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A geometric description of nonreciprocity in coupled two-mode systems
Published
Author(s)
Leonardo M. Ranzani, Jose A. Aumentado
Abstract
We explore the concept of nonreciprocity in coupled two-mode systems using a geometric mapping to the Poincaré sphere. From this perspective, we recast the requirements for nonreciprocity in terms of rotation and inversion symmetry arguments for the vector describing the two-mode state. We provide a few examples (the microwave circulator, parametric up/down converter, and traveling wave frequency converter) to demonstrate how this general geometric picture can provide insight into specific physical systems.
Ranzani, L.
and Aumentado, J.
(2014),
A geometric description of nonreciprocity in coupled two-mode systems, Physical Review X, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=915303
(Accessed October 8, 2025)