Аннотация:Germanium self-assembled nanoislands and quantum dots are very prospective for CMOS compatibleoptoelectronic integrated circuits but their luminescence intensity is still insufficientfor many practical applications. Here, we demonstrate experimentally that photoluminescenceof Ge nanoislands in silicon photonic crystal slab with hexagonal lattice can be dramaticallyenhanced due to the involvement in the emission process of the bounds states in the continuum. We experimentally demonstrate more than two orders of magnitude peak photoluminescence enhancement and more than one order of magnitude integrated PL enhancement in a photonic crystal slab compared with the non-structured sample area. We theoretically study this effect by the Fourier modal method in the scattering matrix form and demonstrate the appearance of quasi-normal guided modes in our photonic crystal slab. We also describe their symmetry in terms of group theory. Our work paves the way towards a new class of optoelectronic components compatible with silicon technology.arXiv:2006.06086v1 [physics.optics] 10 Jun 2020