Coupled non-identical microdisks: avoided crossing of energy levels and unidirectional far-field emission

Abstract

We investigate two coupled microdisks with non-identical radii focusing on the parametric evolution of energy levels and the unidirectional far-field emission. We show that the evolution of energy levels is characterized by the avoided crossing intrinsically associated with the exceptional point or the non-Hermitian degeneracy. These spectral properties explain highly asymmetric near-field intensity pattern of the resonance mode. The observed unidirectional far-field emission is shown to be understood by considering the forbidden inter-disk coupling in the ray picture induced by the frustrated total internal reflection near the closest point between two disks when the inter-disk distance is small enough.

8 pages, 11 figures

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• Designing coupled microcavity lasers for high-Q modes with unidirectional light emission
• Ab initio investigation of lasing thresholds in photonic molecules
• The Shannon entropy and avoided crossings in closed and open quantum billiards
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• Optimization of conformal whispering gallery modes in limaçon-shaped transformation cavities
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• Impact of non-Hermitian Mode interaction on Inter-cavity Light transfer
• Realization of geometric phase topology induced by multiple exceptional points
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• Terahertz beat freuquency generation from two-mode lasing operation of coupled microdisk laser
• Behavior of three modes of decay channels and their self-energies of elliptic dielectric microcavity
• Complex energy structures of exceptional point pairs in two level systems
• Boundary integral equation method for resonances in gradient index cavities designed by conformal transformation optics
• Whispering gallery modes in triple microdisks of triangular configurations
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• Information-theoretic analysis of complex eigenmodes across avoided crossings in open microcavities
• Exceptional-point-controlled mode interaction in three-dimensional microcavities represented by generalized Husimi functions
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