In
recent decades, optical singularities have been extensively
investigated with intriguing phenomena and rich physics, including
bound states in the continuum (BICs), exceptional points, and optical
vortices. However, the behaviors of singularities at the light line
have largely been ignored. Here, we reveal the generation and evolution
of light line singularities and predict their distributions in planar
configurations. Remarkably, when a system simultaneously supports
light line singularities and BICs at the same point in the ω–k
x
space, combined singularities
are generated. The combined singularities (including combined BICs)
at both 0° and 90° show robust higher Q properties against the perturbation of the system compared with
isolated BICs or light line singularities. For example, in a lossy
system, the topological phase singularity pairs (TPSPs) resulting
from combined singularities have 3 orders of magnitude larger Q factors than TPSPs from isolated ones. Furthermore, the
positions of these TPSPs can be dynamically manipulated by inserting
a monolayer graphene. Our findings expand the classification of optical
singularities at the light line and enhance Q factors
by combining singularities with potential applications such as nonlinear
optics, lasers, and sensors.