These videos and the accompaning lecture notes are intended for instruction in the fundamentals of nonlinear optical microscopy and nonlinear optical surface characterization.

Chautauqua Instructional Videos

PDF Lectures on SHG Microscopy

1. The Molecular Frame

  • The Molecular Tensor
  • Time Dependent Perturbation Theory
  • Tensor Visualization I
  • Tensor Visualization II
  • Unit Vector Spheres
  • Tensor Vectorization
  • Molecular Symmetry
  • Character Tables I
  • Character Tables II
  • Character Tables III
  • 2. The Macromolecular Frame

  • Dimers I
  • Dimers II
  • Dimers III
  • 3. The Local Frame

  • Coordinate Transformations
  • Coordinate Transformation: Azimuthal Example
  • P212121 Symmetry
  • Uniaxial Symmetry
  • Uniaxial Symmetry: Collagen
  • 4. The Jones Frame

  • Review: Jones Calculus
  • Local Frame to Jones Frame
  • Incident and Detected Polarization
  • Example: Collagen
  • Polarization Rotation Measurements
  • Phase Modulation Measurements
  • Polarization In Polarization Out
  • Fresnel factors
  • Gaussian Beams and the Paraxial Approximation
  • Measurements with High NA Optics
  • Phase Matching
  • The Guoy Phase Shift
  • Hyper-Rayleigh Scattering I
  • Hyper-Rayleigh Scattering II
  • Hyper-Rayleigh Scattering III: Arbitrary Symmetry
  • 5. The Mueller Frame

  • Mueller Matrices
  • Mueller Tensors
  • Local Frame Symmetry
  • Reference Frame Rotation in the Mueller Frame
  • Vectorization of Mueller Tensors
  • The Elementar Transformation Matrix E
  • Polarization Rotation Measurements in Partially Depolarizing Media
  • Model 1: Depolarizing Media
  • Model 2: Depolarizing Media
  • Model 3: Hyperrayleigh Scattering
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    Copyright 2021, Simpson Research Group, Department of Chemistry, Purdue University, all rights reserved