Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session K13: Integrated Photonics
3:00 PM–5:48 PM,
Tuesday, March 5, 2024
Room: M100D
Sponsoring
Unit:
FIAP
Chair: Shriram Ramanathan, Rutgers University
Abstract: K13.00005 : A Novel Parametrization of Arbitrary Complex Matrices for Photonic Realization of General Discrete Linear Transformations*
3:48 PM–4:00 PM
Presenter:
Kevin Zelaya
(Queens College, City University of New York)
Authors:
Kevin Zelaya
(Queens College, City University of New York)
Mohammad-Ali Miri
(City University of New York / Queens College)
Matthew Markowitz
(The Graduate Center, City University of New York, New York)
This talk presents a broader class of factorizations that allows for parametrizing arbitrary complex-valued square matrices in terms of diagonal matrices alternating with a fixed unitary matrix. This novel architecture can implement general discrete linear operations, where unitary operations are recovered as a particular case. The proposed architecture is built on factorizing an NxN matrix operator in terms of N+1 amplitude and N+1 phase modulation layers, interlaced with fixed unitary layers implemented via a coupled waveguide array. The proposed architecture enables the development of novel families of programmable lossy and lossless photonic circuits for on-chip analog information processing.
*Air Force Office of Scientific Research (FA9550-22-1-0189)
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