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Formulae for Physics 317L
Optics
•
Index of refraction
n
c
n
λ
υ
0
=
=
•
Snell’s law of refraction:
2
2
1
1
sin
sin
θ
n
n
=
•
Critical angle for total internal reflection:
1
2
sin
n
n
c
=
•
Mirror and thin lens equation:
f
s
s
1
'
1
1
=
+
, where
0
'
>
s
/0
'
<
s
for real/virtual image,
0
>
f
/
0
<
f
for converging/diverging
mirror or lens, and
2
R
f
=
for a spherical mirror
•
Lateral magnification
s
s
h
h
M
'
'
−
=
=
•
Conditions for constructive/destructive interference for a double
slit:
m
d
=
bright
sin
and
()
2
1
sin
dark
+
=
m
d
•
Single slit diffraction:
m
d
=
dark
sin
•
Small angle approximation in single and double slit experiment:
L
y
=
≈
tan
sin
•
Condition for maxima for a grating:
m
d
=
bright
sin
•
Phase change due to reflection: 180
°
from denser medium (larger
n
) and 0
°
from lighter medium (smaller
n
)
•
Malus’ law for polarized light:
2
0
cos
I
I
=
•
Unpolarized light through a polarizer:
2
0
I
I
=
•
Rayleigh’s criterion for a circular aperture:
D
22
.
1
min
=
Electromagnetism
•
Coulomb’s law:
2
2
1
r
Q
Q
k
F
e
=
•
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This note was uploaded on 09/27/2010 for the course PHY 58650 taught by Professor Yao during the Fall '10 term at University of Texas.
 Fall '10
 YAO

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