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The Stokes I, Q, U and V parameters. The Stokes parameters are a set of values that describe the polarization state of electromagnetic radiation.They were defined by George Gabriel Stokes in 1851, [1] [2] as a mathematically convenient alternative to the more common description of incoherent or partially polarized radiation in terms of its total intensity (I), (fractional) degree of ...
The most important parameter in duct acoustics. If ω {\displaystyle \omega } is the dimensional frequency , then k 0 {\displaystyle k_{0}} is the corresponding free field wavenumber and H e {\displaystyle He} is the corresponding dimensionless frequency [ 7 ]
The Stokes number (Stk), named after George Gabriel Stokes, is a dimensionless number characterising the behavior of particles suspended in a fluid flow. The Stokes number is defined as the ratio of the characteristic time of a particle (or droplet ) to a characteristic time of the flow or of an obstacle, or
The species Gonodactylus smithii is the only organism known to simultaneously detect the four linear and two circular polarisation components required to measure all four Stokes parameters, which yield a full description of polarisation. It is thus believed to have optimal polarisation vision.
The Mueller/Stokes architecture can also be used to describe non-linear optical processes, such as multi-photon excited fluorescence and second harmonic generation. The Mueller tensor can be connected back to the laboratory-frame Jones tensor by direct analogy with Mueller and Jones matrices.
In fluid mechanics, non-dimensionalization of the Navier–Stokes equations is the conversion of the Navier–Stokes equation to a nondimensional form. This technique can ease the analysis of the problem at hand, and reduce the number of free parameters. Small or large sizes of certain dimensionless parameters indicate the importance of certain ...
When the Womersley parameter is low, viscous forces tend to dominate the flow, velocity profiles are parabolic in shape, and the center-line velocity oscillates in phase with the driving pressure gradient. [2] Starting with Navier–Stokes equation for Cartesian flow:
Here U is the Ursell parameter (or Stokes parameter). For long waves ( λ ≫ h ) of small height H , i.e. U ≪ 32π 2 /3 ≈ 100 , second-order Stokes theory is applicable. Otherwise, for fairly long waves ( λ > 7 h ) of appreciable height H a cnoidal wave description is more appropriate. [ 6 ]