Nonlinear Optics Spring-2017

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Contents

Course Information

Professor: Chip Durfee

Office: Timberline 1, office 15

Meeting Times: Monday, Wednesday 10:00-11:15

Room: Berthold 204

Announcements

11 Jan.: Welcome to Nonlinear Optics!

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

22 Jan.: Since I decided to change the sequence of topics, we haven't covered the material for you to do problems 1, 2 and 4. For the first homework, just do problems 3 and 5, and you can turn in the other problems later. Sorry for the confusion.

23 Jan.: slides posted are current through today. I'll have some additional reading handouts for birefringence.

28 Jan.: Homework 2 is posted, due 8 Feb. This homework includes problems 1 and 2 of HW1. Problem 4 from HW1 will be part of HW3.

1 Feb.: Homework 2 - For problem 5, we are talking about the design of a half wave plate. The phase shift between e and o should be pi + m*2pi, not pi/2 + m*2pi.

12 April: see the link at the very bottom of the page for the collection of lectures by Rick Trebino at Georgia Tech. The lecture on ultrafast spectroscopy is part of the ultrafast optics course.

Office hours

Tentative office hours:

Tuesday 1:00-3:00

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

Course Material

Syllabus

Pdf.png 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 1.3-1.4.2

1/19 2.1-2.2, first part 2.3, 2.7

Homework Assignments

Pdf.png These downloads require Adobe Acrobat Reader
Homework 1 due end of day Thursday 26 Jan
Homework 2 due end of day Wednesday 8 Feb
Homework 3 due end of day Friday 24 Feb
Homework 4 due end of day Wednesday 8 March

Take-home midterm

Pdf.png These downloads require Adobe Acrobat Reader
Take home midterm: due friday 24 March, 5pm

Lecture Notes and Slides 2017

The latest upload (11-14) aren't really broken up into separate lectures, but the material is sequential)

Pdf.png These downloads require Adobe Acrobat Reader
Lecture 1: introduction, survey of course
Lecture 2: classical NL response
Lecture 2: MMA model for 2D classical NL response for SHG
Lecture 3: NL equations and solutions for SHG
Lecture 4: Birefringence and crystal optics
Lecture 5: NL tensors, general NL polarization
Lecture 6: phase matching and time domain response
Lecture 7: NL mixing solutions
Lecture 8: Phase matching in NL mixing
Lecture 9: Quasi-phase-matching and Gaussian beams
Lecture 10: HG with focused beams/Fourier transforms and pulse propagation
Lecture 11: pulse propagation in OPA, pulse characterization
Lecture 12: tensor chi3 and nonlinear ellipse rotation
Lecture 13: origins of n2
Lecture 14: split step pulse propagation, solitons

Lecture Notes and Slides 2013

Pdf.png 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

Pdf.png 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.

2017 files

Pdf.png These downloads require Adobe Acrobat Reader
PhaseMatchCode.nb: Phase matching program for doubling in various crystals
Polarization_tools.nb: Jones vectors and matrices for polarization modeling
Mixing_solutions.nb : solves scaled SHG equations


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

Pdf.png These downloads require Adobe Acrobat Reader
Mixing_solutions.nb: solutions of simultaneous NL eqns for doubling


fft demo.nb: demonstrate numerical Fourier transforms (FFT)


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

Pdf.png 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.

Pdf.png 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

Fabry-Perot demonstration

Falstad.com: some nice optics demos

Lectures from Georga Tech (Rick Trebino)

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