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STATISTICAL DESIGN CENTERING OPTIMIZATION OF 1D PHOTONIC CRYSTAL FILTERS

By A.-K. S. O. Hassan, A. S. A. Mohamed, M. M. Taha, and N. H. Rafat

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Abstract:
A statistical design centering approach is introduced, to achieve the optimal design center point of one-dimensional photonic crystal-based filters which are parts of several optoelectronic systems. Up to our knowledge, it is the first time that a design centering approach is applied to such a design problem. The proposed approach seeks nominal designable parameter values that maximize the probability of satisfying the design specifications (yield function). Thus, the achieved optimal design center point is much more robust to unavoidable designable parameter variations, occurring during fabrication process, for example. The yield maximization problem is formulated as an unconstrained optimization problem solved by derivative-free based-algorithm (NEWUOA) coupled with a variance reduction yield estimator to reduce large number of required system simulations. The flexibility and efficiency of the proposed design centering approach are demonstrated by two practical examples: band pass optical filter and spectral control filter. A comparison with Minimax optimization technique is also given.

Citation:
A.-K. S. O. Hassan, A. S. A. Mohamed, M. M. Taha, and N. H. Rafat, "Statistical Design Centering Optimization of 1D Photonic Crystal Filters," Progress In Electromagnetics Research M, Vol. 49, 153-165, 2016.
doi:10.2528/PIERM16061203

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