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B. A. van Tiggelen

Publications and source records attributed to B. A. van Tiggelen.

35 records · Page 2Linked to original sources
arXiv2007

Giant fluctuations of topological charge in a disordered wave guide

We study the fluctuations of the total topological charge of a scalar wave propagating in a hollow conducting wave guide filled with scatterers inside. We investigate the dependence of the screening on the scattering mean free path and on the presence of boundaries. Near the cut-off frequencies of the wave guide, screening is strongly suppressed near the boundaries. The resulting huge fluctuations of the total topological charge are very sensitive to the disorder.

cond-mat.other↗
arXiv2007

Zero-point momentum in Complex media

In this work we apply field regularization techniques to formulate a number of new phenomena related to momentum induced by electromagnetic zero-point fluctuations. We discuss the zero-point momentum associated with magneto-electric media, with moving media, and with magneto-chiral media.

quant-ph↗
arXiv2007

Mesoscopic phase statistics of diffuse ultrasound in dynamic matter

Temporal fluctuations in the phase of waves transmitted through a dynamic, strongly scattering, mesoscopic sample are investigated using ultrasonic waves, and compared with theoretical predictions based on circular Gaussian statistics. The fundamental role of phase in Diffusing Acoustic Wave Spectroscopy is revealed, and phase statistics are also shown to provide a sensitive and accurate way to probe scatterer motions at both short and long time scales.

cond-mat.mes-hall↗
arXiv2006

Fluctuations of local density of states and C0 speckle correlations are equal

We establish a conceptual relation between the fluctuations of the local density of states (LDOS) and intensity correlations in speckle patterns resulting from multiple scattering of waves in random media. We show that among known types of speckle correlations (C1, C2, C3, and C0) only C0 contributes to LDOS fluctuations in the infinite medium. We propose to exploit the equivalence of LDOS fluctuations and C0 intensity correlation as a `selection rule' for scattering processes contributing to C0.

cond-mat.dis-nn↗
arXiv2005

Dynamics of Anderson localization in open 3D media

We develop a self-consistent theoretical approach to the dynamics of Anderson localization in open three-dimensional (3D) disordered media. The approach allows us to study time-dependent transmission and reflection, and the distribution of decay rates of quasi-modes of 3D disordered slabs near the Anderson mobility edge.

cond-mat.dis-nn↗
arXiv2005

Weak localization of short pulses in disordered waveguides

We consider the phenomenon of weak localization of a short wave pulse in a quasi-1D disordered waveguide. We show that the long-time decay of the average transmission coefficient is not purely exponential, in contradiction with predictions of the diffusion theory. The diffusion theory breaks down completely for times exceeding the Heisenberg time. We also study the survival probability of a quantum particle in a disordered waveguide and compare our results with previous calculations using the super-symmetric nonlinear sigma model.

cond-mat.dis-nn↗
arXiv2004

Observation of Weak Localization of Seismic Waves

We report the observation of weak localization of seismic waves in a natural environment. It emerges as a doubling of the seismic energy around the source within a spot of width a wavelength, that is several tens of meters in our case. The characteristic time for its onset is the scattering mean free time, that quantifies the internal heterogeneity.

cond-mat.mes-hall↗
arXiv2003

Green function Retrieval and Time-reversal in a Disordered World

We apply the theory of multiple wave scattering to two contemporary, related topics: imaging with diffuse correlations and stability of time-reversal of diffuse waves, using equipartition, coherent backscattering and frequency speckles as fundamental concepts.

cond-mat.dis-nn↗
arXiv2003

Dynamics of weakly localized waves

We develop a transport theory to describe the dynamics of (weakly) localized waves in a quasi-1D tube geometry both in reflection and in transmission. We compare our results to recent experiments with microwaves, and to other theories such as random matrix theory and supersymmetric theory.

cond-mat.dis-nn↗
arXiv2003

Mesoscopic Correlation with Polarization of Electromagnetic Waves

Mesoscopic correlations are observed in the polarization of microwave radiation transmitted through a random waveguide. These measurements, supported by diagrammatic theory, permit the unambiguous identification of short, long, and infinite range components in the intensity correlation function, as well as an additional frequency-independent component.

cond-mat.dis-nn↗
arXiv2003

Probing Anderson localization of light via decay rate statistics

We have studied the distribution of resonant widths $P (Γ)$ in one-, two- and three dimensional multiple light scattering systems. $P (Γ)$ should follow a universal power law $P (Γ) \sim Γ^{-1}$ in the localized regime as confirmed by extensive numerical calculations. This behavior can be interpreted as an unambiguous signature of exponential Anderson localization of light in open systems.

cond-mat.mes-hall↗
arXiv2002

Magneto-chiral scattering of light: a new optical manifestation of chirality

We have investigated multiple scattering of light in systems subject to magneto-chiral (MC) effects. Our medium consists of magneto-optically active dipoles placed in a chiral geometry under the influence of an external magnetic field. We have calculated, for the first time, the total and the differential scattering MC cross sections of this system, explicitely showing that they are proportional to pseudoscalar quantities. This provides a new optical measure for the degree of chirality, a pseudoscalar g, of an arbitrary geometrical configuration of scatterers based on its scattering properties. We have calculated g for some simple chiral systems and we have even used it to probe the degree of optical chirality of random systems. Finally, we have compared $g$ with other recently defined chiral measures in literature.

cond-mat↗
arXiv1999

Coherent Backscattering of light in a magnetic field

This paper describes how coherent backscattering is altered by an external magnetic field. In the theory presented, magneto-optical effects occur inside Mie scatterers embedded in a non-magnetic medium. Unlike previous theories based on point-like scatterers, the decrease of coherent backscattering is obtained in leading order of the magnetic field using rigorous Mie theory. This decrease is strongly enhanced in the proximity of resonances, which cause the path length of the wave inside a scatterer to be increased. Also presented is a novel analysis of the shape of the backscattering cone in a magnetic field.

cond-mat.mes-hall↗
arXiv1999

Stokes parameters for light scattering from a Faraday-active sphere

We present an exact calculation for the scattering of light from a single sphere made of Faraday-active material, to first order in the external magnetic field. We use a recent expression for the T-matrix of a Mie scatterer in a magnetic field to compute the Stokes parameters in single scattering that describe completely flux and polarization of the scattered light.

cond-mat.mes-hall↗
arXiv1999

Transport Mean Free Path for Magneto-Transverse Light Diffusion

We derive an expression for the transport mean free path $\ell^*_\perp$ associated with magneto-transverse light diffusion for a random collection of Faraday-active Mie scatterers. This expression relates the magneto-transverse diffusion in multiple scattering directly to the magneto-transverse scattering of a single scatterer.

cond-mat.mes-hall↗
arXiv1999

Optics of a Faraday-active Mie Sphere

We present an exact calculation for the scattering of light from a single sphere made of a Faraday-active material, into first order of the external magnetic field. When the size of the sphere is small compared to the wavelength the known T-matrix for a magneto-active Rayleigh scatterer is found. We address the issue whether or not there is a so called \em Photonic Hall Effect - \em a magneto-transverse anisotropy in light scattering - for one Mie scatterer. In the limit of geometrical optics, we compare our results to the Faraday effect in a Fabry-Perot etalon.

cond-mat.mes-hall↗