MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 8, Problem 35P

The transmission of light through a transparent solid can be described by the equation:

I T = I 0 ( 1 R ) 2 e β L where ITis the transmitted intensity, I0is the intensity of the incident beam. is the absorption coefficient, I. is the length of the transparent solid, and R is the fraction of light which is reflected at the interface, lithe light is normal to the interface and the beams are transmitted through air, R = n 1 n + 1 2 where n is the index of refraction for the transparent solid.

Experiments measuring the intensity of light transmitted through specimens of a transparent solid of various lengths are given in the following table. The intensity of the incident beam is 5 W/m2.

    L(cm) 0.5 1.2 1.7 2.2 4.5 0.6
    IT(W/m2) 4.2 4 3.8 3.6 2.9 2.5

Use this data and curve fitting to determine the absorption coefficient and index of refraction of the solid.

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