  Strong coupling of excitons to optical cavity modes is of immense importance
to understanding the fundamental physics of quantum electrodynamics at the
nanoscale as well as for practical applications in quantum information
technologies. There have been several attempts at achieving strong coupling
between excitons in two dimensional semiconductors such as transition metal
dichalcogenides (TMDCs) and photonic quasi-bound states in the continuum
(BICs). We identify two gaps in the platforms for achieving strong coupling
between TMDC excitons and photonic quasi-BICs: firstly, in the studies so far,
different cavity architectures have been employed for coupling to different
TMDCs. This would mean that typically, the fabrication process flow for the
cavities will need to be modified as one moves from one TMDC to the other,
which can limit the technological progress in the field. Secondly, there has
been no discussion of the impact of fabrication imperfections in the studies on
strong coupling of these subsystems so far. In this work, we address these two
questions by optimizing a cavity with the same architecture which can couple to
the four typical TMDCs (MoS$_2$, WS$_2$, MoSe$_2$, WSe$_2$) and perform a
detailed investigation on the fabrication tolerance of the associated photonic
quasi-BICs and their impact on strong coupling.
