Abstract
The one-dimensional (1D) Su-Schrieffer-Heeger (SSH) model is the simplest way to realize the topological phase transition. The topological interface state (TIS) induced by the Zak phase in the SSH model helps researchers to understand and develop the topological band theory, which has been widely promoted and applied in optics and phononics. In this work, we introduce the impedance matching method into the 1D elastic-wave system with three modes (one pure transverse mode and two quasi-longitudinal/transverse) to realize multimode TISs in the same structure. Superior to Zak phase analysis which only can qualitatively determine the presence of one TIS in the band gaps, the proposed impedance matching method allows us quantitatively to design the frequencies of multimode TISs in our elastic-wave model. Numerical band structures, transmission spectra, and field distributions verify these results. We not only extend the calculation of TIS to more complex multimode systems but also obtain multiband TISs with broader application value.
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