We describe the process of parametric amplification in a directional coupler of quadratically nonlinear and lossy waveguides, which belong to a class of optical systems with spatial parity-time (PT) symmetry in the linear regime. We identify a distinct spectral parity-time anti-symmetry associated with optical parametric interactions, and show that pump-controlled symmetry breaking can facilitate spectrally selective mode amplification in analogy with PT lasers. We also establish a connection between breaking of spectral and spatial mode symmetries, revealing the potential to implement unconventional regimes of spatial light switching through ultrafast control of PT breaking by pump pulses.
Diana A. Antonosyan, Alexander S. Solntsev, and Andrey A. Sukhorukov, "Parity-time anti-symmetric parametric amplification," Proc. SPIE 9546, Active Photonic Materials VII, 95461J (Presented at SPIE Nanoscience + Engineering: August 13, 2015; Published: 31 August 2015); https://doi.org/10.1117/12.2190266.
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