Английская Википедия:Centre wavelength
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The centre wavelength is the power-weighted mean wavelength:
- <math>\lambda_\text{c} = \frac{1}{P_\text{total}} \int p(\lambda) \lambda\, d\lambda,</math>
and the total power is
- <math>P_\text{total} = \int p(\lambda) \,d\lambda,</math>
where <math>p(\lambda)</math> is the power spectral density, for example in W/nm.
The above integrals theoretically extend over the entire spectrum, however, it is usually sufficient to perform the integral over the spectrum where the spectral density <math>p(\lambda)</math> is higher than a fraction of its maximum.
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