Abstract
We implement a finite-dimensional representation of the Lorentz group with a -symmetric waveguide array. Our device can be engineered to behave like a multi-port oscillator or directional coupler with amplification. We show that the two-waveguide coupler with linear losses, the Vernier effect in coupled asymmetric micro-cavity lasers, and the so-called linear -symmetric dimer belong to this symmetry class of optical systems.
© 2015 Optical Society of America
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