  This work is a proposal for an experimental platform to observe quantum
fictitious anticentrifugal force. We present an analytical and numerical
treatment of a rectangular toroidal dielectric waveguide. Solving the Helmholtz
equation we obtain analytical solutions for transverse spatial modes and
estimate their number as a function of system characteristics. On top of that,
the analysis of the structure was extended onto a real material platform, a
thin film lithium niobate on an insulator rib waveguide. The framework
presented here can be directly applied to analyze the phenomenon of quantum
anti-centrifugal force.
