Examples

• Shapes, layers, and photonic crystals
  • Shapes and layers
  • Plane-wave expansion
  • Photonic crystals
  • Guided-mode expansion
  • Multiple layers and fancy shapes
  • Shapes in the claddings
  • Caveats
• Plane wave expansion for a 2D photonic crystal
  • Define 2D photonic crystal
  • Compute the photonic bands
  • Visuzlize the field of a mode
• Guided mode expansion for a multi-layer grating
  • Asymmetric grating
  • Build the grating as a three-layer structure
  • Compute quasi-guided bands
  • Asymmetric coupling
• Bands of a photonic crystal slab
• Plane wave expansion with Autograd
  • Define 2D photonic crystal waveguide
  • Compute gradients
  • Optimize the waveguide
• Guided mode expansion with Autograd
  • PhC cavity simulation
  • Autograd backend
  • Test gradient of quality factor
  • Test gradient of fields
  • Quality factor optimization
• Enhancing GME gradient computation efficiency
  • PhC cavity simulation
  • Accuracy of forward computation
  • Time and memory performance of gradient computation
• Zero-index Bound states In the Continuum
  • Daisy-hole PhC simulation
  • Finding optimal parameters
  • Test gradient
  • Optimization of circular holes