Optimization of photonic crystal filter based on slack variables

• Autorzy: Yang H. , Peng S. , Meng S.

Identyfikatory

DOI

10.5277/oa170411

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

photonic crystal filter; slack variables; optimization

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Optica Applicata
• Rocznik: 2017
• Tom: Vol. 47, nr 4
• Strony: 621--633
• Opis fizyczny: Bibliogr. 13 poz., rys., tab.

Twórcy

autor

Yang H.

• College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

autor

Peng S.

• College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

autor

Meng S.

• College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

Bibliografia

• [1] ZHANG YOU-JUN, YANG QING-XIANG, LI YING, Development and application of photonic crystal, Journal of Shanghai University 10(3), 2004, pp. 283–288, (in Chinese).
• [2] LIN M., Transmission properties of photonic crystals containing metamaterials, Doctoral Thesis, University of Electronic Science and Technology of China, 2010, (in Chinese).
• [3] CUI L. B., QIU J., ZHAO J., et al., Design of multichannel filter based on holographic photonic crystals, Journal of Beijing University of Technology 37(12), 2011, pp. 1892–1895, (in Chinese).
• [4] SU AN, LI ZHONG-HAI, MO ZHUAN-WEN, et al., Modulation factor on the quality of photonic crystal filter, Journal of Hechi University 34(5), 2014, pp. 78–82, (in Chinese).
• [5] TRONG THIMAI, FU-LIHSIAO, CHENGKUOLEE, WENFENGXIANG, CHII-CHANGCHEN, CHOI W.K., Optimization and comparison of photonic crystal resonators for silicon microcantilever sensors, Sensors and Actuators A: Physical 165(1), 2011, pp. 16–25.
• [6] WANG Z., The transmission properties and optimized design of rectangular photonic crystal waveguide, Doctoral Thesis, Beijing University of Technology, 2014, (in Chinese).
• [7] YAN DUN-BAO, YUAN NAI-CHANG, FU YUN-QI, Research on dielectric layer PBG structures in waveguide based on FDTD, Journal of Electronics and Information Technology 26(1), 2004, pp. 118–123.
• [8] LI PENG, XIANG LI-PING, ZHANG MING-CUN, et al., Performance optimization of one-dimensional photonic crystal filter based on particle swarm optimization, Journal of Anqing Teachers College 21(1), 2015, pp. 43–45, (in Chinese).
• [9] HONGWEI YANG, WANXIE ZHONG, YUNKANG SUI, Optimal design of dielectric layer PBG structure in waveguide filter on the response surface methodology, Journal of Dynamics and Control 5(3), 2007, pp. 193–198, (in Chinese).
• [10] HONGWEI YANG, SHANSHAN MENG, GAIYE WANG, CUIYING HUANG, The optimization of the dielectric layer photonic crystal filter by the quadratic response surface methodology, Optica Applicata 45(3), 2015, pp. 369–379.
• [11] LV X.Y., The reseach in application of the photonoc crystal filter, Master’s Thesis, Xinjiang University, 2006, (in Chinese).
• [12] OUYANG ZHENG-BIAO, LIU HAI-SHAN, LI JING-ZHEN, Photonic crystal super narrow optical filters, Acta Photonica Sinica 31(3), 2002, pp. 281–284, (in Chinese).
• [13] YUNKANG SUI, Modelling Transformation and Optimization New Developments of Structural Synthesis Method, Dalian University of Technology Press, 1996, pp. 45–76, (in Chinese).

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).