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| Ring resonators are important building blocks used in integrated optical circuits to implement many different functions. Such devices are characterize by a cylindrical symmetry and their main benefits are compactness and possibility of dense integration. When a signal is injected into a ring resonator, its intensity is built up to a higher value and this can lead to an enhanced nonlinear response.
In this work, we present a new mode solver for non-reciprocal and lossy ring resonators. Starting from Maxwell's equations, we derive the variational formulation in the cylindrical coordinate systems. The node-based finite element method is used to solve the problem and the penalty function is added to remove the spurious solutions. Finally, the bending loss are simulated by assuming perfectly matched layer (PML) as boundary condition.
Unlike the earlier developed mode solver, our approach allows for the precise computation of both clockwise (CW) and counterclockwise (CCW) modes in the non-reciprocal case, ensuring high accuracy and computational efficiency. Although the preliminary results shown in this talk refer to the linear condition, the model can be easily extended for analyzing nonlinear optical regime.
This work is partially supported by the European Commission FP7 grant IRIS, project no. 619194 FP7-ICT. |
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