confocal coordinates

  • 1Parabolic coordinates — are a two dimensional orthogonal coordinate system in which the coordinate lines are confocal parabolas. A three dimensional version of parabolic coordinates is obtained by rotating the two dimensional system about the symmetry axis of the… …

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  • 2Parabolic cylindrical coordinates — are a three dimensional orthogonal coordinate system that results from projecting the two dimensional parabolic coordinate system in theperpendicular z direction. Hence, the coordinate surfaces are confocal parabolic cylinders. Parabolic… …

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  • 3Paraboloidal coordinates — are a three dimensional orthogonal coordinate system (λ,μ,ν) that generalizes the two dimensional parabolic coordinate system. Similar to the related ellipsoidal coordinates, the paraboloidal coordinate system has orthogonal quadratic coordinate… …

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  • 4Ellipsoidal coordinates — are a three dimensional orthogonal coordinate system (λ,μ,ν) that generalizes the two dimensional elliptic coordinate system. Unlike most three dimensional orthogonal coordinate systems that feature quadratic coordinate surfaces, the ellipsoidal… …

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  • 5Elliptic coordinates — are a two dimensional orthogonal coordinate system in which the coordinate lines are confocal ellipses and hyperbolae. The two foci F {1} and F {2} are generally taken to be fixed at a and+a, respectively, on the x axis of the Cartesian… …

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  • 6Elliptic cylindrical coordinates — are a three dimensional orthogonal coordinate system that results from projecting the two dimensional elliptic coordinate system in theperpendicular z direction. Hence, the coordinate surfaces are prisms of confocal ellipses and hyperbolae. The… …

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  • 7Gaussian beam — In optics, a Gaussian beam is a beam of electromagnetic radiation whose transverse electric field and intensity (irradiance) distributions are well approximated by Gaussian functions. Many lasers emit beams that approximate a Gaussian profile, in …

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  • 8Point spread function — The point spread function (PSF) describes the response of an imaging system to a point source or point object. A related but more general term for the PSF is a system s impulse response. The PSF in many contexts can be thought of as the extended… …

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  • 9Focus (geometry) — Point F is a focus point for the red ellipse, green parabola and blue hyperbola. In geometry, the foci (  / …

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  • 10Hyperbola — This article is about a geometrical curve, a conic section. For the term used in rhetoric, see Hyperbole …

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