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Over the last few decades, the study of Bound States in the Continuum, theirformation, and properties has attracted lots of attention, especially in opticsand photonics. It is particularly noticeable that most of these investigationsbase their studies on symmetric systems. In this article, we study theformation of bound states in the continuum in electronic and photonic transportsystems consisting of crossbar junctions formed by one-dimensional waveguides,considering asymmetric junctions with commensurable lengths for the upper andlower arms. We also study how BICs form in linear junction arrays as a functionof the distance between consecutive junctions and their commensurability withthe upper and lower arms. We solve the Helmholtz equation for the crossbarjunctions and calculate the transmission probability, probability density inthe intersections, and quality factor. The presence of quasi-BICs is reflectedin the transmission probability as a sharp resonance in the middle of asymmetric Fano resonance along with Dirac's delta functions in the probabilitydensity and divergence in the quality factors.

Beyond symmetry-protected BICs: transmission through asymmetric crossbar junctions in one-dimensional waveguides