Scaling Behavior of the Anderson Localization Transition of Light

Aegerter, Christof M.; Störzer, Martin; Fiebig, Susanne; Bührer, W.; Maret, Georg

doi:10.1364/meta.2007.tua2

Cited by 5 publications

(6 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Figure 21: Even for a classical sample (with kl * 20) that appears white and which does not show significant rounding of the backscattering cone, absorption may be high enough to produce an exponential decrease in transmitted intensity, which appears incompatible with classical diffusion of light (dotted green line) Aegerter, Störzer, Fiebig, Bührer, and Maret [2007]. When determining the absorption length using time-resolved measurements (see below), the resulting exponential decrease (dashed blue line) fits very well with the static measurements.…”

Section: A)mentioning

confidence: 99%

Coherent Backscattering and Anderson Localization of Light

Aegerter

Maret

2009

Progress in Optics

View full text Add to dashboard Cite

Section: A)mentioning

confidence: 99%

Coherent Backscattering and Anderson Localization of Light

Aegerter

Maret

2009

Progress in Optics

View full text Add to dashboard Cite

“…in Ref. 53 which resemble more the work of electron transport 51,52,54 than the bound-state problem studied here.…”

Section: Discussionmentioning

confidence: 71%

Scaling analysis of transverse Anderson localization in a disordered optical waveguide

Abaie

Mafi

2016

Phys. Rev. B

View full text Add to dashboard Cite

The intention of this manuscript is twofold. First, the mode-width probability density function (PDF) is introduced as a powerful statistical tool to study and compare the transverse Anderson localization properties of a disordered one dimensional optical waveguide. Second, by analyzing the scaling properties of the mode-width PDF with the transverse size of the waveguide, it is shown that the mode-width PDF gradually converges to a terminal configuration. Therefore, it may not be necessary to study a real-sized disordered structure in order to obtain its statistical localization properties and the same PDF can be obtained for a substantially smaller structure. This observation is important because it can reduce the often demanding computational effort that is required to study the statistical properties of Anderson localization in disordered waveguides. Using the mode-width PDF, substantial information about the impact of the waveguide parameters on its localization properties is extracted. This information is generally obscured when disordered waveguides are analyzed using other techniques such as the beam propagation method. As an example of the utility of the mode-width PDF, it is shown that the cladding refractive index can be used to quench the number of extended modes, hence improving the contrast in image transport properties of disordered waveguides.

show abstract

“…In many cases, results obtained by fully analyzing a TALOF allow us to make broad conclusions due to the self-averaging behavior of the large number of modes supported by TALOFs. In many cases, it may also be possible to get by with simulating a much smaller structure, using the scaling properties of TAL structures [16,19,20,23,[99][100][101][102][103].…”

Section: Image Transport and Illumination Using Talofsmentioning

confidence: 99%

Review of a Decade of Research on Disordered Anderson Localizing Optical Fibers

Mafi

Ballato

2021

Front. Phys.

View full text Add to dashboard Cite

Nearly a decade ago, transverse Anderson localization was observed for the first time in an optical fiber with a random transverse refractive index profile. This started the development of a whole new class of optical fibers that guide light, not in a conventional core-cladding setting based on total internal reflection, but utilizing Anderson localization, where light can guide at any location across the transverse profile of the fiber. These fibers have since been used successfully in high-quality endoscopic image transport. They also show interesting nonlinear and active (lasing) properties with promising applications. This review will cover a brief history of these fibers with personal accounts of the events that led to their development in our research groups. It will then follow with recent progress and future perspectives on science and applications of these fibers.

show abstract

Scaling Behavior of the Anderson Localization Transition of Light

Cited by 5 publications

References 16 publications

Coherent Backscattering and Anderson Localization of Light

Coherent Backscattering and Anderson Localization of Light

Scaling analysis of transverse Anderson localization in a disordered optical waveguide

Review of a Decade of Research on Disordered Anderson Localizing Optical Fibers

Contact Info

Product

Resources

About