A Geometry Projection Method (GPM) for the optimization of photonic crystal nanostructures is used to improve the performance of two different photonic devices. The GPM is a level set based approach for defining a differentiable expression describing the material distribution of a structure. It gives direct control over areas of intermediate dielectric constant and implicit control over feature size, both key concerns for the design of nano-scale devices. The GPM, in conjunction with the finite element and adjoint methods, is used here to solve two different non-linear optimization problems. The diffraction from a two-dimensional photonic crystal waveguide termination is reduced, and the reflectivity of a three-dimensional photonic crystal laser cavity structure is increased. Significant improvements in both cases demonstrate that the GPM is an effective tool for optimization of photonic structures.

Original languageEnglish (US)
Pages (from-to)3410-3416
Number of pages7
JournalComputer Methods in Applied Mechanics and Engineering
Issue number41-42
StatePublished - Jul 1 2008


  • Electromagnetics
  • Finite element
  • Photonic crystal
  • Topology optimization

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics


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