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# Topological photonics in synthetic electromagnetic media II

## 16:40 Invited talk : Bulk and Surface Correspondence through Geometric Phases in Photonic Crystals

### M. Xiao, Xueqin Huang, Z. Q. Zhang, C. T. Chan

#### Hong Kong University of Science and Technology (Hong Kong)

We find a correspondence between the surface impedance and the bulk geometric phase of the bands for photonic crystals. This surface-bulk correspondence actually applies to all one dimensional periodic systems with mirror symmetry. We extend this correspondence to two dimensional systems with C4v symmetry. Such correspondence allows us to use the bulk geometric phase to predict the existence of an interface state between two different photonic crystals.

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## 17:00 Invited talk : Observation of topological edge states in subwavelength resonant structures

### A. E. Miroshnichenko (1),A. N. Poddubny (2),I. S. Sinev (2),I. S. Muhin (2),A. P. Slobozhanyuk (1),K. Samusev (2),P. A. Belov (2),Y. S. Kivshar (1)

#### (1)The Australian National University (Australia) , (2)ITMO University (Russia)

We suggest a novel type of photonic topological edge states in zigzag arrays of resonant subwavelength particles. We experimentally verify our concept for plasmonic nanodisks in visible and for dielectric spherical particles in microwave ranges. One of the recognized topologically control the subwavelength topologically-protected electromagnetic edge modes by changing the nontrivial phases of electronic matter is associated with the quantum Hall effect when a polarization of the incident wave.

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## 17:20 : Measurement of the Zak phase in photonic systems

### Qiang Wang (1),Meng Xiao (1),Hui Liu (1),Fan Zhong (1),Shining Zhu (1),C. T. Chan (2)

#### (1)Nanjing University (China) , (2)Hongkong University of Science and Technology (Hong Kong)

We propose an experimental method to measure Zak phase in optical system. We can extract the property of each band gap through surface states which exists at the interface of trivial mirrors and nontrivial mirrors. By comparing the properties of two adjacent band gaps, Zak phase of the band sandwiched between them can be directly determined. We can also manipulate the excitation frequency and polarization of surface state by metasurfaces designed.

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## 17:35 : Robust propagation of microwave edge modes in reconfigurable topological crystals

### Camille Jouvaud, Xiaojun Cheng, Xujun Ma, Hua Zheng, Azriel Genack, Alexander Khanikaev

#### Queens College of The City University of New York (USA)

We demonstrate a microwave analogue of topological quantum spin Hall system in a photonic crystal-like system embedded into a parallel plate waveguide. Topologically protected transport of microwave radiation is found along the reconfigurable boundary between two domains of crystals with opposite synthetic gauge field emulating spin-orbital interaction. Waves propagation is controlled in a reconfigurable manner by modifying the domain walls. Protected states are shown to be reciprocal and robust against defects, including abrupt changes in the propagation direction.

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