The transportation of in-plane photonic topological states, achieved by mimicking electronic systems, has gained a lot of attention. However, there has not been much exploration of their out-of-plane radiation effects. By treating leakage radiation, the concept of the band topology can be extended to resonant metasurfaces, providing new opportunities to directly measure them and to create new features for free-space applications. In this talk, we examine the basic mechanisms of far-field radiation and resonant excitation in topological junction metasurfaces made of thin film dielectric subwavelength gratings. These structures have distinctive topological characteristics such as complex Dirac masses, Berry phases, and band structures shown through Fano spectral responses. Considering the correlation between the topological quantities and structural parameters, we discuss new optical functionalities discovered in the topological metasurfaces such as Dirac-mass engineered beam shaping.
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