Walker, Halliday & Resnick — Interference: Problem 22

13 through 24 Transmission through thin layers. In Fig. 35-23, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) Part of the light ends up in material 3 as ray r3 (the light does not reflect inside material 2) and r4 (the light reflects twice inside material 2). The waves of r3 and r4 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35-3 refers to the indexes of refraction n1, n2, and n3, the type of interference, the thin-layer thickness L in nanometers, and the wavelength \(\lambda\) in nanometers of the light as measured in air. Where \(\lambda\) is missing, give the wavelength that is in the visible range. Where L is missing, give the second least thickness or the third least thickness as indicated. Problem 22 data from Table 35-3: \(n_1 = 1.50\), \(n_2 = 1.29\), \(n_3 = 1.42\), Type = max, \(L = 380\text{ nm}\), \(\lambda = ?\)