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Scattering matrices with block symmetry, which corresponds to scattering process on cavities with geometrical symmetry, are analyzed. The distribution of transmission coefficient is computed for different number of channels in the case of a…

chao-dyn · Physics 2008-02-03 Karol Życzkowski

We investigate the time- and momentum-resolved dynamics of matter waves undergoing elastic scattering from a disordered potential in the presence of spatially uniform SU(2) gauge fields. We derive the disorder-averaged density matrix as a…

Disordered Systems and Neural Networks · Physics 2026-04-21 Masataka Kakoi , Christian Miniatura , Keith Slevin

In this paper,we present a detailed formulation to solve the scattering wave function for a multi-terminal mesoscopic system with spin-orbit coupling. In addition to terminal currents, all local quantities can be calculated explicitly by…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yongjin Jiang , Liangbin Hu

In time reversal symmetric systems with half integral spins (or more concretely, systems with an antiunitary symmetry that squares to -1 and commutes with the Hamiltonian) the transmission eigenvalues of the scattering matrix come in pairs.…

Mesoscale and Nanoscale Physics · Physics 2008-09-23 J. H. Bardarson

For linear electromagnetic systems possessing time-reversal symmetry, we present an approach to bound ratios of internal fields excited from different ports, using only the scattering matrix (S matrix), improving upon previous related…

Optics · Physics 2025-06-24 Wenchao Ma , Raphaël Pestourie , Steven G. Johnson

We analyze the scattering of elliptically polarized plane waves normally incident at the planar interface between two different materials; we consider two cases: dielectric-dielectric and dielectric-conductor interfaces. The scattering…

Classical Physics · Physics 2011-04-15 M. Martínez-Mares , E. Castaño

Scattering thresholds and their associated spectral square root branch points are ubiquitous in photonics. In this Letter, we show that the scattering matrix has a simple universal behavior near scattering thresholds. We use unitarity,…

Optics · Physics 2022-01-12 Charles C. Wojcik , Haiwen Wang , Meir Orenstein , Shanhui Fan

In time-reversal invariant electronic systems the scattering matrix is anti-symmetric. This property enables an effect, designated here as "scattering anomaly", such that the electron transport does not suffer from back reflections,…

Optics · Physics 2017-03-03 Mario G. Silveirinha

We construct a scattering theory for harmonic one-forms on Riemann surfaces, obtained from boundary value problems involving systems of curves and the jump problem. We obtain an explicit expression for the scattering matrix in terms of…

Differential Geometry · Mathematics 2025-06-11 Eric Schippers , Wolfgang Staubach

We write explicitly a transformation of the scattering phases reducing the problem of quantum chaotic scattering for systems with M statistically equivalent channels at nonideal coupling to that for ideal coupling. Unfolding the phases by…

Disordered Systems and Neural Networks · Physics 2008-12-18 Dmitry V. Savin , Yan V. Fyodorov , Hans-Juergen Sommers

In this work we study the scattering and transfer matrices for electric fields defined with respect to an angular spectrum of plane waves. For these matrices, we derive the constraints that are enforced by conservation of energy,…

Optics · Physics 2021-02-17 Niall Byrnes , Matthew R. Foreman

This paper presents an analytical model for the fading channel correlation in general scattering environments. In contrast to the existing correlation models, our new approach treats the scattering environment as non-separable and it is…

Mathematical Physics · Physics 2007-07-13 Tharaka A. Lamahewa , Rodney A. Kennedy , Thushara D. Abhayapala , Terence Betlehem

We consider a two-level system coupled to a mesoscopic two-terminal conductor that acts as measuring device. As a convenient description of the conductor we introduce its scattering matrix. We show how its elements can be used to calculate…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Buttiker , S. Pilgram

The probability distribution of the proper delay times during scattering on a chaotic system is derived in the framework of the random matrix approach and the supersymmetry method. The result obtained is valid for an arbitrary number of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hans-Juergen Sommers , Dmitry V. Savin , Valentin V. Sokolov

Previous work developed a K-matrix formalism applicable to positive energies for the scattering between two $s$-wave interacting particles with two internal states, isotropic spin-orbit coupling and vanishing center-of-mass momentum [H.…

Quantum Gases · Physics 2016-08-23 Q. Guan , D. Blume

We present a general framework connecting global symmetries to the relativistic $S$-matrix through the lens of quantum information theory. Analyzing the 2-to-2 scattering of particles of any helicity, we systematically characterize…

High Energy Physics - Theory · Physics 2025-05-01 Navin McGinnis

Let $M$ be a scattering manifold, i.e., a Riemannian manifold with asymptotically conic structure, and let $H$ be a Schr\"odinger operator on $M$. We can construct a natural time-dependent scattering theory for $H$ with a suitable reference…

Analysis of PDEs · Mathematics 2012-03-28 Kenichi Ito , Shu Nakamura

The hemispherical Mueller matrix map for light reflected from a plane-parallel planetary atmosphere is shown to obey several symmetry properties that provide a straightforward method to check their physical realizability. The mirror…

Optics · Physics 2014-06-10 Adrian J. Brown , Yu Xie

Coherent control of atomic and molecular scattering relies on the preparation of colliding particles in superpositions of internal states, establishing interfering pathways that can be used to tune the outcome of a scattering process.…

Atomic Physics · Physics 2024-12-20 Adrien Devolder , Timur V. Tscherbul , Paul Brumer

Causality creates an asymmetry between space and time, even though the wave equation treats them on equal footing. In this work, we leverage this asymmetry to construct a cross-mapping between space and time. This cross-mapping is applied…

Optics · Physics 2015-04-09 Mohamed A. Salem , Christophe Caloz
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