A fast and accurate design method for broad omnidirectional bandgaps of one dimensional photonic crystals

Abstract A fast and accurate novel design method is proposed for the design of broad omnidirectional bandgaps of one dimensional (1-D) photonic crystals (PCs). Presented method is verified with various numerical examples for 1-D photonic crystals which consist of a cascade of two quasi-periodic stacks and broad omnidirectional bandgaps are achieved. Furthermore, computation time requirement of the presented method is considerably less than that required for purely numerical approaches. The proposed algorithm is quite flexible and can easily be modified to address problems involving 1-D PCs consisting of three and more cascaded stacks and specific 2D PC structures.

[1]  J. Joannopoulos,et al.  Omnidirectional reflection from a one-dimensional photonic crystal. , 1998, Optics letters.

[2]  P. Yeh,et al.  Electromagnetic propagation in periodic stratified media. I. General theory , 1977 .

[3]  Peifu Gu,et al.  Construction of one-dimensional photonic crystals based on the incident angle domain. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Enlargement of complete two-dimensional band gap by using photonic crystal heterostructure , 2005 .

[5]  P Lalanne,et al.  Effective medium theory applied to photonic crystals composed of cubic or square cylinders. , 1996, Applied optics.

[6]  Sailing He,et al.  Design of two-dimensional photonic crystals with large absolute band gaps using a genetic algorithm , 2003 .

[7]  A. Lavrinenko,et al.  Observation of total omnidirectional reflection from a one-dimensional dielectric lattice , 1998, cond-mat/9811073.

[8]  Jiangfeng Xu.  Optimization of Construction of Multiple One-Dimensional Photonic Crystals to Extend Bandgap by Genetic Algorithm , 2010, Journal of Lightwave Technology.

[9]  Serkan Şimşek.  A novel method for designing one dimensional photonic crystals with given bandgap characteristics , 2013 .

[10]  Sergey V. Gaponenko,et al.  All-dielectric one-dimensional periodic structures for total omnidirectional reflection and partial spontaneous emission control , 1999 .

[11]  E. Yablonovitch,et al.  Engineered omnidirectional external-reflectivity spectra from one-dimensional layered interference filters. , 1998, Optics letters.

[12]  Hod Lipson,et al.  Two-dimensional photonic crystals designed by evolutionary algorithms , 2005 .

[13]  Liyong Jiang,et al.  Broad omnidirectional reflectors design using genetic algorithm , 2008 .

[14]  George A. Gazonas,et al.  Genetic algorithm optimization of phononic bandgap structures , 2006 .

[15]  Xin Wang,et al.  Enlargement of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures , 2002 .

[16]  Winn,et al.  A dielectric omnidirectional reflector , 1998, Science.

[17]  Dahe Liu,et al.  The rule for broadening of band-gaps in biperiodic photonic crystals , 2004 .