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Motivated by applications to acoustic imaging, the present work establishes a framework to analyze scattering for the one-dimensional wave, Helmholtz, Schr\"odinger and Riccati equations that allows for coefficients which are more singular…

Analysis of PDEs · Mathematics 2022-02-28 Peter C. Gibson

A forward model is presented to an inverse scattering problem that arises in the application of reflective Fourier ptychographic microscopy. The model allows us to determine the 3D distributions of refractive index for weakly scattering…

Optics · Physics 2020-08-25 Shuhe Zhang , Tos Berendschot , Shuo Zhang

The scattering properties of randomly layered optical media with ${\cal PT}$-symmetric index of refraction are studied using the transfer-matrix method. We find that the transmitance decays exponentially as a function of the system size,…

Optics · Physics 2012-05-10 Samuel Kalish , Zin Lin , Tsampikos Kottos

Numerical results are presented for single-mode guidance, which is based on photonic band gap (PBG) effect, in one-dimensional planar all-dielectric light-guiding systems. In such systems there may be two kinds of light-speed point (the…

General Physics · Physics 2018-06-20 Changbiao Wang

We study the transmission of light through a system consisting of an arbitrary number $N$ of microtoroidal resonators coupled to a one-dimensional (1D) waveguide. The transmission $T$ through such a system and its full-width at half-maximum…

Optics · Physics 2017-06-09 Thi Phuc Tan Nguyen , Leonid Krivitsky , Leong Chuan Kwek

While controlling particle diffusion in a confined geometry is a popular approach taken by both natural and artificial systems, it has not been widely adopted for controlling light transport in random media, where wave interference effects…

Optics · Physics 2016-01-06 Raktim Sarma , Alexey Yamilov , Seng Fatt Liew , Mikhael Guy , Hui Cao

We address correlated few-photon transport in one-dimensional waveguides coupled to a two-level system (TLS), such as an atom or a quantum dot. We derive exactly the single-photon and two-photon current (transmission) for linear and…

Optics · Physics 2015-05-19 Dibyendu Roy

The capacity of information delivered by single photons is boosted by encoding high-dimensional quantum dits in their transverse shape. Transporting such high-dimensional quantum dits in optical networks may be accomplished using multimode…

The coupling of atomic arrays and one-dimensional subwavelength waveguides gives rise to in- teresting photon transport properties, such as recent experimental demonstrations of large Bragg reflection and paves the way for a variety of…

The influence of electromagnetic radiation on the electron transport in a quantum channel with a single short-range scatterer is investigated using a generalized Landauer-Buttiker approach. We have shown that asymmetrical position of the…

Mesoscale and Nanoscale Physics · Physics 2009-09-03 M. A. Pyataev , S. N. Ulyanov

We analyse the single-mode transmission of microwaves in a guide with internal random structure. The waveguide contains scatterers characterised by random heights and positions, corresponding to compositional and structural disorder. We…

Mesoscale and Nanoscale Physics · Physics 2014-01-28 O. Dietz , U. Kuhl , J. C. Hernández-Herrejón , L. Tessieri

We suggest the numerical approach to detect eigenfrequencies of trapped modes in waveguides or guided waves in diffraction gratings. At the same time, the approach works perfectly for computation of systems with finitely many scattering…

Quantum Physics · Physics 2007-05-23 Valery E. Grikurov

We consider wave propagation across an infinite waveguide of an arbitrary bounded cross-section, whose interior is blocked by two identical thick barriers with holes. When the holes are small, the waves over a broad range of frequencies are…

Mathematical Physics · Physics 2021-10-14 A. Delitsyn , D. S. Grebenkov

We develop a new computational tool and framework for characterizing the scattering of photons by energy-nonconserving Hamiltonians into unidirectional (chiral) waveguides, for example, with coherent pulsed excitation. The temporal…

Quantum Physics · Physics 2018-05-30 Kevin A. Fischer , Rahul Trivedi , Vinay Ramasesh , Irfan Siddiqi , Jelena Vučković

We study the transport of a single photon in two coupled one-dimensional semi-infinite coupled-resonator waveguides (CRWs), in which both end sides are coupled to a dissipative cavity. We demonstrate that a single photon can transfer from…

Quantum Physics · Physics 2017-06-14 Xun-Wei Xu , Ai-Xi Chen , Yong Li , Yu-xi Liu

We solve the Klein-Gordon equation in the presence of a spatially one-dimensional cusp potential. The scattering solutions are obtained in terms of Whittaker functions and the condition for the existence of transmission resonances is…

High Energy Physics - Theory · Physics 2008-11-26 Victor M. Villalba , Clara Rojas

We study the dynamics of single-photon absorption by a single emitter coupled to a one-dimensional waveguide that simultaneously provides channels for spontaneous emission decay and a channel for the input photon. We have developed a…

Optics · Physics 2012-08-21 Yuntian Chen , Martijn Wubs , Jesper Mork , A. Femius Koenderink

A resonant two level atom doped in one dimensional waveguide behaves as a mirror, but this single-atom "mirror" can only reflect single photon perfectly at a specific frequency. For a one dimensional coupled-resonator waveguide, we propose…

Quantum Physics · Physics 2015-03-17 Yue Chang , Z. R. Gong , C. P. Sun

We model electronic transport through a double quantum wire in an external homogeneous perpendicular magnetic field using a scattering formalism built on the Lippmann-Schwinger equation. In the scattering region a window is opened between…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vidar Gudmundsson , Chi-Shung Tang

We propose an efficient single-photon router comprising two resonator waveguide channels coupled by several sequential cavities with embedded three-level atoms. We show that the system can operate as a perfect four-way single-photon switch.…

Quantum Physics · Physics 2019-03-27 M. Ahumada , P. A. Orellana , F. Domínguez-Adame , A. V. Malyshev