Nonlinear Optics
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| + | '''29 Mar:''' Nonlinear propagation code posted below. Try it out, and I'll be assigning some modifications for you to do. No new homework due next week - work on your projects. | ||
| + | On HW 7, in my opinion, the alpha's should be the same in both equations, and the kappas too. The solutions are considerably simpler in this case. | ||
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'''28 Mar:''' HW 7 notes: The most direct way to solve these problems is to set up a matrix solution. ***There is a typo in problem 7.5: the phase mismatch term in the second equation should be positive. With that fixed, look at redefining A3 and A4 to include some of that phase variation: e.g. <math>A3 = A3' Exp[i Dk z/2]</math> | '''28 Mar:''' HW 7 notes: The most direct way to solve these problems is to set up a matrix solution. ***There is a typo in problem 7.5: the phase mismatch term in the second equation should be positive. With that fixed, look at redefining A3 and A4 to include some of that phase variation: e.g. <math>A3 = A3' Exp[i Dk z/2]</math> | ||
Revision as of 00:22, 30 March 2007
| Main Page | > | Physics Course Wikis |
Contents |
Course Information
Professor: Chip Durfee
Office: Meyer Hall 330
Meeting Times and Location: Meyer Hall 357: Tuesday, Thursday 11:00-12:15
Office hours: Mondays 1-4 and Thursdays 12:15 - 2:15
Announcements
29 Mar: Nonlinear propagation code posted below. Try it out, and I'll be assigning some modifications for you to do. No new homework due next week - work on your projects. On HW 7, in my opinion, the alpha's should be the same in both equations, and the kappas too. The solutions are considerably simpler in this case.
28 Mar: HW 7 notes: The most direct way to solve these problems is to set up a matrix solution. ***There is a typo in problem 7.5: the phase mismatch term in the second equation should be positive. With that fixed, look at redefining A3 and A4 to include some of that phase variation: e.g. A3 = A3'Exp[iDkz / 2]
24 Mar: Homework 7 posted below, due next tuesday. Just two problems from the book. Use time to work on your projects. Be sure to see me if you need help with them. Office hours Monday from 1-4.
8 Mar: I've agreed to a request that people can turn in the midterms by tuesday next week.
A couple of remarks about the midterm:
Molecules of this type will in general have both electronic response (like atoms do) and a rotational response. The section in the book on rotational effects ignores the electronic response entirely, since for the conditions considered there, it is a much bigger effect than the electronic. What I'm looking for in problem 2 is a physical explanation of what conditions we must have so that we can ignore the rotational response and only consider the electronic response.
In problem 3, note there is an r.r term, i.e. x^2 + y^2 + z^2. Remember that the subindices in the chi's refer to the directions of the fields. If there is no z component for the tensor component you're looking for, that z^2 goes to zero.
5 Mar: Clarified problem 7, some clarifications to others. This is the final version, though I'll post any hints if necessary. Email me with questions. Remember - we have class Tuesday, but not Thursday. I will be at the APS this afternoon. I'll be in my office this morning and tomorrow after class.
4 Mar: Reworded some of the midterm problems. Be sure to use the current version.
3 Mar: Adjusted problem 4 on midterm.
2 Mar: Take home midterm: Posted below. Due by 5pm next Friday. It may need some revisions or clarifications, so please email me with any questions over the weekend. Except for clarifications, the test will be in it's final form by monday morning. This is a solo test - you may use books, your/my notes, my hw solutions but not discuss with anyone else but me. Any clarifications or hints I give to anyone I'll post here in this space.
Project summaries: by 9 March (before break), write up a 1 page summary of what you intend to do for your project, along with at least 3 references that you will use. I'll go over these and help you to define some calculations that you can do for the project.
Some of the homework solutions are posted in the Forum section. I'll get more of them up soon, after I put the take home midterm together. I've got Eric and Jody on the list. Left to join the Forum are Dan, Rachel, Lisa, and David.
28 Feb: I've posted the reading from Loudon in the Forum section. If you can't get in, you need to register, then let me know, and I'll add you to the list. The people taking the class that I don't see are: Dan, Eric, Rachel, Lisa, Jody, and David. If you are auditing, you can have access too - let me know.
26 Feb: Notes are posted below.
On Boyd problem 4.7, you should use the methods we developed in Ch1 to do a perturbative analysis of the response of the electrons. A neutralizing background of ions is assumed here, so that when the field is moving the electrons around, the induced dipole moment results from charge separation. Your perturbation expansion will have terms for x and for z - it is easiest to keep those equations separate.
In problem 4.8, do a simple calculation of the B-integral where you assume that the intensity of the Gaussian beam is not affected by the nonlinearity.
23 Feb: HW 6 is posted. Yet another shift in office hours on monday due to ever increasing meeting load. It will now be from 12-3.
19 Feb: Please note that due to another meeting at 4, I have to shift my office hours to 1-4 today.
18 Feb:
- There was a typo on problem 2: the SHO wavefunction should have a dimensionless argument HermiteH[n,x/x0]. I also fixed the normalization. These changes are now made in the assignment. See Griffiths Chapter 2 for a nice discussion of the SHO.
- Also, there is a major change in problem 3c that I have made: the answer to the problem as originally posed is misleading unless you perform all the permutations. You can do the operations in Mathematica, and the technique is now shown in the reworded problem. You may wish to look at the discussion on pages 204-208 to see how this permutation operation is implemented.
17 Feb: HW 5 is posted below. See any intermediate quantum book, e.g. Griffiths ch2 for a description of the simple harmonic oscillator solutions. Notes for this week are posted.
12 Feb: I worked to clarify the wording for problem 3. It is reposted. Notes from last week are posted below. There is another candidate for a faculty position here to give a talk, and I need to go to that at 4. Office hours from 1-4 today.
8 Feb: I have copies of reading from Agrawal's nonlinear fiber optics book - you can pick them up in my office. If you have a copy of the book, it's the first 3 sections from chapter 2. Homework 4 is posted below.
5 Feb: Notes for last week are now posted. On the homework, problem 2, you may calculate a deff from the value of chi given in problem 1.1 in the book. For this estimate, you don't need to get it exact (I don't want you to go through the work of calculating the phase matching angle, then calculating deff for that angle). For the refractive indices at the different wavelengths, you can either look it up or just use 1.5 for each of them for the estimate.
4 Feb. Correction for Sellmeier definitions is in the HW3 posting.
3 Feb: HW 3 is posted. sorry for the delay.
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.
 These downloads require Adobe Acrobat Reader
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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.
Lecture Notes
These downloads require Adobe Acrobat Reader
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Mathematica Demos
These aren't actually pdf's. Do a "save link as" to save these to your computer, then open with Mathematica.
These downloads require Adobe Acrobat Reader
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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
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
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
- 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.
- opticsinfobase & osa Dan Adams (2/22) These articles describes the process of measuring ultrashort light pulses by using a frequency resolved optical gate that consists of a nonlinear crystal. Many types of this device exist and have been cited in class.
Imaging with Harmonic Generation
- J. Squier, M. Muller, Applied Optics V38 p5789-5794 (1999) "Third-Harmonic generation imaging of laser-induced breakdown in glass," On Campus Link (Hrin 1/31/07)-A description of how harmonic generation can be used to image sub-micron structures and features.
- Kuang Yao Lo, Juh Tzeng Lue, Physical Review B V 51 (4) p2467-2472 (1995) "Quantum size effect on optical second-harmonic generation in small metal particles," On Campus Link (Hrin 2/21/07)-Theoretical and experimental work looking at SHG from quantum confined systems
Stimulated Brillouin Scattering
- V. I. Kovalev and R. G. Harrison, Opt. Lett. 30, 3389-3391 (2005) "Origin of temporally stable continuous-wave Stokes emission in stimulated Brillouin scattering: evidence of spectral self-phase conjugation," Kovalev & Harrison (2005) (Hoffman 2/27/07)- Useful Article talking about SBS and phase conjugation.
- A. A. Fotiadi, P. Mégret, and M. Blondel, Opt. Lett. 29, 1078-1080 (2004) "Dynamics of a self-Q-switched fiber laser with a Rayleigh-stimulated Brillouin scattering ring mirror," Fotiadi, Mégret, & Blondel (2004) (Hoffman 2/27/07)- Interesting Article using SBS to Q-switch a fiber laser.
Nonlinear Surface Plasmons
- D. Sarid, Appl. Phys. Lett. 39, 889 (1981) "The nonlinear propagation constant of a surface plasmon," Sarid (1981) (Perzinski 3/29/2007)-A description for an expression for the change in the propagation constant.
- D. Sarid, R. T. Deck, and J. J. Fasano, J. Opt. Soc. Am. 72, 1345- (1982) "Enhanced nonlinearity of the propagation constant of a long-range surface-plasma wave," Sarid (1982) (Perzinski 3/29/2007)-A description of the propagation constant as a function of the thickness of the metal film bounded by a nonlinear semiconductor.
- H. J. Simon, D. E. Mitchell, and J. G. Watson, Phys. Rev. Lett. 33, 1531 - 1534 (1974), "Optical Second-Harmonic Generation with Surface Plasmons in Silver Films," Simon (1974) (Perzinski 3/29/2007)-First experimental investigation of coupling SHG to surface plasmons on silver films.
Other course Links
JavaOptics: a nice collection of optics-related demonstrations
