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Homework Help: Response functions

  1. Sep 7, 2009 #1
    1. The problem statement, all variables and given/known data

    Consider you are conducting an experiment of using a photometer to measure the radiation from a blackbody source. Write down the expression for the received flux from the blackbody for two different cases:

    a) your photometer has a square-response function going from wavelengths $\lambda_1$ to $\lambda_2$ with an efficiency of X.

    b) your photometer has an efficiency characterised by the function f(\lambda).

    2. Relevant equations


    3. The attempt at a solution

    a) X \cdot \int_{\lambda_1}^{\lambda_2} B(\lambda,T) \, \mathrm{d}\lambda

    where B(\lamba,T) is the Planck function

    b) \int_{0}^{\infty} B(\lambda,T) \cdot f(\lambda) \, \mathrm{d}\lambda

    Is this correct? I am confused as to whether I should be multiplying inside the integrand or doing some kind of convolution in Fourier space or something?


    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
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