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We analyze long range wave propagation in three-dimensional random waveguides. The waves are trapped by top and bottom boundaries, but the medium is unbounded in the two remaining directions. We consider scalar waves, and motivated by…

Analysis of PDEs · Mathematics 2012-11-05 Liliana Borcea , Josselin Garnier

It is shown that tailored breaking of the translational symmetry through weak scattering in waveguides and optical fibers can control chromatic dispersions of the individual modes at any order; thereby, it overcomes the problem of coherent…

Quantum Physics · Physics 2020-01-03 A. Mandilara , C. A. Valagiannopoulos , V. M. Akulin

Systems of coupled cavity modes have the potential to provide bright quantum optical states of light in a highly versatile manner. Microring resonators for instance are highly scalable candidates for photon sources thanks to CMOS…

Quantum Physics · Physics 2021-06-04 Will McCutcheon

We present an analysis of wave propagation and reflection in an acoustic waveguide with random sound soft boundary and a turning point. The waveguide has slowly bending axis and variable cross section. The variation consists of a slow and…

Analysis of PDEs · Mathematics 2016-09-16 Liliana Borcea , Josselin Garnier

A systematic theory of the conductance measurements of non-invasive (weak probe) scanning gate microscopy is presented that provides an interpretation of what precisely is being measured. A scattering approach is used to derive explicit…

Mesoscale and Nanoscale Physics · Physics 2013-07-12 C. Gorini , R. A. Jalabert , W. Szewc , S. Tomsovic , D. Weinmann

We study the reflection and transmission properties of a system comprising two whispering-gallery mode resonators, each containing a Zeeman-split quantum dot and side-coupled to an optical fiber. Our results demonstrate that unidirectional…

Quantum Physics · Physics 2023-08-21 Gang Li , Ying-Qiao Zhang , Xing-Ri Jin

We show that coupling among multiple resonances can be conveniently introduced and controlled by boundary wave scattering. We demonstrate this principle in optical microcavities of quasi-circular shape, where the couplings of multiple modes…

We investigate single-photon scattering in a waveguide-QED setup, where a giant molecule composed of two frequency-detuned giant atoms is coupled to two parallel waveguides via multiple connection points. The competition between coherent…

Quantum Physics · Physics 2026-05-07 Ze-Quan Zhang , Guang-Zheng Ye , Wei-Xin Chen , Yong Li , Huaizhi Wu

We develop the generalized rotating-wave approximation (GRWA) approach (Phys. Rev. Lett. 99, 173601 (2007)) to study the single-photon scattering on a two-level system (TLS) with arbitrarily strong coupling to a local mode in a…

Quantum Physics · Physics 2012-12-03 Z. H. Wang , Yong Li , D. L. Zhou , Chang-pu Sun , Peng Zhang

We study the time-independent scattering of a planar gravitational wave propagating in the curved spacetime of a compact body with a polytropic equation of state. We begin by considering the geometric-optics limit, in which the…

General Relativity and Quantum Cosmology · Physics 2019-07-25 Tom Stratton , Sam R. Dolan

We study the dispersion relations in slow-light waveguide structures consisting of coupled microdisk resonators. A group theoretical analysis of the symmetry properties of the propagating modes reveals an interesting phenomenon: The…

Optics · Physics 2015-05-13 Jacob Scheuer , Mark Shtaif

We study wave scattering by a finite transversal strip in a discrete square-lattice waveguide with Dirichlet boundary conditions imposed on the strip and the waveguide walls. The setting is motivated as a discrete analogue of the classical…

Mathematical Physics · Physics 2026-02-12 Elena Medvedeva , Raphael Assier , Anastasia Kisil

Networks of nonlinear resonators offer intriguing perspectives as quantum simulators for non-equilibrium many-body phases of driven-dissipative systems. Here, we employ photon correlation measurements to study the radiation fields emitted…

We explore the finite dimensional distributions of the second-order scattering transform of a class of non-Gaussian processes when all the scaling parameters go to infinity simultaneously. For frequently used wavelets, we find a coupling…

Probability · Mathematics 2021-12-28 Gi-Ren Liu , Yuan-Chung Sheu , Hau-Tieng Wu

We review recent progress in analysing wave scattering in systems with both intrinsic chaos and/or disorder and internal losses, when the scattering matrix is no longer unitary. By mapping the problem onto a nonlinear supersymmetric…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. V. Fyodorov , D. V. Savin , H. -J. Sommers

This note analytically investigates non-reciprocal wave dispersion in locally resonant acoustic metamaterials. Dispersion relations associated with space-time varying modulations of inertial and stiffness parameters of the base material and…

Applied Physics · Physics 2018-01-11 M. A. Attarzadeh , H. Al Ba'ba'a , M. Nouh

We provide a theoretical framework to describe the interaction of a propagating guided matter wave with a localized potential in terms of quantum scattering in a confined environment. We analyze how this scattering correlates the…

Other Condensed Matter · Physics 2010-09-10 Giovanni Luca Gattobigio , Antoine Couvert , Bertrand Georgeot , David Guéry-Odelin

We present experiments where a single subwavelength scatterer is used to examine and control the back-scattering induced coupling between counterpropagating high-Q modes of a microsphere resonator. Our measurements reveal the standing wave…

Quantum Physics · Physics 2009-11-13 A. Mazzei , S. Gotzinger , L. de S. Menezes , G. Zumofen , O. Benson , V. Sandoghdar

Polymer microspherical resonators that trap light are crucial structures for on-chip and on-board integration in nanophotonic applications. Using advanced micromanipulation and thermo-welding methods, we successfully create welded…

We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal is to quantify the effect of scattering at randomly perturbed interfaces between the guiding layers of high index of refraction and the host…

Analysis of PDEs · Mathematics 2018-12-05 Liliana Borcea , Josselin Garnier