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Hierarchical Construction of Higher-Order Exceptional Points

Zhong, Q. and Kou, J. and Özdemir, Ş. K. and El-Ganainy, R. (2020) Hierarchical Construction of Higher-Order Exceptional Points. Physical Review Letters, 125 (20). Art. No. 203602. ISSN 0031-9007.

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The realization of higher-order exceptional points (HOEPs) can lead to orders of magnitude enhancement in light-matter interactions beyond the current fundamental limits. Unfortunately, implementing HOEPs in the existing schemes is a rather difficult task, due to the complexity and sensitivity to fabrication imperfections. Here we introduce a hierarchical approach for engineering photonic structures having HOEPs that are easier to build and more resilient to experimental uncertainties. We demonstrate our technique by an example that involves parity-time symmetric optical microring resonators with chiral coupling among the internal optical modes of each resonator. Interestingly, we find that the uniform coupling profile is not required to achieve HOEPs in this system—a feature that implies the emergence of HOEPs from disorder and provides resilience against some fabrication errors. Our results are confirmed by using full-wave simulations based on Maxwell’s equation in realistic optical material systems.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Zhong, Q.0000-0002-6772-4850
Kou, J.0000-0002-0481-5149
Özdemir, Ş. K.0000-0002-2625-3992
El-Ganainy, R.0000-0003-4925-1153
Additional Information:© 2020 American Physical Society. (Received 18 March 2020; accepted 28 September 2020; published 12 November 2020) R. E. acknowledges fruitful discussions with J. Wiersig. R. E. acknowledges support from ARO (Grant No. W911NF-17-1-0481), NSF (Grant No. ECCS 1807552), the Max Planck Institute for the Physics of Complex Systems, and the Henes Center for Quantum Phenomena at Michigan Technological University. S. K. O acknowledges support from ARO (Grant No. W911NF-18-1-0043), NSF (Grant No. ECCS 1807485), and AFOSR (Grant No. FA9550-18-1-0235).
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-17-1-0481
Max Planck Institute for the Physics of Complex SystemsUNSPECIFIED
Michigan Technological UniversityUNSPECIFIED
Army Research Office (ARO)W911NF-18-1-0043
Air Force Office of Scientific Research (AFOSR)FA9550-18-1-0235
Issue or Number:20
Record Number:CaltechAUTHORS:20201112-103611779
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106641
Deposited By: George Porter
Deposited On:16 Nov 2020 15:48
Last Modified:16 Nov 2020 15:48

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