**5. Conclusion**

In summary, we have developed a numerical model solution based on the Helmholtz wave equation by using finite element method. The mode profiles of the numerical solution provide the information of optical signals in optical fiber. Thus we are shown the effect Quantum Anti-centrifugal force has a similar phenomenon as in the Helmholtz wave equation analytically. Note that, this is a consequence of the form of the Helmholtz equation which in this case is mathematically identical to the Schrödinger equation. Thus, the setups proposed in this work may provide a classical platform to test quantum phenomena in optical fiber. The development a numerical model of the bent structure for both toroidal and LNOI rib waveguide will serve as the best platform to conduct the fundamental investigation of this quantum fictitious force mainly in the classical platform. It allows one to predict the spatial mode number and profile accurately. From this numerical analysis, we can conclude that the eigenmode shows a fascinating behavior with their distortion which correlated with the geometry of the curvature.

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