Chapter 35, Problem 57P

57 through 68 GO 64, 65 SSM 59 Transmission through thin layers. In Fig. 35-43, 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

Figure 35-43 Problems 57 through 68.

	n1	n2	n3	Type	L	λ
57	1.55	1.60	1.33	min	285