Full width at half maximum

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full width at half maximum

A full width at half maximum (FWHM) is an expression of the extent of a function, given by the difference between the two extreme values of the independent variable at which the dependent variable is equal to half of its maximum value.

FWHM is applied to such phenomena as the duration of pulse waveforms and the spectral width of sources used for optical communications and the resolution of spectrometers.

The term full duration at half maximum (FDHM) is preferred when the independent variable is time.

When the considered function is the Normal distribution, the FWHM is related to the standard deviation σ by the expression {\rm FWHM} =   2 \sqrt{2\, {\rm ln}(2)}\ \sigma \sim 2.35\, \sigma.


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