Nonlinear Optics

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Course Information

Professor: Dr. Chip Durfee

Office: Meyer Hall 330

Meeting Times and Location: Meyer Hall 357: Tuesday, Thursday 11:00-12:15

Announcements

29 Jan: Office hours shift today: from 1-4 instead of the usual 2-5 because of the talk at 4 by one of our candidates for the nuclear faculty position. Also, you can put the last problem on the current assignment (problem 2.1 in Boyd) off until the next homework, since we didn't quite get that far in class on Thursday.

27 Jan: I've reposted HW2 to include numbers you can put into the models for some of the numeric problems.

21 Jan: Notes for thursday posted. A reminder for you all to make regular postings for journal articles - let me know if you have questions about how to do it.

19 Jan: I've heard the bookstore didn't order enough books. If you need to borrow a copy, let me know. I'm asking around to see if there are extras among the faculty. I have one extra, if anyone wants one this afternoon.

18 Jan: Optional background lecture today at 4. We'll meet at our normal classroom and see if it's free. Tentative topics are Gaussian vs MKS/SI units, linear wave propagation, polarization states.

17 Jan: Posted notes for tuesday's lecture. These include some notes that I didn't use in class, as there was overlap with the slides I presented on the first day.

16 Jan: Posted course reading list and topic schedule below.

12 Jan: Homework 1 is posted below. Please read the ground rules and let me know what your groups are. Notes from first lecture posted. Please register for the Forum area if you aren't already.

9 Jan: Welcome to the new Wiki page for Nonlinear Optics! The syllabus is posted below.

Office hours

Monday: 2-5pm.

Thursday: 12:15-2:15 pm

Course Forum, Supplementary Readings, Homework Solutions

open to class members only (auditors ok). If you aren't registered for the forum, follow the directions to register, email me your user name, and I'll put you on the list. Protected Documents for Nonlinear Optics

You may want to open this in a new tab or browser window to keep access to the wiki page.

Course Material

Syllabus and Reading List

Tentative reading list is posted - I'll make changes as we go along, but this will give you an idea of what parts of the book we'll go through.

Pdf.png These downloads require Adobe Acrobat Reader
Syllabus for the course
Reading list and topic schedule

Homework Assignments

Ground rules: work in groups of 3. Email me to let me know what the groups are. If you would like some help finding partners, let me know. Turn in one homework set per group. Everyone in the group gets the same grade. What you turn in must be neat, and written with an appreciation that an actual person (me) has to read and understand it. Midterms and projects will be solo, so you will each need to know the material. If anyone has any concerns about this system, please let me know.

Pdf.png These downloads require Adobe Acrobat Reader
homework 2. Also get the Crystal symmetries.nb, List convolve demo.nb and fft demo.nb files. The current file has more information about what parameters to put into the model.
homework 1

Lecture Notes

Pdf.png These downloads require Adobe Acrobat Reader
Fourier transform sheet: t and omega
Lecture 1: survey slides (courtesy R. Trebino, GaTech (see link below), with changes to units to gaussian
Lecture 2: part 1, nonlinear wave equation and NL effects
Lecture 2: part 2, linear and NL classical model
Lecture 3: symmetries in chi
Lecture 4: time-freq representations
Lecture 5: HHG and NL wave mixing equations


Mathematica Demos

These aren't actually pdf's. Do a "save link as" to save these to your computer, then open with Mathematica.

Pdf.png These downloads require Adobe Acrobat Reader
Lecture 2: map of chi2 vs input frequencies, showing resonance locations
Crystal_symmetries.nb: demonstrate effect of crystal symmetries, calculate angular dependence of deff
List convolve demo.nb: demonstrate numerical convolutions
fft demo.nb: demonstrate numerical Fourier transforms (FFT)
Nonpert_nlo_response.nb: model of time dependent nonlinear response. Includes FFT to show harmonic structure
Hhg_simple_model.nb: kinetic model of electron motion in high-order harmonic generation

Links to literature in nonlinear optics

Each one of you should add references you think would be of general interest to this list - a minimum of one every other week. (Please note that this will be part of your grade...)

Click 'edit' at the right to add references. Include a short description, make a new category if it makes sense. Links only - don't upload actual pdf's please. Put your last name and posting date along with the citation.

Feel free to add to the list of database and journal sites

Database pages

Use these to go to papers where you know the reference, or for searching for related papers

Scitation: American Institute of Physics journals search

Optics Infobase: Optical Society of America journal search

CSM link to physics-related databases. In particular, try Web of Science (online Science Citation Index). This is the best resource for finding papers that are related to each other. I think our access goes back 10 years from present.

Google Scholar

Journal pages

You can go to these to browse current issues or to look up specific references. Journals in bold are (mostly European journals) not indexed through Scitation or Optics Infobase

Optics Letters

Applied Optics

Applied Physics B

Journal of Physics B

Optics Communications

Journal Articles

Development of the theory, historical

  • Midwinter et al, British J. Applied Phys v16 p1135 (1965) "The effects of phase matching method and of uniaxial crystal symmetry on the polar distribution of second-order non-linear optical polarization" Derivation of the variation of dEff in nonlinear crystals with beam direction. (Durfee 1/12/2007) Midwinter (1965)


High-order harmonic generation

  • Corkum, Physical Review Letters V71 p1994 (1993) "Plasma Perspective on strong-field multiphoton ionization" Corkum (1993) (Durfee 1/22/07)-This is one of the first papers with a simple, semi-classical model of high-order harmonic generation and other strong-field effects that take place during tunneling ionization.
  • Kapteyn, Henry: slides from a talk at LLBL (2005) "Coherent XUV Radiation: High-harmonic generation" Kapteyn HHG talk (Durfee 1/23/07) - This is a nice summary of the high-order harmonic generation process and some of the recent developments of the field.


Self-focusing, spatial solitons

  • Malomed et al, J. Opt. B:Quantum Semiclass. Opt. 7 (2005) "Spatiotemporal optical solitons" Malomed 2005 (Thompson 1/25/07)-A recent review article discussing theoretical and experimental aspects of spatiotemporal optical solitons, with an impressive reference list.
  • Neshev et al, Optics Letters V28 p710 (2003) "Spatial solitons in optically induced gratings" On Campus Link (Murrell 1/16/07)-Interesting Paper on a nonlinear optics application from the first lecture.


Ultrafast Nonlinear Optics

  • S. Zhang, et al, Optics Letters V30 p2852-2854 (2005) "Passive mode locking at harmonics of the free spectral range of the intracavity filter in a fiber ring laser," On Campus Link (Murrell 1/29/07)-An experimental writeup on a passivly mode locked ring laser via polarization controllers in the cavity.

Other course Links

JavaOptics: a nice collection of optics-related demonstrations

Lectures from GaTech (Rick Trebino): a very useful collection of graphics and worked examples in optics. One of the courses he has taught is in ultrafast optics - relevant for this course.

Fabry-Perot demonstration

Falstad.com: some nice optics demos

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