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The resonant-state expansion (RSE) provides a precise and computationallycheap tool to find resonant states in complex systems using the optical modesof a simpler system as a basis. We apply the RSE to a photonic crystal slab inorder to identify and analyze its bound states in the continuum (BICs). We showthat the RSE is a useful and reliable method for not only finding the BICs butalso for differentiating between accidental and symmetry-protected BICs, aswell as for understanding their formation from the basis modes and evolutionwith structural and material parameters of the system. The high efficiency ofthe RSE allows us to track the properties of BICs and other high-qualityoptical modes, covering the full parameter space of the system in a reasonabletime frame.

Accidental and symmetry-protected bound states in the continuum in planar photonic-crystal structures, studied by the resonant-state expansion