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Optimization of photonic crystal filter based on slack variables

Yang H., Peng S., Meng S.

Optica Applicata

2017

Vol. 47, nr 4

621--633

The improved model based on slack variables is designed to optimize a photonic crystal filter. An optimization model of the filter is established, with the transmission quantity in a stop-band as the objective function and the transmission quantity outside a stop-band as the constraint condition. The improved model is obtained by introducing slack variables in the infeasible region. With the treatment of objective and constraint functions, the optimization problem and the improved model are solved by sequential linear programming. Then the convergent solution satisfying the constraints can be found. The change of the objective function and design variables with iteration steps is presented by numerical examples, and the influence of by the constraints on the central frequency of the stop-band is discussed, indicating that the improved model is available and effective for optimization of a photonic crystal filter.

The optimization of the dielectric layer photonic crystal filter by the quadratic response surface methodology

Yang H., Meng S, Wang G., Huang C.

Optica Applicata

2015

Vol. 45, nr 3

369--379

Dielectric layer photonic crystal filter structures in waveguide are optimized by the quadratic response surface methodology. The optimization model of the filter is established on the basis of the analysis which is conducted with the aid of the response surface methodology. The model is solved using sequential quadratic programming and the optimal parameters are obtained. Examples demonstrate it is effective.