Multi-objective optimization of dielectric layer PBG filter structure on the weighting factors method and the response surface methodology

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.