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Because the desire to explore opaque materials is ordinarily frustrated by multiple scattering of waves, attention has focused on the transmission matrix of the wave field. This matrix gives the fullest account of transmission and…

Optics · Physics 2015-02-13 Matthieu Davy , Zhou Shi , Jongchul Park , Chushun Tian , Azriel Z. Genack

Transmission eigenchannels and associated eigenvalues, that give a full account of wave propagation in random media, have recently emerged as a major theme in theoretical and applied optics. Here we demonstrate, both analytically and…

Optics · Physics 2015-09-30 Liyi Zhao , Chushun Tian , Yury P. Bliokh , Valentin Freilikher

Light-matter interactions inside turbid medium can be controlled by tailoring the spatial distribution of energy density throughout the system. Wavefront shaping allows selective coupling of incident light to different transmission…

Optics · Physics 2017-09-06 M. Koirala , R. Sarma , H. Cao , A. Yamilov

Transmission eigenchannels are building blocks of coherent wave transport in diffusive media, and selective excitation of individual eigenchannels can lead to diverse transport behavior. An essential yet poorly understood property is the…

Optics · Physics 2019-08-06 Hasan Yılmaz , Chia Wei Hsu , Alexey Yamilov , Hui Cao

Superscattering, induced by degenerate resonances, breaks the fundamental single-channel limit of scattering cross section of subwavelength structures; in principle, an arbitrarily large total cross section can be achieved via…

Classical Physics · Physics 2018-12-17 Chao Qian , Xiao Lin , Yi Yang , Xiaoyan Xiong , Huaping Wang , Erping Li , Ido Kaminer , Baile Zhang , Hongsheng Chen

Superresolution, extraordinary transmission, total absorption, and localization of electromagnetic waves are currently attracting growing attention. These phenomena are related to different physical objects and are usually studied within…

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

The diffusion model is used to calculate the time-averaged flow of particles in stochastic media and the propagation of waves averaged over ensembles of disordered static configurations. For classical waves exciting static disordered…

Disordered Systems and Neural Networks · Physics 2024-01-11 Azriel Z. Genack , Yiming Huang , Asher Maor , Zhou Shi

Dynamic modulation of material properties in space and time enables powerful control over wave propagation, yet existing theories largely rely on idealized, nondispersive models. In realistic media, frequency dispersion can strongly reshape…

Optics · Physics 2026-04-02 Klaas De Kinder , Christophe Caloz

Transmission eigenchannels and quasi-normal modes are powerful bases for describing wave transport and controlling transmission and energy storage in disordered media. Here we elucidate the connection between these approaches by expressing…

Disordered Systems and Neural Networks · Physics 2014-06-17 Zhou Shi , Azriel Genack

We study two-dimensional wave propagation in materials whose properties vary periodically in one direction only. High order homogenization is carried out to derive a dispersive effective medium approximation. One-dimensional materials with…

Numerical Analysis · Mathematics 2014-09-16 Manuel Quezada de Luna , David I. Ketcheson

We consider transverse propagation of electromagnetic waves through a two-dimensional composite material containing a periodic rectangular array of circular cylinders. Propagation of waves is described by the Helmholtz equation with the…

Mathematical Physics · Physics 2019-05-30 Yuri A. Godin , Boris Vainberg

The universal bimodal distribution of transmission eigenvalues in lossless diffusive systems un- derpins such celebrated phenomena as universal conductance fluctuations, quantum shot noise in condensed matter physics and enhanced…

Optics · Physics 2016-03-09 A. Yamilov , S. Petrenko , R. Sarma , H. Cao

The maximum deposition eigenchannel provides the largest possible power delivery to a target region inside a diffusive medium by optimizing the incident wavefront of a monochromatic beam. It originates from constructive interference of…

It is found that there exist composite media that exhibit strong spatial dispersion even in the very large wavelength limit. This follows from the study of lattices of ideally conducting parallel thin wires (wire media). In fact, our…

Recently, we have discovered a new concept of permanent wave resonance with potential spatial oscillations. This means the constant wave swinging frequency on the whole energy intervals of spectral forbidden zones destroying physical…

Quantum Physics · Physics 2008-03-13 B. N. Zakhariev , V. M. Chabanov

In two space dimensions and one time dimension a wave changes its shape even in the absence of a dispersive medium. However, this anomalous dispersive behavior in empty two-dimensional space does not occur if the wave dynamics is described…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Carl M. Bender , Francisco J. Rodriguez , Sarben Sarkar , Anatoly V. Zayats

A theory for multiple scattering of elastic waves is presented in a random medium bounded by two ideal free surfaces, whose horizontal size is infinite and whose transverse size is smaller than the mean free path of the waves. This geometry…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Nicolas P. Tregoures , Bart A. van Tiggelen

The eigenvalues of the transmission matrix provide the basis for a full description of the statistics of steady-state transmission and conductance. At the same time, the ability to excite the sample with the waveform of specific…

Disordered Systems and Neural Networks · Physics 2015-11-25 Zhou Shi , Azriel Z. Genack

A striking prediction from the random matrix theory in mesoscopic physics is the existence of "open channels": waves that can use multipath interference to achieve perfect transmission across an opaque disordered medium even in the…

Optics · Physics 2024-06-12 Ho-Chun Lin , Chia Wei Hsu
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