Definitions and Formulas

Definitions and Formulas

• General Definitions
  • Nonlinear Methods
  • Indices and Symbols
  • Transformations
  • Definition of nonlinear signal in time domain
  • Error
  • Calculation of \(\mu\)
  • Z-Gradient
  • Z-Pseudo-Hessian
  • Z-Gradient and Pseudo-Hessian (with respect to spectral phase factor)
  • PIE Gradient
  • PIE Pseudo-Hessian
  • PIE Gradient and Pseudo-Hessian (with respect to spectral phase factor)
• Z-Error Gradient and Pseudo-Hessian
  • FROG
  • Interferometric FROG
  • Chirp-Scan
  • Time-Domain-Ptychography
  • Interferometric Time-Domain-Ptychography
  • Two-Dimensional Spectral-Shearing Interferometry (2D-SI)
  • VAMPIRE
• Ptychographic Iterative Engine (Gradients and Hessians)
  • PIE - Gradient
  • PIE - Pseudo Hessian
• Update nonlinear Signal
  • Projection
  • Iteration
• Adaptive Stepsize
  • Based on Taylor-Series
  • Based on Pade-Approximation

Attosecond Streaking

• Attosecond Streaking (Definitions, Z-Gradients and Z-Pseudo-Hessians)
  • Definitions
  • Z-Gradients
  • Z-Pseudo-Hessian
  • PIE Gradient