Solitary spectrally-discrete bound states in the continuum in an open system

Bound states in the continuum (BICs) exist in a variety of physical systems where they appear as lossless propagating states surrounded by radiating modes. However, in the case of open systems, they coexist with continuous families of guided states, which may be modes or other BICs, located in different regions of the frequency-momentum parameter space. Here we report that waveguiding structures comprising anisotropic materials with two radiation channels where continuous families of modes are not possible whatsoever can support discrete BICs that exist for a single frequency and a single propagation direction. The results are isolated spectrally-discrete BIC states existing as lossless needles emerging from a sea of radiating leaky modes.H2020 Marie Sk lodowska-Curie Action GA665884; Government of Spain (grants PGC2018- 097035-B-I00; Severo Ochoa CEX2019-000910-S); Fundaci ´o Cellex; Fundaci´o Mir-Puig; Generalitat de Catalunya (CERCA and AGAUR 2017-SGR-1400).Postprint (published version