1. Parity-Time Symmetry in Laterally Coupled Bragg Waveguides
- Author
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Patrice Feron, Yann G. Boucher, Institut des Fonctions Optiques pour les Technologies de l'informatiON (Institut FOTON), École Nationale Supérieure des Sciences Appliquées et de Technologie (ENSSAT)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Centre National de la Recherche Scientifique (CNRS)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), and Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École Nationale Supérieure des Sciences Appliquées et de Technologie (ENSSAT)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Modal gain ,Physics ,parity-time symmetry (PTS) ,business.industry ,Coupled-mode theory (CMT) ,Laser oscillation ,Physics::Optics ,Parity (physics) ,02 engineering and technology ,Condensed Matter Physics ,Atomic and Molecular Physics, and Optics ,distributed feedback (DFB) ,Resonator ,distributed bragg reflector (DBR) ,020210 optoelectronics & photonics ,Optics ,Modal ,0202 electrical engineering, electronic engineering, information engineering ,Scattering parameters ,[SPI.OPTI]Engineering Sciences [physics]/Optics / Photonic ,Power dividers and directional couplers ,Electrical and Electronic Engineering ,business - Abstract
International audience; We investigate theoretically, in the frame of Coupled-Mode Theory (CMT), a system made of two laterally coupled, perfectly phase-matched, index-coupled Bragg waveguides, the modal gain of the amplifying one compensating exactly the modal losses of the other. Reverting to the supermode eigenbasis of the underlying “naked” (non-periodic) Parity-Time Symmetric (PTS) directional coupler, we derive analytically the scattering parameters of the whole structure. We also consider a system made of two purely gain-coupled Bragg waveguides, either in phase or in anti-phase. In each case, we comment upon the gain requirement for achieving a laser oscillation.
- Published
- 2019
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