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Numerical Optimization of Photonic Crystal Structures

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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.

Keywords: FILTERS; HIGH DENSITY INTEGRATED OPTICS; OPTIMIZATION; PHOTONIC CRYSTALS; WAVEGUIDES

Document Type: Research Article

DOI: https://doi.org/10.1166/jctn.2007.032

Publication date: 2007-05-01

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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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