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The weighting factors method and the response surface methodology (RSM) are used to achieve multi-objective optimization of dielectric layer photonic band gap (PBG) filter structure. The size of period and transmission quantity are considered simultaneously and multi-objective optimization model of filter is established, which takes the size of period and transmission quantity to be minimized in stop-band as objectives. Then the model is treated by the weighting factors method and the RSM. Finally, the model is converted into a quadratic programming model and the optimal parameters are obtained using sequence quadratic programming. Example demonstrates that the present method is precise and efficient. © 2015 IEEE.
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