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I How to calculate blackbody temperature from radiance band?

  1. Jul 15, 2016 #1
    I know how to calculate blackbody radiance in a spectral band from a temperature by integrating (or summing) planks function.

    How can I do the reverse? For example, I have a Radiance of 1000 W/m^2/sr in the 3-5um band, I'd like to be able to calculate 666.6K.
  2. jcsd
  3. Jul 17, 2016 #2
    T=hc/{L*k *{ln{2h*c^2/(L^5*R)}+1}}
    the above formula is quoted in the reference given below;
    L is wavelength ,k is Boltzman constant, h and c are usual well known constant R is radiance...well i do not know details you have to search.


    off course the peak value of wavelength is also related with temp.
  4. Jul 17, 2016 #3
    I did see that, and that gives the temperature for one wavelength.

    My radiance is over a band.
    For example, in a BB calculator, I can put in 666.6K, over the 3-5um band, and it will give me 1000 W/m^2/sr
    How do I do the reverse? I have 1000 W/m^2/sr in the 3-5um and I want to calculate the temperature
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