Modal analysis of the impact of the boundaries on transverse Anderson localization in a one-dimensional disordered optical lattice

Abaie, Behnam; Hosseini, Seyed Hadi; Karbasi, Salman; Mafi, Arash

doi:10.1016/j.optcom.2015.12.019

Cited by 17 publications

(10 citation statements)

References 40 publications

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“…The MA-PDF encompasses all the relevant statistical information on TAL; it relies solely on the physics of the disordered system and the physical nature of the propagating wave, and is independent of the beam properties of the external excitation. It also makes the TAL behavior very transparent to the observer, where one can clearly differentiate between the localized and extended modes [30,31]. As such, one can strategize the optimization of the waveguide using desired objective functions.…”

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confidence: 99%

Modal area statistics for transverse Anderson localization in disordered optical fibers

Abaie

Mafi

2018

Opt. Lett.

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We introduce the mode-area probability density function (MA-PDF) as a powerful tool to study transverse Anderson localization (TAL), especially for highly disordered optical fibers. The MA-PDF encompasses all the relevant statistical information on TAL; it relies solely on the physics of the disordered system and is independent of the shape of the external excitation. We explore the scaling of the MA-PDF with the transverse dimensions of the system and show that it converges to a terminal form for structures considerably smaller than those used in experiments, hence substantially reducing the computational cost to study TAL.

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confidence: 99%

Modal area statistics for transverse Anderson localization in disordered optical fibers

Abaie

Mafi

2018

Opt. Lett.

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“…This caused a bit of debate, considering the perceived delocalizing impact of the boundaries in disordered TAL systems [47], [55]- [57], which was subsequently addressed in Ref. [58], as will be discussed in more detail in subsection III-B. In 2014, there was another successful attempt in observing TAL in an air-glass optical fiber by Chen and Li [59] at Corning Incorporated.…”

Section: Tal In Disordered Optical Fibersmentioning

confidence: 99%

“…However, Abaie et al later performed a detailed analysis in Ref. [58] and showed that the perceived suppressed localization near the boundaries is due to a lower mode density near the boundaries compared with the bulk, while the average decay rate of the tail of localized modes is the same near the boundaries as in bulk. Therefore, on average, it is less probable to excite a localized mode near the boundaries; however, once it is excited, its localization is with the same exponential decay rate as any other localized mode.…”

Section: B Tal Near the Disordered Fiber Boundariesmentioning

confidence: 99%

Disordered Anderson Localization Optical Fibers for Image Transport—A Review

Mafi

Ballato

Köch

et al. 2019

J. Lightwave Technol.

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Disordered optical fibers show novel waveguiding properties, enabled by the transverse Anderson localization of light, and are used for image transport. The strong transverse scattering from the transversely disordered refractive index structure results in transversely confined modes that can freely propagate in the longitudinal direction. In some sense, an Anderson localization disordered fiber behave like a large-core multimode optical fiber, with the advantage, that most modes are highly localized in the transverse plane, so any point in the cross section of the fiber can be used for localized beam transport. This property has been used for high-quality transportation of intensity patterns and images in these optical fibers. This review covers the basics and the history of the transverse Anderson localization in disordered optical fibers and captures the recent progress in imaging applications using these optical fibers.A. Mafi is with the

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“…Transverse Anderson localization (TAL) [5][6][7][8][9] has recently fostered a new class of disordered waveguides, in which strong transverse confinement mediated by Anderson-localized modes balances the diffraction of light as it propagates freely along the waveguide [10][11][12][13]. In a recent study, it has been shown that localized modes of a disordered fiber can be exploited for singlemode transmission [14].…”

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confidence: 99%