Centre wavelength

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The centre wavelength is the power-weighted mean wavelength:

 \lambda_c = \frac {1}{P_{total}} \int p(\lambda)  \lambda\, d\lambda

And the total power is:

P_{total}=\int p(\lambda) d\lambda

where p(\lambda) 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 p(\lambda) is higher than a fraction of its maximum.

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