When light is incident normally on the interface between two transparent optical media, the intensity of the reflected light relative to that of the incident light is given by the expression below, in which S, represents the average magnitude of the Poynting vector in the incident light (the incident intensity), S', is the reflected intensity, and n, and n, are the refractive indices of the two media. 2 n, - n, n2 + n, (a) For light normally incident on an interface between vacuum and a transparent medium of index n, show that the intensity S, of the transmitted light is given by the following equation. (Submit a file with a maximum size of 1 MB.) 4n (n + 1)2 Choose File No file chosen (b) Light travels perpendicularly through a slab of gallium phosphide, surrounded by air, with parallel surfaces of entry and exit. Apply the transmission fraction in part (a) to find the approximate overall percent transmission through the slab of gallium phosphide. Ignore light reflected back and forth within the slab. %

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter25: Reflection And Refraction Of Light
Section: Chapter Questions
Problem 49P: When light is incident normally on the interface between two transparent optical media, the...
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a) For light normally incident on an interface between vacuum and a transparent medium of index n, show that the intensity S2 of the transmitted light is given by the following equation.

b) Light travels perpendicularly through a slab of gallium phosphide, surrounded by air, with parallel surfaces of entry and exit. Apply the transmission fraction in part (a) to find the approximate overall percent transmission through the slab of gallium phosphide. Ignore light reflected back and forth within the slab.

When light is incident normally on the interface between two transparent optical media, the intensity of the reflected light relative to that of the incident light is given by the
expression below, in which S, represents the average magnitude of the Poynting vector in the incident light (the incident intensity), S', is the reflected intensity, and n,
and
n, are the refractive indices of the two media.
2
n, - n,
n2 + n,
(a) For light normally incident on an interface between vacuum and a transparent medium of index n, show that the intensity S, of the transmitted light is given by the
following equation. (Submit a file with a maximum size of 1 MB.)
4n
(n + 1)2
Choose File No file chosen
(b) Light travels perpendicularly through a slab of gallium phosphide, surrounded by air, with parallel surfaces of entry and exit. Apply the transmission fraction in part (a)
to find the approximate overall percent transmission through the slab of gallium phosphide. Ignore light reflected back and forth within the slab.
%
Transcribed Image Text:When light is incident normally on the interface between two transparent optical media, the intensity of the reflected light relative to that of the incident light is given by the expression below, in which S, represents the average magnitude of the Poynting vector in the incident light (the incident intensity), S', is the reflected intensity, and n, and n, are the refractive indices of the two media. 2 n, - n, n2 + n, (a) For light normally incident on an interface between vacuum and a transparent medium of index n, show that the intensity S, of the transmitted light is given by the following equation. (Submit a file with a maximum size of 1 MB.) 4n (n + 1)2 Choose File No file chosen (b) Light travels perpendicularly through a slab of gallium phosphide, surrounded by air, with parallel surfaces of entry and exit. Apply the transmission fraction in part (a) to find the approximate overall percent transmission through the slab of gallium phosphide. Ignore light reflected back and forth within the slab. %
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