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  2. Planck's law - Wikipedia

    en.wikipedia.org/wiki/Planck's_law

    The 41.8% point is the wavelength-frequency-neutral peak (i.e. the peak in power per unit change in logarithm of wavelength or frequency). These are the points at which the respective Planck-law functions ⁠ 1 / λ 5 ⁠ , ν 3 and ⁠ ν 2 / λ 2 ⁠ , respectively, divided by exp ( ⁠ hν / k B T ⁠ ) − 1 attain their maxima.

  3. Wien's displacement law - Wikipedia

    en.wikipedia.org/wiki/Wien's_displacement_law

    Formally, the wavelength version of Wien's displacement law states that the spectral radiance of black-body radiation per unit wavelength, peaks at the wavelength given by: where T is the absolute temperature and b is a constant of proportionality called Wien's displacement constant, equal to 2.897771955...×10−3m⋅K, 1 2 or b ≈ 2898 μm ⋅K.

  4. Refractive index - Wikipedia

    en.wikipedia.org/wiki/Refractive_index

    The refractive index of materials varies with the wavelength (and frequency) of light. [27] This is called dispersion and causes prisms and rainbows to divide white light into its constituent spectral colors. [28] As the refractive index varies with wavelength, so will the refraction angle as light goes from one material to another.

  5. Wavelength - Wikipedia

    en.wikipedia.org/wiki/Wavelength

    Relationship between wavelength, angular wavelength, and other wave properties. A quantity related to the wavelength is the angular wavelength (also known as reduced wavelength), usually symbolized by ƛ ("lambda-bar" or barred lambda). It is equal to the ordinary wavelength reduced by a factor of 2π (ƛ = λ/2π), with SI units of meter per ...

  6. Black-body radiation - Wikipedia

    en.wikipedia.org/wiki/Black-body_radiation

    A consequence of Wien's displacement law is that the wavelength at which the intensity per unit wavelength of the radiation produced by a black body has a local maximum or peak, , is a function only of the temperature: =, where the constant b, known as Wien's displacement constant, is equal to + 2.897 771 955 × 10 −3 m K. [31]

  7. Dispersion relation - Wikipedia

    en.wikipedia.org/wiki/Dispersion_relation

    A dispersion relation relates the wavelength or wavenumber of a wave to its frequency. Given the dispersion relation, one can calculate the frequency-dependent phase velocity and group velocity of each sinusoidal component of a wave in the medium, as a function of frequency. In addition to the geometry-dependent and material-dependent ...

  8. Cauchy's equation - Wikipedia

    en.wikipedia.org/wiki/Cauchy's_equation

    It deviates in the ultraviolet and infrared regions. In optics, Cauchy's transmission equation is an empirical relationship between the refractive index and wavelength of light for a particular transparent material. It is named for the mathematician Augustin-Louis Cauchy, who originally defined it in 1830 in his article "The refraction and ...

  9. Planck relation - Wikipedia

    en.wikipedia.org/wiki/Planck_relation

    The Planck relation [1] [2] [3] (referred to as Planck's energy–frequency relation, [4] the Planck–Einstein relation, [5] Planck equation, [6] and Planck formula, [7] though the latter might also refer to Planck's law [8] [9]) is a fundamental equation in quantum mechanics which states that the energy E of a photon, known as photon energy, is proportional to its frequency ν: =.