Answer to Question #285882 in Optics for Naval

Question

A long narrow slit of width 50  m is covered by a thin slide of glass of refractive index 1.5 and thickness of 0.5

 m, so that it covers half the slit from 0 to 25  m. Calculate the corresponding Fraunhofer diffraction pattern

when the slit is illuminated by a normally incident plane wave of wavelength 0.5  m.

Answer 1

$\Delta x=\frac{d-\frac d2}{2s(n-1)}\lambda=\frac{0.5\cdot 50\cdot 10^{-6}\cdot 0.5\cdot 10^{-6}}{2\cdot 0.5\cdot 0.5\cdot 10^{-6}}=25~\mu m .$