian_beam wikiPageWikiLink Singularity_(mathematics).
- Gaussian_beam wikiPageWikiLink Superposition_principle.
- Gaussian_beam wikiPageWikiLink Tophat_beam.
- Gaussian_beam wikiPageWikiLink Transverse_mode.
- Gaussian_beam wikiPageWikiLink Wave_impedance.
- Gaussian_beam wikiPageWikiLink Wavefront.
- Gaussian_beam wikiPageWikiLink Wavelength.
- Gaussian_beam wikiPageWikiLink Wavenumber.
- Gaussian_beam wikiPageWikiLink File:GaussianBeamWaist.svg.
- Gaussian_beam wikiPageWikiLink File:Gaussian_beam_30mm_40mm_2.png.
- Gaussian_beam wikiPageWikiLink File:Green_laser_pointer_TEM00_profile.JPG.
- Gaussian_beam wikiPageWikiLink File:Hermite-gaussian.png.
- Gaussian_beam wikiPageWikiLink File:Laser_gaussian_profile.svg.
- Gaussian_beam wikiPageWikiLinkText "Gaussian Optics".
- Gaussian_beam wikiPageWikiLinkText "Gaussian beam propagation".
- Gaussian_beam wikiPageWikiLinkText "Gaussian beam width".
- Gaussian_beam wikiPageWikiLinkText "Gaussian beam".
- Gaussian_beam wikiPageWikiLinkText "Gaussian beam#Beam width or spot size".
- Gaussian_beam wikiPageWikiLinkText "Gaussian beam#Gouy phase".
- Gaussian_beam wikiPageWikiLinkText "Gaussian beam#Hermite-Gaussian modes".
- Gaussian_beam wikiPageWikiLinkText "Gaussian beam#Laguerre-Gaussian modes".
- Gaussian_beam wikiPageWikiLinkText "Gaussian beams".
- Gaussian_beam wikiPageWikiLinkText "Gaussian laser beams".
- Gaussian_beam wikiPageWikiLinkText "Gaussian".
- Gaussian_beam wikiPageWikiLinkText "Gaussian_beam#Gouy_phase".
- Gaussian_beam wikiPageWikiLinkText "Gouy phase shift".
- Gaussian_beam wikiPageWikiLinkText "Gouy phase".
- Gaussian_beam wikiPageWikiLinkText "Hermite-Gaussian beams".
- Gaussian_beam wikiPageWikiLinkText "Hermite-Gaussian modes".
- Gaussian_beam wikiPageWikiLinkText "Hypergeometric-Gaussian modes".
- Gaussian_beam wikiPageWikiLinkText "Laguerre-Gaussian (LG) beams".
- Gaussian_beam wikiPageWikiLinkText "Laguerre-Gaussian modes".
- Gaussian_beam wikiPageWikiLinkText "diffraction-limited".
- Gaussian_beam wikiPageWikiLinkText "gaussian beam".
- Gaussian_beam wikiPageWikiLinkText "gaussian laser".
- Gaussian_beam wikiPageWikiLinkText "hypergeometric-Gaussian mode".
- Gaussian_beam wikiPageWikiLinkText "spot size".
- Gaussian_beam date "January 2016".
- Gaussian_beam reason "sinh and cosh are too different to be used similarly in x and y. Please check original reference".