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  2. Rayleigh length - Wikipedia

    en.wikipedia.org/wiki/Rayleigh_length

    Gaussian beam width () as a function of the axial distance .: beam waist; : confocal parameter; : Rayleigh length; : total angular spread In optics and especially laser science, the Rayleigh length or Rayleigh range, , is the distance along the propagation direction of a beam from the waist to the place where the area of the cross section is doubled. [1]

  3. Rayleigh number - Wikipedia

    en.wikipedia.org/wiki/Rayleigh_number

    In fluid mechanics, the Rayleigh number (Ra, after Lord Rayleigh [1]) for a fluid is a dimensionless number associated with buoyancy-driven flow, also known as free (or natural) convection. [ 2 ] [ 3 ] [ 4 ] It characterises the fluid's flow regime: [ 5 ] a value in a certain lower range denotes laminar flow ; a value in a higher range ...

  4. Rayleigh dissipation function - Wikipedia

    en.wikipedia.org/wiki/Rayleigh_dissipation_function

    In physics, the Rayleigh dissipation function, named after Lord Rayleigh, is a function used to handle the effects of velocity-proportional frictional forces in Lagrangian mechanics. It was first introduced by him in 1873. [ 1 ]

  5. Dimensional analysis - Wikipedia

    en.wikipedia.org/wiki/Dimensional_analysis

    In dimensional analysis, Rayleigh's method is a conceptual tool used in physics, chemistry, and engineering. It expresses a functional relationship of some variables in the form of an exponential equation .

  6. Angular resolution - Wikipedia

    en.wikipedia.org/wiki/Angular_resolution

    The result, θ = 4.56/D, with D in inches and θ in arcseconds, is slightly narrower than calculated with the Rayleigh criterion. A calculation using Airy discs as point spread function shows that at Dawes' limit there is a 5% dip between the two maxima, whereas at Rayleigh's criterion there is a 26.3% dip. [3]

  7. List of optics equations - Wikipedia

    en.wikipedia.org/wiki/List_of_optics_equations

    List of electromagnetism equations; List of equations in classical mechanics; List of equations in gravitation; List of equations in nuclear and particle physics; List of equations in quantum mechanics; List of equations in wave theory; List of relativistic equations

  8. Optical resolution - Wikipedia

    en.wikipedia.org/wiki/Optical_resolution

    Also common in the microscopy literature is a formula for resolution that treats the above-mentioned concerns about contrast differently. [2] The resolution predicted by this formula is proportional to the Rayleigh-based formula, differing by about 20%. For estimating theoretical resolution, it may be adequate.

  9. Rayleigh distribution - Wikipedia

    en.wikipedia.org/wiki/Rayleigh_distribution

    Hence, the above formula can be used to estimate the noise variance in an MRI image from background data. [7] [8] The Rayleigh distribution was also employed in the field of nutrition for linking dietary nutrient levels and human and animal responses. In this way, the parameter σ may be used to calculate nutrient response relationship. [9]