Coherence Time

For an electromagnetic wave, the coherence time is the time over which a propagating wave (especially a laser or maser beam) may be considered coherent. In other words, it is the time interval within which its phase is, on average, predictable.

In long-distance transmission systems, the coherence time may be reduced by propagation factors such as dispersion, scattering, and diffraction.

Coherence time, τ, is calculated by dividing the coherence length by the phase velocity of light in a medium; approximately given by

where λ is the central wavelength of the source, Δν and Δλ is the spectral width of the source in units of frequency and wavelength respectively, and c is the speed of light in vacuum.

A single mode fiber laser has a linewidth of a few kHz. The Schawlow-Townes limit for some cw lasers can be below 1 Hz. Hydrogen masers have linewidth around 1 Hz; their coherence length approximately corresponds to the distance from the Earth to the Moon.

Famous quotes containing the words coherence and/or time:

    When the coherence of the parts of a stone, or even that composition of parts which renders it extended; when these familiar objects, I say, are so inexplicable, and contain circumstances so repugnant and contradictory; with what assurance can we decide concerning the origin of worlds, or trace their history from eternity to eternity?
    David Hume (1711–1776)

    Now he saw by the heap of shavings still fresh at his feet, that, for him and for his work, the former lapse of time had been an illusion.
    Henry David Thoreau (1817–1862)