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Inducing nonreciprocal wave propagation is a fundamental challenge across a wide range of physical systems in electromagnetics, optics, and acoustics. Recent efforts to create nonreciprocal devices have departed from established…

We have developed the mode matching technique that is based on the using the eigenmodes of circular cavities and the eigenwaves of circular waveguides as the basic functions for calculation the properties of nonuniform disc-loaded…

Accelerator Physics · Physics 2015-05-14 M. I. Ayzatsky , V. V. Mytrochenko

Novel photonic structures such as multi-core fibers and graphene based arrays present unique opportunities to manipulate and control the propagation of light. Here we discuss nonlinear dynamics for structures with a few (2 to 6) elements…

A general theory of nonlinear signal-noise interactions for wavelength division multiplexed fiber-optic coherent transmission systems is presented. This theory is based on the regular perturbation treatment of the nonlinear Schrodinger…

Information Theory · Computer Science 2017-04-24 Amirhossein Ghazisaeidi

Interface theories are powerful frameworks supporting incremental and compositional design of systems through refinements and constructs for conjunction, and parallel composition. In this report we present a first Interface Theor -- |Modal…

Logic in Computer Science · Computer Science 2020-11-19 Albert Benveniste , Kim Larsen , Jean-Baptiste Raclet

The theory of mixed-feedback systems provides an effective framework for the design of robust and tunable oscillations in nonlinear systems characterized by interleaved fast positive and slow negative feedback loops. The goal of this paper…

Dynamical Systems · Mathematics 2024-12-11 Omar Juarez-Alvarez , Alessio Franci

We address nonlinear signal switching between two low-index defect channels induced in periodic optical lattices. In contrast to conventional directional couplers, where the guiding mechanism is total internal reflection or refraction, in…

A frequency domain model of multimode circular microresonators for filter applications in integrated optics is investigated. Analytical basis modes of 2D bent waveguides or curved interfaces are combined with modes of straight channels in a…

Mathematical Physics · Physics 2007-05-23 K. R. Hiremath , R. Stoffer , M. Hammer

Transport is called nonreciprocal when not only the sign, but also the absolute value of the current, depends on the polarity of the applied voltage. It requires simultaneously broken inversion and time-reversal symmetries, e.g., by the…

In the present paper, a multi-frequency optical non-reciprocal transmission is first realized by using a non-Hermitian multi-mode resonator array.We find that the non-reciprocity can be used to route optical signals, to prevent the reverse…

Optics · Physics 2024-09-04 Jin-Xiang Xue , Chuan-Xun Du , Chengchao Liu , Liu Yang , Yong-Long Wang

This paper addresses the amplitude and phase dynamics of a large system non-linear coupled, non-identical damped harmonic oscillators, which is based on recent research in coupled oscillation in optomechanics. Our goal is to investigate the…

Chaotic Dynamics · Physics 2015-06-23 P. Cudmore , C. A. Holmes

A hallmark of living systems is the ability to employ a common set of versatile building blocks that can self-organize into a multitude of different structures, in a way that can be controlled with minimal cost. This capability can only be…

Statistical Mechanics · Physics 2022-01-26 Saeed Osat , Ramin Golestanian

The superconducting version of a diode effect has been the subject of extensive research in the past few years. So far, the focus has almost exclusively been on charge transport, but a natural question is whether it is possible to obtain…

Superconductivity · Physics 2025-08-06 Chi Sun , Johanne Bratland Tjernshaugen , Jacob Linder

Superconducting electronics offer significant advantages in speed and power efficiency for next-generation computing and communication systems. However, their practical deployment is limited by the absence of simple, efficient, and scalable…

Superconductivity · Physics 2025-09-01 Razmik A. Hovhannisyan , Amirreza Lotfian , Taras Golod , Vladimir M. Krasnov

Nonlinear optomechanical coupling is the basis for many potential future experiments in quantum optomechanics (e.g., quantum non-demolition measurements, preparation of non-classical states), which to date have been difficult to realize due…

Supercurrent diodes are nonreciprocal electronic elements whose switching current depends on their flow direction. Recently, a variety of composite systems combining different materials and engineered asymmetric superconducting devices have…

The ability to create linear systems that manifest broadband nonreciprocal wave propagation would provide for exquisite control over acoustic signals for electronic filtering in communication and noise control. Until now, acoustic…

Applied Physics · Physics 2020-08-26 Aritra Sasmal , Nathan Geib , Karl Grosh

The subject of the work are pairs of linearly coupled PT-symmetric dimers. Two different settings are introduced, namely, straight-coupled dimers, where each gain site is linearly coupled to one gain and one loss site, and cross-coupled…

Pattern Formation and Solitons · Physics 2013-12-13 K. Li , P. G. Kevrekidis , B. A. Malomed

We theoretically investigate the optical response of a one-dimensional array of strongly nonlinear optical microcavities. When the optical nonlinearity is much larger than both losses and inter-cavity tunnel coupling, the non-equilibrium…

Other Condensed Matter · Physics 2013-05-29 Iacopo Carusotto , Dario Gerace , Hakan Tureci , Simone De Liberato , Cristiano Ciuti , Atac Imamoglu

The effect of a Kerr nonlinearity on dynamical tunneling is studied, using coupled whispering gallery modes in an optical microcavity. The model system that we have chosen is the 'add-drop filter', which comprises an optical microcavity and…

Optics · Physics 2016-12-07 Jeong-Bo Shim , Peter Schlagheck , Martina Hentschel , Jan Wiersig