Nonlinear optics, Optics 568
Mondays and Wednesdays, 14:30 – 15:45
PAIS 1140
Instructor
Jean-Claude Diels
Physics & Astronomy room PAIS 2236, phone 277-4026
CHTM, room 114A, phone 272-7830
Email: jcdiels@unm.edu
Office hours by appointment
Teaching Assistant
Ali Rastegari, arastegari@unm.edu
Reference material
Reference material will be posted on the Website:
- http://Dielslab.unm.edu
- Abourt this course
- Revised syllabus
- INTRODUCTION
- Elecron response
- Introduction-part 2
- Electron response
SEMI-CLASSICAL APPROACH TO NONLINEAR OPTICS. Book Chapter 3
- All of nonlinear optics in one semiclassical derivation
- Reading material-same as above, density matrix derivation
- Back to fundamentals: uncertainty relations, wave-particle, and Schroedinger equation
- Still fundamentals: a two level system, the equations
- From Bloch's equatin to linear polarization
- Coherent propagation
- Coherent 3rd harmonic
- From 2-level interaction equations to Kerr effect:
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Third order susceptibility: self phase modulation, shock: the content is:
THIRD ORDER SUSCEPTIBILITY
- As approximation of Bloch vector model for two photon transitions
- As a source of light through
- Self phase modulation
- Shock
- At the origin of Self Trapping and self focusing
- From self focusing to filaments
- Nonlinear Schroedinger equation in 2D (unstable): the Townes soliton
FILAMENTS Nonlinear Schroedinger equation + higher order term
- Gaussian-like solution / evolution equation
- Moving focus
- Bessel beam
- Experiments to understand filaments
- Radiation from filaments (SPM? Shock? 4WM? Xwaves?
Overview of effects related to third order scusceptibility
Velocities
Raman and Brillouin
- Rotational Raman in diatomics - book Chapter 3 summary in Raman-Brillouin.ppt
- Brillouin phase conjugation and compression - Brillouin.ppt
- Back to the source: Brillouin14.pdf
Second order
From classical waves to quantum waves
- Different representations of a wave packet
- Wigner and uncertainty principle
- uncertainty-Schrodinger-harmonic oscillator
- Quantum overview I
- Quantum overview II
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HOMEWORK
- Homework 1
- Homework 2 - Electron trajectory
- Homework 3 - time-bandwidth - some examples
- Homework 4 - Steady-state
- Homework 5 - Cavity with phase conjugation
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PROJECT
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REFERENCE MATERIAL