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 \(1.0 \mathrm{~lm}\) at the wavelengths 0.51 and \(0.64 \mu \mathrm{m}\) (b) the luminous flux corresponding to the wavelength interval from 0.58 to \(0.63 \mu \mathrm{m}\) if the respective energy flux, equal to \(\Phi_{e}\) \(=4.5 \mathrm{~mW},\) is uniformly distributed over all wavelengths of the interval. The function \(V(\lambda)\) is assumed to be linear in the given spectral interval.

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