This paper provides a review on the optimal design of photonic bandgap structures by inverse problem tech- niques. An overview of inverse problems techniques is given, with a special focus on topology design meth- ods. A review of first applications of inverse prob- lems techniques to photonic bandgap structures and waveguides is given, as well as some model problems, which provide a deeper insight into the structure of the optimal design problems.

@Article{BOY04,
  author       = {Burger, M. and Osher, S. and Yablonovitch, E.},
  title        = {Inverse problem techniques for the design of photonic crystals},
  journal      = {IEICE Transactions on Electronics},
  volume       = {87 C},
  pages        = {258-265},
  year         = {2004},
  url          = \{/2004/BOY04},
}