Necklaces of $\mathcal{P}\mathcal{T}$-symmetric dimers

Abstract

We study light propagation through cyclic arrays, composed by copies of a given $\mathcal{P}\mathcal{T}$-symmetric dimer, using a group theoretical approach and finite element modeling. The theoretical mode-coupling analysis suggest the use of these devices as output port replicators where the dynamics are controlled by the impinging light field. This is confirmed to good agreement with finite element propagation in an experimentally feasible necklace of passive $\mathcal{P}\mathcal{T}$-symmetric dimers constructed from lossy and lossless waveguides.

10 pages, 4 figures

References in corpus (6)

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Cited by in corpus (7)

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• Symmetric supermodes in cyclic multicore fibers
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• Lasing in para-Fermi class-B microring resonator arrays
• Optical trimer: A theoretical physics approach to waveguide couplers
• Reconfigurable multiport switch in coupled mode devices
• Noisy Cyclic Quantum Random Walk