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From the spread of pollutants in the atmosphere to the transmission of nutrients across cell membranes, anomalous diffusion processes are ubiquitous in natural systems. The ability to understand and control the mechanisms guiding such…

Statistical Mechanics · Physics 2021-01-04 E G Kostadinova , J L Padgett , C D Liaw , L S Matthews , T W Hyde

We theoretically study reflection and transmission of light in a one-dimensional disordered phase-conjugating medium. Using an invariant imbedding approach a Fokker-Planck equation for the distribution of the probe light reflectance and…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Blaauboer

The supercell method is used to study the variation of the photonic bandgaps in one-dimensional photonic crystals under random perturbations to thicknesses of the layers. The results of both plane wave and analytical band structure and…

Optics · Physics 2009-11-11 H. S. Sozuer , K. Sevim

The propagation of light through a random medium is an important problem in photonics. When the random fluctuations of the orientation for individual rods were introduced to the ideal woodpile photonic structure, a crossover from Laue…

We report a crossover in optical propagation in random layered media from localization towards diffusion as the interaction of the wave with the sample is transformed from one to three-dimensional due to nonuniformity in the layer…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Sheng Zhang , Jongchul Park , Valery Milner , Azriel Z. Genack

We study theoretically confinement related effects in the optical response of thin plasmonic films of controlled variable thickness. While being constant for relatively thick films, the plasma frequency is shown to acquire spatial…

Mesoscale and Nanoscale Physics · Physics 2017-09-28 Igor V. Bondarev , Vladimir M. Shalaev

The transmission of a wave through a randomly chosen `pile of plates' typically decreases exponentially with the number of plates, a phenomenon closely related to Anderson localisation. In apparent contradiction we construct disordered…

Classical Physics · Physics 2017-05-01 Chris King , Simon Horsley , Tom Philbin

We theoretically investigate into the effects of the incidence angles in light transmission of cholesteric liquid crystal two-layer sandwich structures with twist defects created by rotation of the one layer about the helical axis.The…

Optics · Physics 2015-05-14 Roman I. Egorov , Alexei D. Kiselev

Waves propagate through disordered systems in a variety of regimes. There is a threshold of disorder beyond which waves become localized and transport becomes restricted. The intensity I of the wave transmitted through a system has a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gabriel A. Cwilich , Fredy R. Zypman

Statistical properties of the transmittance ($T$) and reflectance ($R$) of an amplifying layer with one-dimensional disorder are investigated analytically. Whereas the transmittance at typical realizations decreases exponentially with the…

Condensed Matter · Physics 2009-10-28 V. Freilikher , M. Pustilnik , I. Yurkevich

We follow the evolution with sample thickness, of intensity statistics for localized light transmitted through layered media in a crossover from one to three dimensions occasioned by transverse disorder. The probability distribution of…

Disordered Systems and Neural Networks · Physics 2013-05-29 Jongchul Park , Sheng Zhang , Azriel Z. Genack

We analyze transmission of a layered photonic structure (a one-dimensional photonic crystal) consisting of alternating slabs of two materials with positive and negative refractive index. For the periodic structure with zero averaged…

Optics · Physics 2007-05-23 Ilya V. Shadrivov , Andrey A. Sukhorukov , Yuri S. Kivshar

The relation between the jump length probability distribution function and the spectral line profile in resonance atomic radiation trapping is considered for Partial Frequency Redistribution (PFR) between absorbed and reemitted radiation.…

The optical properties of materials are strongly influenced by disorder. Control of disorder in photonic materials can unveil interesting optical properties. We have found an engineered photonic structure for which the average light…

Optics · Physics 2011-09-14 Michele Bellingeri , Francesco Scotognella

Statistical properties of coherent radiation propagating in a quasi - 1D random media is studied in the framework of random matrix theory. Distribution functions for the total transmission coefficient and the angular transmission…

Condensed Matter · Physics 2009-10-28 Eugene Kogan , Moshe Kaveh

Electronic matter waves traveling through the weak and smoothly varying disorder potential of a semi-conductor show branching behavior instead of a smooth spreading of flow. By transferring this phenomenon to optics, we show how the…

Radiation from acoustic sources located inside randomly-layered structures is studied using the transfer matrix method. It is shown that in contrast to the periodically layered cases where the radiation can be either enhanced or inhibited…

Condensed Matter · Physics 2007-05-23 Zhen Ye , Pi-Gang Luan

We have analyzed the transmission properties of pulses through one-dimensional periodic structures in order to systematically explore the best conditions to achieve the maximum delay with the minimum possible distortion. In the absence of…

Optics · Physics 2015-06-03 O. del Barco , M. Ortuño

Effect of weak disorder on tunneling through a potential barrier is studied analytically. A diagrammatic approach based on the specific behavior of subbarrier wave functions is developed. The problem is shown to be equivalent to that of…

Condensed Matter · Physics 2009-10-28 V. Freilikher , M. Pustilnik , I. Yurkevich

The average light transmission of one-dimensional photonic media has been studied as a function of the medium homogeneity, quantified by the Shannon-Wiener index. We have found a decrease in the average light transmission by increasing the…

Optics · Physics 2015-05-27 Michele Bellingeri , Francesco Scotognella