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Reflections from hypersurfaces act by symplectomorphisms on the space of oriented lines with respect to the canonical symplectic form. We consider an arbitrary $C^{\infty}$-smooth hypersurface $\gamma\subset\mathbb R^{n+1}$ that is either a…

Dynamical Systems · Mathematics 2025-09-17 Alexey Glutsyuk

The propagation of waves through transmission eigenchannels in complex media is emerging as a new frontier of condensed matter and wave physics. A crucial step towards constructing a complete theory of eigenchannels is to demonstrate their…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Ping Fang , Chushun Tian , Liyi Zhao , Yury P. Bliokh , Valentin Freilikher , Franco Nori

The effect of asymmetric functionally graded material on the edge resonance and the Fano resonance in semi-infinite FGM plates are reported in this work. The edge resonance is weakened by the material perturbation and the complete mode…

Classical Physics · Physics 2021-06-02 Shengyu Tang , Wenping Bi , Jingwei Yin , Vincent Pagneux

A microscopic theory of the plasma resonance in layered metals is presented. It is shown that electron-impurity scattering can suppress the plasma resonance in the normal state and sharpen it in the superconducting state. Analytic…

Condensed Matter · Physics 2009-10-22 S. V. Pokrovsky , V. L. Pokrovsky

We develop a classification of perfectly transmitting resonances occuring in effectively one-dimensional optical media which are decomposable into locally reflection symmetric parts. The local symmetries of the medium are shown to yield…

We consider layered heterostructures combining ordinary positive index materials and dispersive metamaterials. We show that these structures can exhibit a new type of photonic gap around frequencies where either the magnetic permeability…

Spatial non-homogeneities can synchronize clusters of spatially-extended oscillators in different frequency plateaus. Motivated by physiological rhythms, we fully characterize the phase diagram of a Ginzburg-Landau (GL) model with a…

Pattern Formation and Solitons · Physics 2025-09-22 Marie Sellier-Prono , Massimo Cencini , David Kleinfeld , Massimo Vergassola

Statistical characterization of the signal-to-interference-plus-noise ratio (SINR) via its cumulative distribution function (CDF) is ubiquitous in a vast majority of technical contributions in the area of cellular networks since it boils…

Information Theory · Computer Science 2017-06-05 Imène Trigui , Sofiène Affes , Ben Liang

We analyze how the range of disorder affects the localization properties of quasiparticles in a two-dimensional d-wave superconductor within the standard non-linear sigma-model approach to disordered systems. We show that for purely…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luca Dell'Anna , Michele Fabrizio , Claudio Castellani

This letter analyses the effective capacity of communications system using unified models. In order to obtain a simple closed-form mathematically tractable expression, two different unified approximate models have been used. The mixture…

Information Theory · Computer Science 2018-04-26 H. Al-Hmood , H. S. Al-Raweshidy

A linear scattering problem for which incoming and outgoing waves are restricted to a finite number of radiation channels can be precisely described by a frequency-dependent scattering matrix. The entries of the scattering matrix, as…

Optics · Physics 2022-06-29 Hongyao Wu , Lijun Yuan , Ya Yan Lu

In this paper we develop homogenization theory for spatiotemporally modulated wire medium. We first solve for the modal waves that are supported by this composite medium, we show peculiar properties such as extraordinary waves that…

Applied Physics · Physics 2021-11-18 Michael Kreiczer , Yakir Hadad

Trapped atmosphere waves, such as IGW waveguide modes and Lamb modes, are described using dissipative solution above source (DSAS) (Dmitrienko and Rudenko, 2016). Accordingly this description, the modes are disturbances penetrating without…

Earth and Planetary Astrophysics · Physics 2015-12-29 G. V. Rudenko , I. S. Dmitrienko

The low-energy limits of models with disorder are frequently described by sigma models. In two dimensions, most sigma models admit either a Wess-Zumino-Witten or a theta term. When such a term is present the model can have a stable critical…

Superconductivity · Physics 2009-10-31 Paul Fendley , Robert M. Konik

We investigate the dynamic behavior of lattices with disorder introduced through non-local network connections. Inspired by the Watts-Strogatz small-world model, we employ a single parameter to determine the probability of local connections…

Applied Physics · Physics 2022-07-27 Matheus I. N. Rosa , Massimo Ruzzene

Anomalies near the conductance threshold of nearly perfect semiconductor quantum wires are explained in terms of singlet and triplet resonances of conduction electrons with a single weakly-bound electron in the wire. This is shown to be a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 T. Rejec , A. Ramsak , J. H. Jefferson

We consider, both theoretically and experimentally, the excitation and detection of the localized quasi-modes (resonances) in an open dissipative 1D random system. We show that even though the amplitude of transmission drops dramatically so…

Disordered Systems and Neural Networks · Physics 2007-05-23 K. Yu. Bliokh , Yu. P. Bliokh , V. Freilikher , A. Z. Genack , B. Hu , P. Sebbah

Phonon coherence elucidates the propagation and interaction of phonon quantum states within superlattice, unveiling the wave-like nature and collective behaviors of phonons. Taking MoSe$_2$/WSe$_2$ lateral heterostructures as a model…

Materials Science · Physics 2025-03-11 Xin Wu , Zhang Wu , Ting Liang , Zheyong Fan , Jianbin Xu , Masahiro Nomura , Penghua Ying

High-rank line-of-sight (LOS) MIMO systems have attracted considerable attention for millimeter wave and THz communications. The small wavelengths in these frequencies enable spatial multiplexing with massive data rates at long distances.…

Signal Processing · Electrical Eng. & Systems 2023-04-18 Yaqi Hu , Mingsheng Yin , Sundeep Rangan , Marco Mezzavilla

Asymptotic homogenisation is used to systematically derive reduced-order macroscopic models of conductive behaviour in spirally-wound layered materials in which the layers have very different conductivities. The problem is motivated by the…

Applied Physics · Physics 2020-11-10 Steven Psaltis , Robert Timms , Colin Please , S. Jonathan Chapman