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Communication Dans Un Congrès Année : 2023

Zak Phase and Topological Tamm States Between Two Photonic Comb Structures

Résumé

We investigate the existence of Tamm states at the interface between two one-dimensional (1D) photonic crystals (PCs) through an analysis of local density of states (LDOS) using the Green’s function method. The PCs are made of a comb-like structure consisting of stubs grafted periodically along a waveguide with different geometrical parameters. The Tamm states appear as maxima in the LDOS inside the common bandgaps of the periodic PCs. In addition, we prove the existence of such Tamm states using a topological invariant based on the Zak phase of the bulk band for each PC. The Zak phase is calculated using two different arguments, namely (i) the symmetry of the electric field at the band edge states and (ii) the sign of the reflection phases between each PC and a given waveguide. The Tamm state appears as well-defined resonance in the bandgap frequency area of the transmission spectra through two finite PCs in tandem. Our proposed design can be used as filter and sensor.
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Dates et versions

hal-04107677 , version 1 (26-05-2023)

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Soufyane Khattou, Yamina Rezzouk, Madiha Amrani, Mohamed El Ghafiani, El Houssaine El Boudouti, et al.. Zak Phase and Topological Tamm States Between Two Photonic Comb Structures. ICEERE 2022, May 2022, Saidia, Morocco. pp.213-221, ⟨10.1007/978-981-19-6223-3_24⟩. ⟨hal-04107677⟩
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