Page 254 - Modern Optical Engineering The Design of Optical Systems

234 Chapter Ten

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Exercises
1 (a) What is the transmission of a stack of thin plane parallel plates of glass
(n = 1.5) at normal incidence?
(b) What percentage of the incident light is transmitted directly, i.e., without
any intervening reflections?
ANSWER:
2
(a) Using Eq. 10.6 T 2n/(n 1) 3/3.25 0.92307692
1
2
2
Using Eq. 10.7 R (n 1) /(n 1) 0.25/3.25 0.07692308
1
2
Using Eq. 10.5 T T T K/(1 K R R ) and:
1.2 1 2 1 2
T T ; R R ; K 1.0
1 2 1 2
T 0.8571428
1.2
R 1 T 0.1428572
1.2 1.2
2
Using Eq. 10.5 T T T K/(1 K R R ) and: T T ; R R
1.2,3 1.2 3 1.2 3 3 1 3 1
T 0.80
1.2,3
(b) Neglecting multiple reflections:
2
2
Using Eq. 10.7 R (n 1) /(n 1) 0.04
T 1 R 0.96
6
Through 6 surfaces: T 0.96 0.782758
2 If a 1-cm thickness of a material transmits 85 percent and a 2-cm thickness
transmits 80 percent, (a) what percentage will a 3-cm-thick piece transmit?
(b) What is the absorption coefficient of the material? (Neglect all multiple
reflections.)