Photonics Research, Volume. 11, Issue 10, A54(2023)
Higher-order exceptional points in waveguide-coupled microcavities: perturbation induced frequency splitting and mode patterns
Fig. 1. Illustration of different setups with the corresponding eigenmodes for the realization of higher-order EPs. In the front is an example for an
Fig. 2. (a) Illustration of two WG-coupled microrings. The WG is infinitely long without backscattering as indicated by the outward pointing arrows. (b), (c) Frequency splitting
Fig. 3. Illustration of the perturbation-induced splitting around an
Fig. 4. Frequency splitting
Fig. 5. Mode pattern
Fig. 6. (a) Illustration of the setup with
Fig. 7. Mode pattern
Fig. 8. (a) Illustration of three microring cavities coupled to one semi-infinite WG with a gold mirror at the end. The position of a TP is indicated by colored symbols. (b) The frequency splitting
Fig. 9. (a) Illustration of four WG-coupled microring cavities. The WGs are infinitely long without backscattering except for the most upper WG that has a mirror at one end. (b) The frequency splitting
Fig. 10. Mode pattern
Fig. 11. Relative intensity in each microring averaged over the eight modes in a four-ring setup perturbed by a TP is shown. The cavities are counted from bottom to top [(d) to (a)] in correspondence to the cavity position in Fig.
Fig. 12. Eigenfrequencies in complex plane for (a)–(e) four-ring and (f)–(j) two-ring setups [see Fig.
Fig. 13. Reflection spectra
Fig. 14. Reflection spectra
Fig. 15. Absolute values of the parameters
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Julius Kullig, Daniel Grom, Sebastian Klembt, Jan Wiersig. Higher-order exceptional points in waveguide-coupled microcavities: perturbation induced frequency splitting and mode patterns[J]. Photonics Research, 2023, 11(10): A54
Special Issue: OPTICAL MICRORESONATORS
Received: May. 25, 2023
Accepted: Jul. 25, 2023
Published Online: Oct. 7, 2023
The Author Email: Julius Kullig (julius.kullig@ovgu.de)