18 June 2007 Adaptive MBPE algorithm for speeding up the computation
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Abstract
A Model-Based Parameter Estimation (MBPE) technique is described to accelerate numerical simulations of electromagnetic structures. The adaptive MBPE algorithm is based on Cauchy's formula and operates in the frequency domain to extrapolate or interpolate from a narrowband set of data to a broadband set of data. The data can be either computed or measured over a specified frequency range. For computed data the sampled values of the function and a few low order derivatives are calculated from a Maxwell solver and are then used to reconstruct the function. For measured data, only measured values of the parameter set are used to create broadband information. In this case derivatives are avoided as they are too noisy. Adaptive MBPE belongs to the class of auxiliary techniques and can be added to any field solver. In this paper the technique is combined with two semi-analytic field solvers working in the frequency domain, the Method of Auxiliary Sources (MAS) and the Multiple Multipole Program (MMP). A dielectric waveguide, metallic and metallo-dielectric Photonic Crystals (PhCs) as well as Channel Plasmon-Polariton (CPP) structures are analyzed to demonstrate the efficiency of adaptive MBPE.
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K. Tavzarashvili, K. Tavzarashvili, Ch. Hafner, Ch. Hafner, D. Karkashadze, D. Karkashadze, Xudong Cui, Xudong Cui, R. Vahldieck, R. Vahldieck, } "Adaptive MBPE algorithm for speeding up the computation", Proc. SPIE 6617, Modeling Aspects in Optical Metrology, 66170S (18 June 2007); doi: 10.1117/12.725999; https://doi.org/10.1117/12.725999
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