List of photonics equations
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equation In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign . The word ''equation'' and its cognates in other languages may have subtly different meanings; for example, in F ...
s used in
optics Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it. Optics usually describes the behaviour of visible, ultrav ...
, including geometric optics,
physical optics In physics, physical optics, or wave optics, is the branch of optics that studies interference, diffraction, polarization, and other phenomena for which the ray approximation of geometric optics is not valid. This usage tends not to include ef ...
,
radiometry Radiometry is a set of techniques for measuring electromagnetic radiation, including visible light. Radiometric techniques in optics characterize the distribution of the radiation's power in space, as opposed to photometric techniques, which ch ...
, diffraction, and
interferometry Interferometry is a technique which uses the '' interference'' of superimposed waves to extract information. Interferometry typically uses electromagnetic waves and is an important investigative technique in the fields of astronomy, fiber o ...
.


Definitions


Geometric optics (luminal rays)


General fundamental quantities


Physical optics (EM luminal waves)

There are different forms of the
Poynting vector In physics, the Poynting vector (or Umov–Poynting vector) represents the directional energy flux (the energy transfer per unit area per unit time) or ''power flow'' of an electromagnetic field. The SI unit of the Poynting vector is the watt p ...
, the most common are in terms of the E and B or E and H fields.


Radiometry

For spectral quantities two definitions are in use to refer to the same quantity, in terms of frequency or wavelength.


Equations


Luminal electromagnetic waves


Geometric optics

Subscripts 1 and 2 refer to initial and final optical media respectively. These ratios are sometimes also used, following simply from other definitions of refractive index, wave phase velocity, and the luminal speed equation: \frac = \frac = \frac = \sqrt \,\! where: *''ε'' = permittivity of medium, *''μ'' = permeability of medium, *''λ'' =
wavelength In physics, the wavelength is the spatial period of a periodic wave—the distance over which the wave's shape repeats. It is the distance between consecutive corresponding points of the same phase on the wave, such as two adjacent crests, tr ...
of light in medium, *''v'' =
speed of light The speed of light in vacuum, commonly denoted , is a universal physical constant that is important in many areas of physics. The speed of light is exactly equal to ). According to the special theory of relativity, is the upper limit fo ...
in media.


Polarization


Diffraction and interference


Astrophysics definitions

In astrophysics, ''L'' is used for ''luminosity'' (energy per unit time, equivalent to ''power'') and ''F'' is used for ''energy flux'' (energy per unit time per unit area, equivalent to ''intensity'' in terms of area, not solid angle). They are not new quantities, simply different names.


See also

*
Defining equation (physics) In physics, defining equations are equations that define new quantities in terms of base quantities. This article uses the current SI system of units, not natural or characteristic units. Description of units and physical quantities Physical ...
* Defining equation (physical chemistry) *
List of electromagnetism equations This article summarizes equations in the theory of electromagnetism. Definitions Here subscripts ''e'' and ''m'' are used to differ between electric and magnetic charges. The definitions for monopoles are of theoretical interest, although re ...
* List of equations in classical mechanics * List of equations in gravitation *
List of equations in nuclear and particle physics This article summarizes equations in the theory of nuclear physics and particle physics. Definitions Equations Nuclear structure Nuclear decay Nuclear scattering theory The following apply for the nuclear reaction: :''a'' + ''b'' ...
*
List of equations in quantum mechanics This article summarizes equations in the theory of quantum mechanics. Wavefunctions A fundamental physical constant occurring in quantum mechanics is the Planck constant, ''h''. A common abbreviation is , also known as the ''reduced Planck cons ...
* List of equations in wave theory * List of relativistic equations


Sources

* * * * * * * * * * * * *


Further reading

* * * * {{cite book, title=University Physics – With Modern Physics, edition=12th, author1=H.D. Young , author2=R.A. Freedman , publisher=Addison-Wesley (Pearson International), year=2008, isbn=978-0-321-50130-1 Optics equations
Optics Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it. Optics usually describes the behaviour of visible, ultrav ...
Equations In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign . The word ''equation'' and its cognates in other languages may have subtly different meanings; for example, in ...