Table of Contents
Nonlinear Optics
Introduction
The nonlinear response
Nonlinear response
Nonlinear response
Optical nonlinearity
Polarisation
Linear polarisation
Nonlinear polarisation
Harmonic terms in the polarisation
PPT Slide
c(2) phenomena
c(3) phenomena
c(3) phenomena
Nonlinear susceptibility
Nonlinear susceptibility
Fourier components of the nonlinear susceptibility
Units of d (F/m or m/V)
Symmetry of c(2)
Two symmetry conditions on c(2)
Contracted notation for d
Electromagnetic waves and polarisation
Maxwell’s equations
Linearisation of the equations
Linearisation of the equations
Second harmonic generation
Low conversion efficiency limit
Second harmonic conversion
Phase mismatch
Phase matching
Phase-matching with birefringence
Index ellipsoid
Polarisation
Poynting vector walk-off
Birefringence phase-matching
Poynting vector walk-off
Aperture length
Aperture length
Focussing
Angular acceptance
Angular acceptance (cont.)
Spectral/temporal acceptance
Type I and type II phase-matching
Effective nonlinear coefficient deff
Example of use of deff
Focussing
Quasi-phase-matching
Quasi-phase-matching
Periodic poling
Advantages of periodic poling
Three wave mixing
Parametric processes
Parametric processes (cont.)
Laser
Optical parametric oscillator (OPO)
Coupled wave equations
Solution to the coupled wave equations
Calculation of parametric gain
Tuning of a DRO
DRO tuning
Threshold for an OPO
Threshold for OPOs (Cont.)
Nanosecond OPOs
Mode-locked lasers
Synchronously pumped OPOs
Four wave mixing in a c(3) medium
Optical phase conjugation
Phase conjugate mirror
Image restoration by phase conjugation
Optical Kerr effect
Self-focussing
Self guiding
Self-guiding (cont.)
Kerr lens mode-locking (KLM)
Self-phase modulation
Hyperbolic secant pulse
Frequency chirp on sech2 pulse
Frequency chirp
Fibre-Grating Pulse Compressor
Optical Solitons
Anomalous dispersion
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