Abstract

The coupling between a waveguide and a dielectric cavity is an important issue in many studies. Time differential coupling-mode theory is commonly used but invalid when the coupling is too strong due to the restriction of perturbation method. Although the finite-element method (FEM) is an accurate numerical method, in any case, it often requires extensive computing resources and costs too much time. In our work, a universal method is introduced to solve the coupling question in the two-dimensional waveguide–microcavity system. Through considering the field as a waveform which scatters between cavity and waveguide back and forth, the practical field can be obtained by summing these scattering waves. As a result, transmission spectrum, resonance frequency shift of a high-Q cavity mode, and mode weight inside the cavity are acquired. Furthermore, we have also analyzed the case under the strong coupling condition, in which the spectrum manifests a non-Lorentzian shape. Meanwhile, the field distribution and mode weight analysis show that multiple cavity modes are excited simultaneously. In terms of computational efficiency, our method is two orders of magnitude faster than FEM.

© 2018 Optical Society of America

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