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Optics for Engineers
book

Optics for Engineers

by Charles A. DiMarzio
August 2011
Intermediate to advanced content levelIntermediate to advanced
564 pages
20h 45m
English
CRC Press
Content preview from Optics for Engineers
POLARIZED LIGHT 143
6.4.1 Snell’s Law
When we apply the boundary conditions, we recognize that they must apply along the entire
boundary, which means they are independent of y. Therefore the transverse components of kn
should be constant across the boundary,
kn
1
sin θ
i
= kn
1
sin θ
r
= kn
2
sin θ
t
, (6.43)
with the results that
θ
i
= θ
r
n
1
sin θ
i
= n
2
sin θ
t
. (6.44)
Thus, Snell’s law can be derived directly from the boundary conditions, and specically from
the preservation of nk sin θ across the boundary.
6.4.2 Reflection and Transmission
Equation 6.40 requires that there be no change in the transverse component of E.ForS
polarization, E is completely transverse, and ...
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Publisher Resources

ISBN: 9781439807255