Numerical Optimization of Photonic Crystal Structures
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.
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Document Type: Research Article
Publication date: 01 May 2007
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- Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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