8/24/2011
Optics I : Phys 3232
Prof. Michael Chapman
Fall 2011
The 411
Lecture
Tuesday, Thursday : 12:051:25 pm
Prof Chapman office hours
Before lecture, Room N-010
(just down the hall)
[email protected]
404-894-5223 (office)
678-231-3678 (cell)
11/28/2011
Diffraction and the Fourier Transform
Light bends!
Diffraction assumptions
Solution to Maxwell's Equations
The near field
Fresnel Diffraction
Some examples
The far field
Fraunhofer Diffraction
Some examples
Youngs two-slit experiment
Prof
11/2/2011
Multilayer films: optical coatings
Multilayer dielectric films or optical
coatings are widely used in optics to make
optical surface of almost arbitrary
reflectance or transmittance.
Metallic coatings such as silver and aluminum
are limited to
11/2/2011
Cavity QED
Taco Cat
Atom-EM Field Interactions
Atom - light interactions are fundamental and ubiquitous
1
11/2/2011
Atom-EM Field Interactions
Two physical pictures
Coherent
Strong classical (laser) fields
Stochastic
Single photon emission, etc.
10/30/2011
True fact: Einsteins brain was
1/3 smaller than the average
humans
Fabry-Perot cavities
Reading:
Steck, Ch. 7
Fowles, Ch. 4
Consider a reflective surface (mirror)
Consider a mirror
The reflected electric field is characterized
by a coefficien
10/23/2011
Gaussian beams
Reading: Steck, Ch. 6
Gaussian beams
Simplest case of directed beams that
satisfy Maxwells equations
Represent the output of many lasers
Transverse intensity distribution is a 2D
gaussian function
Characterized by a width (th
9/21/2011
Geometrical Optics
Prof. Rick Trebino, Georgia Tech
Geometrical light rays
Ray matrices and ray vectors
Matrices for various optical
components
The Lens Makers Formula
Imaging and the Lens Law
Mapping angle to position
Cylindrical lenses
Aberrat
9/27/2011
Optical instruments
Eye
Magnifying lens
Microscope
Telescope
Hall Mirror
Useful to think in terms of images
real you
mirror only
needs to be half as
high as you are tall. Your
image will be twice as far from you
as the mirror.
image you
1
9/27/
9/15/2011
Geometrical Optics
Optics I : Phys 3232
Prof. Michael Chapman
Geometrical Optics
Reflection and refraction at
curved surfaces
Paraxial approximation
Lenses
Thin Lenses
Aberrations
Optical instruments
Eye
Imaging systems
Magnifying lenses
T
9/15/2011
The Brewster angle
1.0
Brewsters angle
Find angle from setting the
numerator of the reflection
coefficient to zero
RS
RP
0.8
Reflectance
At a certain angle, no Ppolarized light is reflected
from the surface
R p = rp
2
0.6
Brewster's angle
0.4
9/10/2011
Fresnel Equations
Optics I : Phys 3232
Prof. Michael Chapman
Reflection and refraction at a plane
boundary
Snells law
Fermats principle
E-M boundary conditions
Amplitude of reflected and
refracted wave
TE vs. TM polarization
Fresnel equatio
9/6/2011
Jones vectors and matrices
The general form of E0 is
E0x and E0y are complex
It is convenient to write this
in matrix notation as a two
column vector
E = E0ei ( kz t )
E0 = E0 x + E0 y
j
i
E0 x = E0 x eix
E0 y = E0 y e
i y
The Jones vector
9/6/2011
Spherical wave
Can show that the following
function satisfies wave
equation
This is a spherical wave
E=
E0
cos(kr t )
r
I E2 =
The intensity follows
E02
2r 2
Falls off as 1/r2
inverse square law
Polarization of light
The polarization of lig
8/30/2011
The vector nature of light
Optics I : Phys 3232
Prof. Michael Chapman
The vectorial nature of light
The relationship between E,
B and k
Energy flow: the Poynting
vector
Linear polarization
Circular polarization
1
8/30/2011
The relationship b
8/30/2011
Group velocity
Consider two waves
traveling in the same
direction with slightly
different frequencies
And hence slightly different kvectors also
Calculate the superposition
U1 = U 0 cos[(k + k ) z ( + )t ]
U 2 = U 0 cos[(k k ) z ( )t ]
U = U1
8/26/2011
The propagation of light
Optics I : Phys 3232
Prof. Michael Chapman
The propagation of light
The nature of light
The wave equation
The speed of light
Plane harmonic waves
Phase velocity
Alternative representations
of harmonic waves
Group veloci
11/28/2011
More diffraction
Reading:
Fowles, Ch. 5
Test #2
Histogram of grades
Correct your test and return
tomorrow by 5 pm
Average: 73 pts.
High score: 98 pts.
8
# of students
6
4
2
0
0
20
40
60
Test score (100 pts max)
80
100
1
11/28/2011
Diffraction