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ECE Course Syllabus

ECE6522 Course Syllabus


Nonlinear Optics (3-0-3)



Catalog Description
Provides an introduction to the field of nonlinear optics, exploring the physical mechanisms, applications, and experimental techniques.

Robert Boyd, Nonlinear Optics (3rd edition), Academic Press/Elsevier. ISBN 9780123694706 (required) (used Spring 2004)

Topical Outline
Introduction --- Interaction of light with linear and nonlinear media.

   Light propagation in linear media -- a review.
   Classical models of atomic polarizability.
   Electromagnetic theory of nonlinear interactions.

Nonlinear susceptibilities.

   Susceptibility tensors.
   Classical models of nonlinear polarization.
   Classification of media.

Second order processes

   Susceptibility representation.
   Coupled wave equations for general three-wave mixing.
   Energy and momentum conservation, phase matching.
   Special cases.
      Second harmonic generation
      Parametric mixing and oscillation.
      Optical rectification.
   Experimental considerations.
   Second order susceptibility measurement techniques.
   Ultrashort pulse measurement.

Third order processes.

   Susceptibility representation.
   Optical Kerr effect.
   Four-wave mixing.
      Non-degenerate mixing with general beam geometries.
      Phase conjugation with degenerate and non-degenerate mixing.
      Light-induced grating phenomena.
   Raman effect.
      Harmonic oscillator model.
      Spontaneous and stimulated scattering.
      Stimulated scattering in optical fibers.
      Raman spectroscopy.
   Stimulated Brillouin scattering.
   Experimental considerations.
   Third order susceptibility measurement techniques.

Nonlinear optics under pulsed excitation.

   Motivation and complications of pulsed operation.
   Material response times.
   Mathematical construction of time-varying polarization amplitudes.
   Nonlinear Schrodinger equation.
      Self- and cross-phase modulation.
          Frequency continuum generation.

         Temporal and spatial solitons.
         Pulse compression.
      Nonlinear pulse propagation in fibers.
      Time-resolved measurements of material properties.