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We investigate non-linear elastic deformations in the phase field crystal model and derived amplitude equations formulations. Two sources of non-linearity are found, one of them based on geometric non-linearity expressed through a finite…

Materials Science · Physics 2016-06-15 C. Hüter , M. Friák , M. Weikamp , J. Neugebauer , N. Goldenfeld , B. Svendsen , R. Spatschek

In this paper we describe how to derive the expressions for the higher nonlinear generation of waves, their transmission and reflection for the case of a normal incidence plane wave by direct superposition of nonlinear dipoles. We describe…

Materials Science · Physics 2020-08-27 Hendradi Hardhienata

We present a practical scheme to separate the contributions of the electric quadrupole-like and the magnetic dipole-like effects to the forbidden second order optical nonlinear response of graphene, and give analytic expressions for the…

Materials Science · Physics 2017-03-08 J. L. Cheng , N. Vermeulen , J. E. Sipe

We elucidate the consequences of a phase-matching theory that describes second-harmonic generation of two non-collinear incident light beams that carry orbital angular momentum (OAM). More specifically, the two incident beams generate a…

Optics · Physics 2013-09-06 Thomas Roger , Julius J. F. Heitz , Ewan. M. Wright , Daniele Faccio

In this paper, the interaction of an incident finite amplitude longitudinal wave with a localized region of nonlinearity is considered. This interaction produces a secondary field represented by a superposition of first-, second-, and…

Applied Physics · Physics 2018-05-09 Christopher M. Kube , Andrea P. Arguelles , Brandon McWilliams

It has been suggested that second-order nonlinearities could be used for quantum logic at the single-photon level. Specifically, successive two-photon processes in principle could accomplish the phase shift (conditioned on the presence of…

Quantum Physics · Physics 2018-03-21 Balakrishnan Viswanathan , Julio Gea-Banacloche

This paper presents a multiscale decomposition algorithm. Unlike standard wavelet transforms, the proposed operator is both linear and shift invariant. The central idea is to obtain shift invariance by averaging the aligned wavelet…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Andreas Siebert

In nonlinear systems, small perturbations are conventionally attributed to negligible nonlinearity, justifying linear approximations. Here, we uncover a notable exception to this paradigm in an electrokinetic (EK) flow. Using a novel dual…

Fluid Dynamics · Physics 2026-04-16 Jin'an Pang , Guangyin Jing , Xiaoqiang Feng , Kaige Wang , Wei Zhao

Stochastic resonance is a general phenomenon usually observed in one-dimensional, amplitude modulated, bistable systems.We show experimentally the emergence of phase stochastic resonance in the bidimensional response of a forced…

This research sets forth a universal framework to characterize the beamforming gain achievable with arbitrarily nonideal phase shifters. Precisely, the maximum possible shortfall relative to the gain attainable with ideal phase shifters is…

Signal Processing · Electrical Eng. & Systems 2026-01-15 Heedong Do , Angel Lozano

The optical path lengths travelled by rays across a wavefront essentially determine the resulting phase front irrespective of the shape of a medium according to the principle of equal optical path. Thereupon we propose a method for the…

Optics · Physics 2015-06-03 Yougang Ke , Weixing Shu , Hailu Luo , Shuangchun Wen , Dianyuan Fan

In this article we theoretically study the phase shift a single atom imprints onto a coherent state light beam in free space. The calculations are performed in a semiclassical framework. The key parameters governing the interaction and thus…

Quantum Physics · Physics 2013-10-03 Markus Sondermann , Gerd Leuchs

Any quantum device that amplifies coherent states of a field while preserving their phase generates noise. A nonlinear, phase-invariant amplifier may generate less noise, over a range of input field strengths, than any linear amplifier with…

Condensed Matter · Physics 2009-10-22 Dmitri Kouznetsov , Roberto Ortega , Daniel Rohrlich

We investigate reinforced non-linear urns with interacting types, and show that where there are three interacting types there are phenomena which do not occur with two types. In a model with three types where the interactions between the…

Probability · Mathematics 2021-11-01 Marcelo Costa , Jonathan Jordan

We demonstrate suppression and enhancement of spontaneous parametric down- conversion via quantum interference with two weak fields from a local oscillator (LO). Pairs of LO photons are observed to upconvert with high efficiency for…

Quantum Physics · Physics 2009-11-07 K. J. Resch , J. S. Lundeen , A. M. Steinberg

The Levinson theorem for two-dimensional scattering is generalized for potentials with inverse square singularities. By this theorem, the number of bound states in a given m-th partial wave is related to the phase shift and the singularity…

Quantum Physics · Physics 2013-05-29 Denis D. Sheka , Boris A. Ivanov , Franz G. Mertens

The chaotic synchronization of two electron-wave media with interacting backward waves and cubic phase nonlinearity is investigated in the paper. To detect the chaotic synchronization regime we use a new approach, the so-called time scale…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Pavel V. Popov , Irene S. Rempen

Coherent motion of electrons in a twisted quantum ring is considered to explore the effect of torsion inherent to the ring. Internal torsion of the ring composed of helical atomic configuration yields a non-trivial quantum phase shift in…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Hisao Taira , Hiroyuki Shima

In contrast to static holographic phase shifters, which are restricted to specific electron beam energies and microscope settings, Boersch phase shifters are promising for creating programmable arrays for generating two- and…

Second-order nonlinear optical processes are used to convert light from one wavelength to another and to generate quantum entanglement. Creating chip-scale devices to more efficiently realize and control these interactions greatly increases…