43, 51 47, 51 Reflection by thin layers. In Fig. 35-42,

Chapter , Problem 41

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43, 51 47, 51 Reflection by thin layers. In Fig. 35-42, 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.) The waves of rays r1 and r2 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- 2 refers to the indexes of refraction n1, n2, and n3, the type of interference, the thin-layer thickness L in nanometers, and the wavelength l in nanometers of the light as measured in air. Where l 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. SSM ! ! ILW n1 n2 n3 L r1 i r2 Figure 35-42 41 through 52. Table 35-2 41 through 52: Reflection by Thin Layers. See the setup for these problems. n1 n2 n3 Type L l 41 1.68 1.59 1.50 min 2nd 342 42 1.55 1.60 1.33 max 285 43 1.60 1.40 1.80 min 200 44 1.50 1.34 1.42 max 2nd 587 45 1.55 1.60 1.33 max 3rd 612 46 1.68 1.59 1.50 min 415 47 1.50 1.34 1.42 min 380 48 1.60 1.40 1.80 max 2nd 632 49 1.32 1.75 1.39 max 3rd 382 50 1.40 1.46 1.75 min 2nd 482 51 1.40 1.46 1.75 min 210 52 1.32 1.75 1.39 max 325