Propagation of Light in Disordered Semiconductor Materials

Lagendijk, Ad; Rivas, Jaime Gómez; Imhof, Arnout; Schuurmans, Frank J. P.; Sprik, R.

doi:10.1007/978-94-010-0738-2_32

Cited by 16 publications

(12 citation statements)

References 29 publications

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“…(In transmission, Q is of order unity while φ' ~ L 2 /7c.) Good agreement between theory and experiment has been obtained both with microwaves [11] and with light [4]. The microwave data is reproduced in Fig.…”

Section: Transmissionsupporting

confidence: 65%

“…Unlike the conventional coherent backscattering effect in the static intensity, the dynamic effect requires localization for its existence. The recent progress in time-resolved measurements of light scattering from random media, reported at this meeting [4], should enable observation of this effect. Extension of the theory to two-and three-dimensional localization remains a challenging problem for future research.…”

Section: Resultsmentioning

confidence: 87%

“…The low-frequency regime is most relevant for optical and microwave experiments [4,10,11], where one usually works with an incident beam that has a narrow frequency bandwidth relative to the inverse propagation time through the System. We assume that the length L of the waveguide is long compared to the (static) localization length ξ = Nl, which is equal to the product of the number of propagating modes 7V and the mean free path l. The reflected wave amplitudes r mn in mode m (for unit incident wave amplitude in mode n) are contained in an N χ N reflection matrix r. This matrix is unitary, provided we can disregard absorption in the waveguide.…”

Section: Low-frequency Dynamicsmentioning

confidence: 99%

“…The signature of static localization, an exponential decay of the transmitted intensity with distance, is not unique, since absorption gives an exponential decay äs well [4]. This is at the origin of the difficulties surrounding an unambiguous demonstration of three-dimensional localization of light [5].…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of localization in a waveguide

Beenakker

2001

Photonic Crystals and Light Localization in the 21st Century

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Abstract. This is a review of the dynamics of wave propagation through a disordered JV-mode waveguide in the localized regime. The basic quantities considered are the Wigner-Smith and single-mode delay times, plus the time-dependent power spectrum of a reflected pulse. The long-time dynamics is dominated by resonant transmission over length scales much larger than the localization length. The corresponding distribution of the Wigner-Smith delay times is the Laguerre ensemble of random-matrix theory. In the power spectrum the resonances show up äs a t~2 tail after Λ'' 2 scattering times. In the distribution of single-mode delay times the resonances introduce a dynamic coherent backscattering effect, that provides a way to distinguish localization from absorption.

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Section: Transmissionsupporting

confidence: 65%

Section: Resultsmentioning

confidence: 87%

Section: Low-frequency Dynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamics of localization in a waveguide

Beenakker

2001

Photonic Crystals and Light Localization in the 21st Century

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“…On the other hand, new techniques were developed that allow accessibility to various quantities associated with the scattering process. Among them is the Wigner delay time 18,19,20 which captures the timedependent aspects of quantum scattering. It can be interpreted as the typical time an almost monochromatic wave packet remains in the interaction region.…”

Section: Introductionmentioning

confidence: 99%

Probing the eigenfunction fractality using Wigner delay times

Méndez-Bermúdez

Kottos

2005

Phys. Rev. B

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We study numerically the distribution of scattering phases P(Φ) and of Wigner delay times P(τW ) for the power-law banded random matrix (PBRM) model at criticality with one channel attached to it. We find that P(Φ) is insensitive to the position of the channel and undergoes a transition towards uniformity as the bandwidth b of the PBRM model increases. The inverse moments of Wigner delay times scale as τ −q W ∼ L −qD q+1 , where Dq are the multifractal dimensions of the eigenfunctions of the corresponding closed system and L is the system size. The latter scaling law is sensitive to the position of the channel.

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Porous gallium phosphide: challenging material for nonlinear‐optical applications

Melnikov

Golovan

Konorov

et al. 2005

phys. stat. sol. (c)

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PACS 42.25.Lc, 42.65.Ky, 78.55.Mb, 82.45.Vp Electrochemically produced porous GaP layers demonstrate strong non-Rayleigh light scattering in visible range. Moreover, (110) porous GaP layers exhibit in-plane birefringence. Both properties offer much promises for enhanced nonlinear-optical processes. We report experimental studies of spectral and orientation dependences of the second-harmonic generation in (110) and (111) porous GaP layers. An order of magnitude increase of the second-harmonic intensity was found in the strongly scattering porous GaP layers in comparison with monocrystalline GaP. The spectral dependence of the second-harmonic intensity was discussed in terms of the phase matching and light localization phenomena.

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Propagation of Light in Disordered Semiconductor Materials

Cited by 16 publications

References 29 publications

Dynamics of localization in a waveguide

Dynamics of localization in a waveguide

Probing the eigenfunction fractality using Wigner delay times

Porous gallium phosphide: challenging material for nonlinear‐optical applications

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