Numerical Optimization of Photonic Crystal Structures
Abstract:The efficiency of various deterministic and stochastic optimization algorithms for the optimization of photonic crystal structures is studied. The focus of these investigations is on problems with a relatively small search space but with very time-consuming evaluation of the fitness or merit functions obtained by different electromagnetic field solvers. To obtain information to what extend the field solvers accuracy influences the optimization algorithms a domain method (finite elements) and a boundary method (multiple multipole program) were used. It was found that deterministic optimization algorithms is very efficient when a sufficiently accurate field solver is applied and when a good initial guess is available that is sufficiently close to the desired optimal solution. In other words, deterministic solvers are very well suited for fine tuning. A good initial guess can also be obtained from a previous run of a stochastic optimizer that is terminated before finding the optimum.
Document Type: Research Article
Publication date: May 1, 2007
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