Matrix Models for photonic bandgap engineering
Raul Robles1*, Tzu-Hsien Wang2, Yu-Han Chang3, Vanna Chrismas Silalahi3, Watson Kuo3, Ray-Kuang Lee1,2
1Institute of Photonic Technologies, National Tsing Hua University, Hsinchu, Taiwan
2Department of Physics, National Tsing Hua University, Hsinchu, Taiwan
3Department of Physics, National Chung Hsing University, Taichung, Taiwan
* Presenter:Raul Robles,
Matrix models for one-dimensional left-handed meta-materials based on interleaved split resonators and complementary split resonators are proposed and analyzed analytically. In resemblance to the Su-Schrieffer-Heeger (SSH) model a non-Hermitian matrix is used. The calculated eigenvalues exhibit the appearance of a band gap as a function of the ring resonators orientation angles. Controlling such band allows changing the transmittance spectrum from a single passband to split passband. The band structure of the model matches experimental and numerically calculated transmittance. Additionally, the transmittance is explored by means of a two counter-propagating waves model.

Keywords: Split Ring Resonators, Photonic lattice, SSH model, Coupled Ring Resonators