Rayleigh criterion

(noun)

The angular resolution of an optical system can be estimated from the diameter of the aperture and the wavelength of the light, which was first proposed by Lord Rayleigh.

Related Terms

  • matter wave

Examples of Rayleigh criterion in the following topics:

  • The Rayleigh Criterion

    • The Rayleigh criterion determines the separation angle between two light sources which are distinguishable from each other.
    • In the 19th century, Lord Rayleigh invented a criteria for determining when two light sources were distinguishable from each other, or resolved.
    • Shown here is the Rayleigh criterion for being just resolvable.
  • The Heisenberg Uncertainty Principle

    • If a large aperture is used for the microscope, the electron's location can be well resolved (see Rayleigh criterion); but by the principle of conservation of momentum, the transverse momentum of the incoming photon and hence the new momentum of the electron resolves poorly.
  • Scattering of Light by the Atmosphere

    • Rayleigh scattering describes the air's gas molecules scattering light as it enters the atmosphere; it also describes why the sky is blue.
    • Rayleigh scattering is the elastic scattering of waves by particles that are much smaller than the wavelengths of those waves.
    • Rayleigh scattering is due to the polarizability of an individual molecule.
    • This increases the Rayleigh scattering effect and removes all blue light from the direct path of the observer.
    • Describe wave-particle relationship that leads to Rayleigh scattering and apply it to explain common phenomena
  • An objective measure for finding the best line

    • Perhaps our criterion could minimize the sum of the residual magnitudes:
    • The line that minimizes this least squares criterion is represented as the solid line in Figure 7.12.
    • The following are three possible reasons to choose Criterion (second equation) over Criterion (first equation):
    • Computing the line based on Criterion (second equation) is much easier by hand and in most statistical software.
    • The first two reasons are largely for tradition and convenience; the last reason explains why Criterion (7.10) is typically most helpful.
  • Polarization By Scattering and Reflecting

    • Just as unpolarized light can be partially polarized by reflecting, it can also be polarized by scattering (also known as Rayleigh scattering; illustrated in ).
    • Also known as Rayleigh scattering.
  • Blackbody Radiation

    • This expression is most useful in the regime where the intensity of the blackbody is proportional to the temperature i.e. the Rayleigh-Jeans limit.
  • Thermodynamics

    • This expression is most useful in the regime where the intensity of the blackbody is proportional to the temperature i.e. the Rayleigh-Jeans limit.Here we have,
  • Blackbody Temperatures

    • This expression is most useful in the regime where the intensity of the blackbody is proportional to the temperature i.e. the Rayleigh-Jeans limit.
  • Grading Students

    • Within each criterion, the teacher would then list degrees of fulfillment and pair those degrees with a letter or number grade.
    • An essay, for example, which was characterized by very clear prose might receive an "A" for that criterion.
    • If that same essay, however, was deeply unoriginal, it might receive a "C" for that criterion.
    • And if it lacked documentation all together, it might receive a "D" or an "F" for that criterion.
    • (She might weigh each criterion equally, or might assign the most important relatively more weight).
  • Concavity and the Second Derivative Test

    • The second derivative test is a criterion for determining whether a given critical point is a local maximum or a local minimum.
    • In calculus, the second derivative test is a criterion for determining whether a given critical point of a real function of one variable is a local maximum or a local minimum using the value of the second derivative at the point.
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