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We present an analysis of the transmission spectra of the twisted bilayerphotonic slabs using a modified rigorous coupled wave (RCWA) analysis, wherethe evanescent bases are replaced by bases with non-zero flux density. Byutilizing the modified RCWA we demonstrate the calculation of eigenmodes, whichhas not been realized before. To counter for the transmission property, wepropose a five-layer uniform slab approximation, with an accuracy around0.04a/c, which is more straightforward and accessible for optical engineerscompared to work by Lou et al. [Phys. Rev. Lett. 126, 136101]. The moir\'epattern perturbation induces a split of resonance, which show great potentialfor engineering the band structure. Moreover, We observe two distincttransmission phases: the angle-dependent phase and Fabry-P\'erot phase, whichis explained by a coupled-mode theory (CMT) with expanded channels brought bythe modified eigenmodes. Our work provides a theoretical framework for thedesign and optimization of twisted bilayer photonic devices.

Twist Bilayer Photonic slab's Angle-DependentGuided Resonance Analysis based on Multiple Scattering