Boris Shapiro

Technion – Israel Institute of Technology

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Tsampikos Kottos

Wesleyan University

MÉ

M. É. Raǐkh

University of Utah

Vadym Apalkov

Georgia State University

Huanan Li

Nankai University

Reuven Pnini

Okinawa Institute of Science and Technology Graduate University

Mário G. Silveirinha

Instituto de Telecomunicações

БВ

Б. В. Шульгин

Sechenov University

A. Kozlov

Gubkin Russian State University of Oil and Gas

Pier A. Mello

Universidad Nacional Autónoma de México

Lucas J. Fernández-Alcázar

Centro Científico Tecnológico - Nordeste

Cooperative Institutions

Technion – Israel Institute of Technology

Centre National de la Recherche Scientifique

Wesleyan University

University of Utah

University of Würzburg

University of California, Santa Barbara

University of Kassel

Weizmann Institute of Science

Tel Aviv University

Bar-Ilan University

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Thermal fluctuations of the electric field in the presence of carrier drift

Physical Review B (2010)

Boris Shapiro

We consider a semiconductor in a nonequilibrium steady state with a dc current. On top of the stationary carrier motion there are fluctuations. It is shown that the stationary motion of the carriers (i.e., their drift) can have a profound effect on the electromagnetic field fluctuations in the bulk of the sample as well as outside it, close to the surface (evanescent waves in the near field). The effect is particularly pronounced near the plasma frequency. This is because drift leads to a significant modification of the dispersion relation for the bulk and surface plasmons.

Drift current

Dispersion relation

10.1103/physrevb.82.075205

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Citations (15)

Statistics of resonances in a semi-infinite disordered chain

Physical Review B (2008)

Hervé Kunz Boris Shapiro

We study the average density of resonances (DOR) for a semi-infinite disordered chain, coupled to the outside world by a (semi-infinite) perfect lead. A set of equations is derived, which provides the general framework for calculating the average DOR, for an arbitrary disorder and coupling strength. These general equations are applied to the case of weak coupling and an asymptotically exact expression for the averaged DOR is derived, in the limit of small resonance width. This expression is universal, in the sense that it holds for any degree of disorder and everywhere in the (unperturbed) energy band.

Chain (unit)

Expression (computer science)

Degree (music)

10.1103/physrevb.77.054203

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Citations (18)

Coherent random lasing: trapping of light by the disorder

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE (2004)

Mikhail Raikh Vadym Apalkov Boris Shapiro Randal C. Polson Z. Valy Vardeny

Recent discovery of the coherent lasing from various disordered materials adds a new dimension to the conventional physics of light propagation in multiply scattering media. It suggests that in the situation, when the propagation of light is diffusive on average, the coherent feedback can be provided by the sparse disorder configurations that efficiently trap a photon, and thus, serve as random resonators. This scenario of random resonators has been substantiated experimentally by the ensemble averaging of the power Fourier transforms of the random emission spectra. In this paper the current status of the experiment and theory of coherent random lasing is reviewed.

Random laser

10.1117/12.543550

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Citations (3)

Manifestation of the Intrinsic Band Structure of a Disordered Photonic Crystal in Near-Field Intensity Correlations

Vadym Apalkov M. É. Raǐkh Boris Shapiro

A wave propagating in a random medium undergoes multiple scattering and forms a complicated intensity pattern, commonly referred to as a speckle pattern. It is described in statistical terms, with the help of probability distributions and correlation functions. The intensity correlation function, 〈δI(r)δI(r′)〉, where δI(r) is the deviation from the averaged intensity at point r, contains a short range term C1(r, r′), which oscillates on a scale of the wave length and exponentially decays beyond the mean free path [1].

Intensity

10.1364/fio.2004.fwh52

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Conductance distribution at the mobility edge

Physical Review Letters (1990)

Boris Shapiro

It is shown that, for a system at the mobility edge, the conductance distribution ${\mathit{P}}_{\mathit{L}}$(g) approaches an entirely universal function ${\mathit{P}}^{\mathrm{*}}$(g) when the size L of the system increases. The function ${\mathit{P}}^{\mathrm{*}}$(g) depends on dimensionality d alone and does not depend on any details of the model. In obtaining ${\mathit{P}}^{\mathrm{*}}$(g) use was made of the conductance cumulants calculated by Altshuler, Kravtosv, and Lerner [Phys. Lett. A 134, 488 (1989)]. The calculations are limited to spatial dimension d=2+\ensuremath{\epsilon}, where \ensuremath{\epsilon} is a small number.

10.1103/physrevlett.65.1510

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Citations (85)

Comment on “Weak‐field orbital magnetism of mesoscopic samples”

Annalen der Physik (1999)

E. Gurevich János Hajdu Boris Shapiro

Mesoscopic physics

10.1002/andp.19995110605

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New Type of Intensity Correlation in Random Media

Physical Review Letters (1999)

Boris Shapiro

A monochromatic point source, embedded in a three-dimensional disordered medium, is considered. The resulting intensity pattern exhibits a new type of long-range correlation. The range of these correlations is infinite and their magnitude, normalized to the average intensity, is of order $1/{k}_{0}\ensuremath{\ell}$, where ${k}_{0}$ and $\ensuremath{\ell}$ are the wave number and the mean free path, respectively.

Intensity

Monochromatic color

10.1103/physrevlett.83.4733

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Citations (63)

An equivalence between two renormalisation group transformations for the percolation problem

Journal of Physics C Solid State Physics (1978)

Boris Shapiro

The one-parameter renormalisation group transformation of Reynolds et al. (1977) for the site percolation problem in d dimensions is studied. Upper and lower bounds for the transformation are derived. It is shown that in the limit b to 1 (b is the scaling factor) Reynold's et al. transformation is identical to Kirkpatrick's transformation (1977) for the bond percolation problem.

Percolation (cognitive psychology)

10.1088/0022-3719/11/21/003

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Citations (3)

Metrological support of fast wide-range scintillation detectors

Measurement Techniques (1992)

L. V. Viktorov А. В. Кружалов В. Л. Петров Б. В. Шульгин V. M. Lakhov

Liquid Scintillation Counting

10.1007/bf00977068

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Fluctuations in transmission of waves through disordered slabs

Physical review. B, Condensed matter (1989)

Reuven Pnini Boris Shapiro

We consider a wave propagating through a disordered slab of thickness L (and infinite in transverse directions). We calculate fluctuations in transmission for an arbitrary width W of the incident beam. Our results demonstrate that one should distinguish between two regimes: L\ensuremath{\ll}W (plane wave) and L\ensuremath{\gg}W (narrow beam). Whereas the average transmission is the same in both regimes, fluctuations in transmission are quite different and have a different dependence on L and W. We also consider long-range correlations in the intensity of the wave.

Slab

Intensity

10.1103/physrevb.39.6986

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Citations (122)