Revision as of 00:56, 12 January 2017

Course Information

Professor: Chip Durfee

Office: Timberline 1, office 15

Meeting Times: Tuesday, Thursday 11:00-12:15

Room: Alderson 141

Announcements

11 Jan.: Welcome to Nonlinear Optics!

The first homework is posted below, as are the slides for the first class.

Office hours

Tentative office hours:

Tuesday 1:00-3:00

Wednesday 11:00-12:00 and 1:00 - 3:00

Course Material

Syllabus

These downloads require Adobe Acrobat Reader Syllabus for the course

Reading

Readings from Boyd, unless otherwise noted. 1/12 1.1-1.2

1/17 1.3-1.4

1/19 1.5-1.6

1/24 2.1-2.3

Homework Assignments

These downloads require Adobe Acrobat Reader Homework 1 due end of day Thursday 26 Jan

Take-home midterm

These downloads require Adobe Acrobat Reader

Lecture Notes and Slides 2017

These downloads require Adobe Acrobat Reader Lecture 1: introduction, survey of course

Lecture Notes and Slides 2013

These downloads require Adobe Acrobat Reader Lecture 1: introduction, survey of course Lecture 2: review of linear dispersion theory Lecture 2: nonlinear classical electron response Lecture 3: simple version of second harmonic generation, phase mismatch Lecture 4: birefringence and calculation of angle-dependent index Lecture 5: phase matching and nonlinear tensors Lecture 6: calculation of d_eff and NL mixing equations Lecture 7: NL mixing solutions for sum mixing, SHG and OPA Lecture 8: quasi-phasematching and focusing effects Lecture 9: Fourier transforms Lecture 10: pulse propagation and frequency conversion Lecture 11: pulse characterization and NL index Lecture 12: tensor chi3, Jones Vectors and Nonlinear ellipse rotation Lecture 13: Mechanisms for NL index Lecture 14: review of guided wave propagation (will finish after break) Lectures 15 and 16: slide from Dan Adams' lectures on nonlinear pulse propagation.

Lecture Notes 2011

These downloads require Adobe Acrobat Reader Lecture 1: intro, define NL polarization Lecture 2: classical oscillator model Lecture 2: slides Lecture 3: tensor symmetries Lecture 3: slides Lecture 4: time-dependent chi, mixing propagation equations Lecture 5: polarization, birefringence, waveplates Lecture 6: index ellipsoid, birefringent phase matching Lecture 7: electro-optics, quasi-phasematching Lecture 8: beam crossing, pulse autocorrelation Lecture 9: NL index, tensor chi3, polarization gating and NL ellipse rotation

Mathematica Demos

You can use these as a template for programming you want to do. I would like you to attribute me when you do though. These aren't actually pdf's. Do a "save link as" to save these to your computer, then open with Mathematica. In most cases the output has been deleted to save server space, so you have to run the code to see the output.

I will post updated version of these as we use them. Before using any of the code below, let me know and I'll see if there is a more recent version.

2013 files (these have been updated to run in v8.)

These downloads require Adobe Acrobat Reader Phase_match_KDP.nb: Phase matching program for KDP crystals Mixing_solutions.nb: solutions of simultaneous NL eqns for doubling polarization tools.nb: Jones vectors and matrices for polarization modeling fft demo.nb: demonstrate numerical Fourier transforms (FFT)

2007 files (written in v5.2, but can be read into v6 or v7 and updated)

These downloads require Adobe Acrobat Reader NL prop code List convolve demo.nb: demonstrate numerical convolutions Hhg_simple_model.nb: kinetic model of electron motion in high-order harmonic generation

Links to literature in nonlinear optics

Feel free to let me know of other articles or links to post.

Useful data links

RefractiveIndex.info

Great resource for dispersion data on crystals, glasses and other materials. If you need to cite the information, cite the primary sources listed on the website.

These downloads require Adobe Acrobat Reader LiIO3 datasheet. This has dispersion and nonlinear coefficients.

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)

Optical parametric amplifiers

• Brida, et al. Optics Express V15 p15035 (2007) "Generation of broadband mid-infrared pulses from an optical parametric amplifier" Brida OPA 1 (Durfee 1/19/09)-This is the paper we are working through in class as an example of an ultrafast OPA.

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.

• Chin "et al", Can. J. Phys. 83:863-905 (2005) "The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges" [1] (A. Meier 4/27/11)-A review of filamentation.

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.

• T. Brabec, et al, Optics Letters, Vol. 17, Issue 18, pp. 1292-1294 (1992) "Kerr lens mode locking" opticsinfobase (B. Galloway 1/25/2011). An article describing an optical system in a laser oscillator to allow passive mode locking using a Kerr lens and an aperture. Aspects like dependence of gain on intracavity power and the stability parameter are included in the analysis.

• H. Hirori, et al, "Single Cycle THz Pulses with amplitudes exceeding 1MV/cm generated by optical rectification in LiNbO3" arxiv (K. Strovink 2/14/2011). Describes a method for creating coherent, ultrashort pulses at 1THz.

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. Megret, 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, Megret, & 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.

Misc cool papers

• M. McCall, A. Favaro, P. Kinsler and A. Boardman, J. Opt. v13, 024003 (2011) "A spacetime cloak, or a history editor." McCall (2011) (Durfee 1/19/2011)-How to hide from a time-machine?

• R.W. Boyd and D. Gauthier, Science, 326,1074-1077 (2009) "Controlling the Velocity of Light Pulses," Boyd (2009) (Lemmon, 5/12/2011) -Nice review of slow and fast light techniques and applications

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