All Problems

Photometry and Geometrical Optics

Problem 5.1

Making use of the spectral response curve for an eye (see Fig. 5.1 , find: (a) the energy flux corresponding to the luminous flux of 1.0 lm1.0 \mathrm{~lm} at the wavelengths 0.51 and 0.64μm0.64 \mu \mathrm{m} (b) the luminous flux corresponding to the wavelength interval from 0.58 to 0.63μm0.63 \mu \mathrm{m} if the respective energy flux, equal to Φe\Phi_{e} =4.5 mW,=4.5 \mathrm{~mW}, is uniformly distributed over all wavelengths of the interval. The function V(λ)V(\lambda) is assumed to be linear in the given spectral interval.

Reveal Answer
5.1. (a) 3 and 9 mW9 \mathrm{~mW}; (b) Φ=1/2(V1+V2)Φe/A=1.6 lm\Phi={ }^{1} /_{2}\left(V_{1}+V_{2}\right) \Phi_{e} / A=1.6 \mathrm{~lm} where A=1.6 mW/lm,V1A=1.6 \mathrm{~mW} / \mathrm{lm}, V_{1} and V2V_{2} are the values of relative spectral response of an eye for the given wavelengths.