UW Physics



Physics 325
Wave motion and optics
spring semester 2017
MWF 2:25  3:15 pm in 2425 Sterling,
Final Exam Sunday May 7, 10:05am  12:05 pm in 2104 Chamberlin
Office hours: T,W,Th 910 in 5330 Chamberlin.
Or by appointment (send an email), or just stop by.
Mark Saffman
Department of Physics office: 5330 Chamberlin
tlf: 265 5601
email: msaffman@wisc.edu
web: hexagon.physics.wisc.edu



This course will give an intermediate level treatment of waves and wave motion, primarily electromagnetic and optical waves. Techniques for producing, modifying and measuring optical waves as well as applications to imaging, sensing, and communications will be discussed.
Catalog course description: Wave phenomena with specific applications to waves in media and electromagnetic phenomena. Wave equations, propagation, radiation, coherence, interference, diffraction, scattering. Light and its interactions with matter, geometrical and physical optics. Experiments for this course are covered in Physics 308.
Prerequisites Physics 205, 241, or 244, and Physics 311. Physics 322 or concurrent enrollment recommended.
The course textbook is J. Peatross and M. Ware Physics of light and optics. Available as a free download from optics.byu.edu/textbook.aspx
It can be purchased in a printed bound form from http://www.lulu.com/product/paperback/physicsoflightandoptics/14241717.
Optics books and physics library course reserves
The textbook will be supplemented by material from Optics for Physicists (O.f.P.) which will be provided as a download from this webpage.
O.f.P.  Optics for Physicists (updated 2017.04.24) (material on temporal and spatial coherence added at the end of Ch. 2, corrected p. 143 concerning resonator resonance frequencies)
Syllabus (updated 2017.04.26)
week 
lecture 

date 
topic 
reading in P&W 
reading in O.f.P. 
HW out 
HW due 
1 
1 introduction 
W 
Jan 18 
Introduction, Optics Waves & photons, periodic waves 
Ch. 0,1,2,3 skip 0.4, 2.3, 2.4 
Ch. 1 



2 
F 
Jan 20 
wave equation, Poynting vector, energy and momentum transport, start refractive index 


1 

2 
3 
M 
Jan 23 
negative refractive index, polarization, polarizers, waveplates, angular momentum, start Fresnel coefficients 
Ch. 6 




4 
W 
Jan 25 
beamsplitter, Brewster's angle, start total internal reflection 





5 
F 
Jan 27 
total internal reflection, tunneling, optical components, Dove prism 
Ch. 4 
Ch. 2 
2 
1 
3 
6 
M 
Jan 30 
interference of plane and spherical waves, visibility, interferometers 





7 FP resolution 
W 
Feb 1 
FabryPerot interferometer, Finesse, resolution, a little on LIGO 





8 Sagnac 
F 
Feb 3 
Etalon, Sagnac interferometer, practice problems, math quiz 


3 
2 
4 
9 
M 
Feb 6 
Fourier analysis math, broadband fields, FT Spectrometer 
Ch. 0.4 
Ch.13 



10 
W 
Feb 8 
antireflection and high reflection coatings, multilayer coatings 





11 
F 
Feb 10 
Ray propagation, ray matrices, imaging, concave mirror 
Ch. 9 
Ch. 3 
4 
3 
5 
12 
M 
Feb 13 
compound lens, principal planes, brightness 





13 
W 
Feb 15 
aberrations, imaging instruments: the eye, microscope 





14 
F 
Feb 17 
telescope, solid angle, eikonal equation 
Ch. 10 
Ch. 4 
5 
4 
6 
15 
M 
Feb 20 
Fourier optics, Fresnel diffraction,transfer function 





16 
W 
Feb 22 
Fresnel impulse response, Fraunhofer diffraction, start rectangular aperture 





17 
F 
Feb 24 
Rectangular aperture, Cornu spiral, compare Fresnel & Fraunhofer, RayleighSommerfeld theory 
Ch. 11 


5 
7 
18 
M 
Feb 27 
lens and Fourier transform, Hankel transform, diffraction in ABCD system, Airy disk 





19 
W 
Mar 1 
midterm review 






F 
Mar 3 
In class midterm I 


6 

8 
20 
M 
Mar 6 
spot of Arago, Fresnel zones, zone plate, Talbot effect 

Ch. 5 



21 
W 
Mar 8 
Fourier tansform of a repeated object, Fourier optical processing with 4f configuration 





22 Diffraction gratings 
F 
Mar 10 
solve midterm, Diffraction grating resolving power 


7 

9 
23 
M 
Mar 13 
Blazed grating, Spectrometer. Gaussian beam fundamental solution. 

Ch. 6 

6 

24 
W 
Mar 15 
Review hw6 solutions, Gaussian beams: HG, LG modes 
Ch. 8 




25 
F 
Mar 17 
Gaussian beam lens transformation, imaging. Gaussian beam at aperture and focusing, zoom lens. 



7 
............................................................................... Spring Break March 2024 ................................................................................................................. 
10 
26 
M 
Mar 27 
optical resonators, stability conditions 
Ch. 13 
Ch. 7 
8 


27 
W 
Mar 29 
optical resonator resonance frequencies for higher order modes, ring resonators, optical coherence  time domain 





28 
F 
Mar 31 
optical coherence  spatial domain, Michelson stellar interferometer 


9 
8 
11 
29 Blackbody radiation 
M 
Apr 3 
Sources of radiation, thermal blackbody radiation 





30 
W 
Apr 5 
Equilibrium of radiation and matter, Einstein A,B coefficients, absorption area law 





31 
F 
Apr 7 
Absorption lineshape for narrowband radiation, saturation 
Ch. 12 


9 
12 
32 
M 
Apr 10 
review for midterm II 
Ch. 7 
Ch. 9, 10 




W 
Apr 12 
In class midterm II 





33 
F 
Apr 14 
midterm solutions, scattering rate, refractive index 


10 

13 
34 
M 
Apr 17 
fields from moving charges, refractive index of bound electrons 





35 
W 
Apr 19 
refractive index of plate, light scattering from spheres, intensity dependent refractive index 





36 
F 
Apr 21 
nonlinear wave equation, quadratic nonlinearity, second harmonic generation, conversion efficiency 


11 
10 
14 
37 
M 
Apr 24 
BoydKleinman theory, quasi phase matching, introduction to fiber optics 

Ch. 11 



38 Fiber optics 
W 
Apr 26 
modes in 1D slab waveguide, mirror boundary conditions, 1D and 2D dielectric waveguides 





39 
F 
Apr 28 
fiber link design, signals and noise, photodetection, direct and heterodyne, 

Ch. 12 
12 
11 
15 
40 
M 
May 1 
topics for final, light modulation, piezo, AOM 





41 
W 
May 3 
AOM time bandwidth product, EOM 





42 
F 
May 5 
finish EOM, PDH locking 



12 


S 
May 7 
Final Exam Sunday May 7, 10:05am  12:05 pm in 2104 Chamberlin 




Grading: HW 50%, midterms 25%, final 25%
Notes on various topics:
Physical constants (updated 2015.09.03) if you want all the details here are the CODATA 2010 recommended values
Conversion between Gaussian and SI units (updated 2009.01.20)
Mathematical formulae (updated 2015.11.09)
Fourier analysis
Ray matrices
Some interesting papers related to the course:
Mendelson Story of c 2006
Taylor feeble interference 1909
Michelson stellar interferometer 1921
Homework
Homework will count for approximately 50% of your grade. You are encouraged to work with others on solving the HW problems but you must turn in your own work  not a copy of work done by others. It is encouraged to use software such as Mathematica or Matlab for the homework. It is perfectly acceptable to turn in your homework solutions in the form of a Mathematica notebook. Homework is due printed on paper at the beginning of class on the assigned date. Late homework will only be accepted if you have received prior permission to turn it in late.
Most homework problems are worth 3 points which will be awarded as follows:
3  Correct solution or minor errors.
2  Substantial effort but missing some important parts of the solution.
1  Limited effort, far from correct.
0  No effort, or insignificant attempt.
Assignments and solutions will be provided via email.
Links to useful information:
Optics on the web:
Daniel Steck optics notes
Optical Society of America
European Optical Society
SPIE
Other resources:
Math World
Wolfram function site
Digital library of mathematical functions
Abramowitz & Stegun Handbook of Mathematical Functions
Integrals on the web
Matrix solver for linear equations on the web
ClebschGordan calculator
6j symbol calculator
Periodic table
NIST Physical reference data
Wikipedia  optics
Physics World
