Extra Notes

• Basic Reciprocal Lattice Concepts
  Basic Uses of Reciprocal Lattice
  Definition of Reciprocal Lattice
  Conservation of Momentum
  Reciprocal Space Basis Vectors
  Brillouin Zone - Moving Gratings
  Convention Examples - Directions


• Coupled Modes - Bonding / AntiBonding
  Basic H₂ Ion Coupled Mode Problem from Burns (example)
  The Determinental Equation for Energy Eigenvalues
  Energy Eigenvalues
  Energy Dependence on Coupling


• Other Examples of Coupled Modes and ABCD Parameters
  Gaussian Beam Propagation
  Integrated Optics - Couplers, Switches
  Quantum Mechanical Coupling


• Hybridization
  Hybridization (example)
  Hybridization in GaAs, GaN, and Si
  Bonding and AntiBonding of Hybrids in GaAs, GaN, and Si


• Kronig-Penney Model
  Basic Kronig-Penney Model
  Dispersion Relation
  Band-Gap and Quarter-Wave Stack


• Properties of Semiconductors
  Basic Properties of Semiconductors


• 3D Bank Structures
  Brillouin Zones and Symmetry
  Empty Lattice Dispersion Diagram
  Symmetry Analysis of the Plane-Wave States


• k dot p Perturbation Theory
  Basic k.p Perturbation Band Calculation
  Basic Spin Orbit Interaction
  k.p Perturbation Band Calculation with Spin Orbit Coupling
  Determinental k.p Perturbation Band Calculation Equation with Spin Orbit Interaction
  The Conduction Band including the Spin Orbit Interaction
  Basic k.p Perturbation Bands including the Spin Orbit Interaction: Estimate of the Kane Parameter
  Wenckebach's Symmetry Analysis and References


• Basic Oscillator and the Density Matrix Equations for Dielectrics
  Classical Oscillator and the Density Matrix
  In Phase and Quadrature Polarization - Inclusion of Damping (Markov)
  Quantum Coherence, T2 & T1
  Basic Expression for Solid State Polarization