Dual quasibound states in the continuum in compound grating waveguide structures for large positive and negative Goos-Hänchen shifts with perfect reflection

Based on the selective excitations of the forward and backward propagating resonant guided modes, we achieve $dual$ bound states in the continuum ($dual$ BICs) in a compound grating waveguide structure composed of a four-part periodic grating layer and a waveguide layer. Assisted by the quasi-BIC corresponding to forward propagating resonant guided mode (quasi-BIC 1) and the one corresponding to backward propagating resonant guided mode (quasi-BIC 2), large $positive$ and $negative$ GH shifts can be simultaneously realized. Also, in contrast to the GH shift enhanced by conventional transmission-type resonance, large positive and negative GH shifts assisted by dual quasi-BICs possess 100% reflectance, which can be more easily detected and utilized. Our work provides a route to design GH-shift-based high-performance sensors, wavelength division (de)multiplexers and light storage devices.