Question

h=1 K d COSBE ?? A=1 d e ?? d Consider the picture on the left, of light reflecting from a flat sheet of glass of thickness d and index of refraction n. 2d tan(??)sin(??) The incident angle is ??. The internal angle is ??. Bi ?? Let r be the reflection coefficient for external rays reflecting off the glass and let r' be the coefficient for internal reflection within the glass. Let t be the transmission coefficient for rays entering and t' be the coefficient for rays exiting. a) Show that the phase delay (associated with the extra path length indicated by the purple arrow) of the back surface reflected ray relative to the front surface reflected ray is given by: ? = \frac{4? n d cos(??)}{?} b) Reproduce the steps in the derivation of Equation 9.62 in Hecht. I_t 1 ? --- = -------- I_i 1 + F sin^2(\frac{?}{2}) (9.62)

          h=1
K
d
COSBE
??
A=1
d
e
??
d
Consider the picture on the left, of light
reflecting from a flat sheet of glass of
thickness d and index of refraction n.
2d tan(??)sin(??) The incident angle is ??. The internal
angle is ??.
Bi
??
Let r be the reflection coefficient for
external rays reflecting off the glass and
let r' be the coefficient for internal
reflection within the glass.
Let t be the transmission coefficient for rays entering and t' be the coefficient for rays
exiting.
a) Show that the phase delay (associated with the extra path length indicated by the
purple arrow) of the back surface reflected ray relative to the front surface reflected
ray is given by:
? = \frac{4? n d cos(??)}{?}
b) Reproduce the steps in the derivation of Equation 9.62 in Hecht.
I_t
1
?
--- = --------
I_i
1 + F sin^2(\frac{?}{2})
(9.62)

$h=1 K d COSBE ?? A=1 d e ?? d Consider the picture on the left, of light reflecting from a flat sheet of glass of thickness d and index of refraction n. 2d tan(??)sin(??) The incident angle is ??. The internal angle is ??. Bi ?? Let r be the reflection coefficient for external rays reflecting off the glass and let r' be the coefficient for internal reflection within the glass. Let t be the transmission coefficient for rays entering and t' be the coefficient for rays exiting. a) Show that the phase delay (associated with the extra path length indicated by the purple arrow) of the back surface reflected ray relative to the front surface reflected ray is given by: ? = (4? n d cos(??))/(?) b) Reproduce the steps in the derivation of Equation 9.62 in Hecht. It 1 ? — = ——– Ii 1 + F sin^2((?)/(2)) (9.62)$

Added by Benjamin H.

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