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Coherence length
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Coherence length : ウィキペディア英語版
Coherence length

In physics, coherence length is the propagation distance over which a coherent wave (e.g. an electromagnetic wave) maintains a specified degree of coherence. Wave interference is strong when the paths taken by all of the interfering waves differ by less than the coherence length. A wave with a longer coherence length is closer to a perfect sinusoidal wave. Coherence length is important in holography and telecommunications engineering.
This article focuses on the coherence of classical electromagnetic fields. In quantum mechanics, there is a mathematically analogous concept of the quantum coherence length of a wave function.
==Formulas==

In radio-band systems, the coherence length is approximated by
:L=,
where ''c'' is the speed of light in a vacuum, ''n'' is the refractive index of the medium, and \Delta f is the bandwidth of the source.
In optical communications, assuming that the source has a Gaussian emission spectrum, the coherence length L is given by 〔Akcay, C., Parrein. P., and Rolland, J. P. (2002). Estimation of longitudinal resolution in optical coherence imaging. Applied Optics 41 (25), 5256-5262 〕
:L=,
where \lambda is the central wavelength of the source, n is the refractive index of the medium, and \Delta\lambda is the spectral width of the source. If the source has a Gaussian spectrum with FWHM spectral width \Delta\lambda, then a path offset of ±L will reduce the fringe visibility to 50%.
''Coherence length'' is usually applied to the optical regime.
The expression above is a frequently used approximation. Due to ambiguities in the definition of spectral width of a source, however, the following definition of coherence length has been suggested:
The coherence length can be measured using a Michelson interferometer and is the optical path length difference of a self-interfering laser beam which corresponds to a 1/e=37\% fringe visibility, where the fringe visibility is defined as
:V = ,\,
where I is the fringe intensity.
In long-distance transmission systems, the coherence length may be reduced by propagation factors such as dispersion, scattering, and diffraction.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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