Exceptional points and lasing self-termination in photonic molecules

Abstract

We investigate the rich physics of photonic molecule lasers using a non-Hermitian dimer model. We show that several interesting features, predicted recently using a rigorous steady state ab-initio laser theory (SALT), can be captured by this toy model. In particular, we demonstrate the central role played by exceptional points in both pump-selective lasing and laser self-terminations phenomena. Due to its transparent mathematical structure, our model provides a lucid understanding for how different physical parameters (optical loss, modal coupling between microcavities and pump profiles) affect the lasing action. Interestingly, our analysis also confirms that, for frequency mismatched cavities, operation in the proximity of exceptional points (without actually crossing the square root singularities) can still lead to laser self-termination. We confirm this latter prediction for two coupled slab cavities using scattering matrix analysis and SALT technique. In addition, we employ our model to investigate the pump-controlled lasing action and we show that emission patterns are governed by the locations of exceptional points in the gain parameter space. Finally we extend these results to multi-cavity photonic molecules, where we found the existence of higher-order EPs and pump-induced localization.

arXiv comment21 pages, 8 figures

References in corpus (16)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Thresholdless Nanoscale Coaxial Lasers
• Self-tuned quantum dot gain in photonic crystal lasers
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Pump-induced Exceptional Points in Lasers
• Strong Interactions in Multimode Random Lasers
• Supporting Online Material for "Strong Interactions in Multimode Random Lasers"
• Steady-state Ab Initio Laser Theory: Generalizations and Analytic Results
• Pump-Controlled Directional Light Emission from Random Lasers
• Unconventional modes in lasers with spatially varying gain and loss
• Breaking of PT-symmetry in bounded and unbounded scattering systems
• Quantitative Verification of Ab Initio Self-consistent Laser Theory
• Effects of Spatially Nonuniform Gain on Lasing Modes in Weakly Scattering Random Systems
• Steady-State Ab Initio Laser Theory for N-level Lasers
• Electrically Switchable Photonic Molecule Laser

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