Total Reflection of Two Guided Waves for Embedded Trapped Modes

To investigate the mechanism of wave trapping, acoustic embedded trapped modes associated with two-resonant-mode interference in two-dimensional duct–cavity structures are calculated by feedback-loop closure principle, which allows us to analyze traveling that construct modes. The exact two coexisting resonant underpin an mode a cavity open semi-infinite ducts numerically demonstrated. At interface between segment and duct, total reflection can occur for particular combination propagative guided waves cavity. With length frequency, also happens reflected at opposite end In this way, standing mode. It is found not closed-cavity Thus, work presents new understanding such as product waveguides, rather than eigenmodes closed Such multiple guide result mutual cancellation transmission channel(s) ducts. involving more may higher frequencies where propagative. For quasi-trapped modes, Fano scattering phenomenon owing effects channels shown.