All Problems

Interference of Light

Problem 5.82

Diffused monochromatic light with wavelength λ=0.60μm\lambda=0.60 \mu \mathrm{m} falls on a thin film with refractive index n=1.5n=1.5. Determine the film thickness if the angular separation of neighbouring maxima observed in reflected light at the angles close to θ=45\theta=45^{\circ} to the normal is equal to δθ=3.0\delta \theta=3.0^{\circ}.

Reveal Answer
d=λn2sin2θsin2θδθ=15μmd=\lambda \frac{\sqrt{n^{2}-\sin ^{2} \theta}}{\sin 2 \theta \cdot \delta \theta}=15 \mu \mathrm{m}