Ranzani, L.
and Aumentado, J.
(2015),
Graph-based analysis of nonreciprocity in coupled-mode systems, Physical Review A, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=916207 (Accessed May 5, 2026)
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
Graph-based analysis of nonreciprocity in coupled-mode systems
Published
Author(s)
,
Abstract
In this work we derive the general conditions for obtaining nonreciprocity in multi-mode parametrically- coupled systems. The results can be applied to a broad variety of optical, microwave, and hybrid systems including recent electro- and opto-mechanical devices. In deriving these results, we use a graph-based methodology to derive the scattering matrix. This approach naturally expresses the terms in the scattering coefficients as separate graphs corresponding to distinct coupling paths between modes such that it is evident that nonreciprocity arises as a consequence of multi-path interference and dissipation in key ancillary modes. These concepts facilitate the construction of new devices in which several other characteristics might also be simultaneously optimized. As an example, we synthesize a novel three-mode unilateral amplifier design by use of graphs. Finally, we analyze the isolation generated in a common parametric multi-mode system, the dc-SQUID.Citation
Physical Review A
Pub Type
Journals
Download Paper
Keywords
microwave devices, Josephson devices, optical devices, nonreciprocity
Citation
Issues
If you have any questions about this publication or are having problems accessing it, please contact [email protected].
Created February 10, 2015, Updated February 19, 2017