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Structural disorder can improve the optical properties of metasurfaces, whether it is emerging from some large-scale fabrication methods, or explicitly designed and built lithographically. Correlated disorder, induced by a minimum…

We study the effect of spatial dispersion of crystal modes on optical properties such as the reflectivity $R$. As an example for isotropic media, we investigate the simplest model for phonons in ionic crystals and compare with previous…

Optics · Physics 2009-11-10 I. Kaelin , Ch. Helm , G. Blatter

In this companion paper to our study of amplification of wavetrains, we study weakly stable semilinear hyperbolic boundary value problems with pulse data. Here weak stability means that exponentially growing modes are absent, but the…

Analysis of PDEs · Mathematics 2013-09-02 Jean-Francois Coulombel , Mark Williams

The mean path length invariance property is a very important property of scattering media illuminated by an isotropic and homogeneous radiation. Here we investigate the case of inhomogeneous media with refractive index mismatch between the…

While the mathematical foundations of score-based generative models are increasingly well understood for unconstrained Euclidean spaces, many practical applications involve data restricted to bounded domains. This paper provides a…

Statistics Theory · Mathematics 2026-03-26 Asbjørn Holk , Claudia Strauch , Lukas Trottner

We developed a microscopy technique that can measure the local refractive index without sampling the optical phase delay of the electromagnetic radiation. To do this, we designed and experimentally demonstrated a setup with two co-localized…

Optics · Physics 2019-03-27 Antonio Fiore , Carlo Bevilacqua , Giuliano Scarcelli

Mathematical mean-field approaches have been used in many fields, not only in Physics and Chemistry, but also recently in Finance, Economics, and Game Theory. In this paper we will study a new special mean-field problem in a purely…

Probability · Mathematics 2012-10-03 Juan Li

Mechanical metamaterials exhibit size-effects when a few unit-cells are subjected to static loading because no clear micro-macro scale separation holds and the characteristic length of the deformation becomes comparable to the unit-cell…

Numerical Analysis · Mathematics 2025-12-23 Mohammad Sarhil , Leonardo Andres Perez Ramirez , Max Jendrik Voss , Angela Madeo

Optical solitons propagating through a multimode fiber represents one of the most fascinating class of objects exhibiting peculiar properties, with widespread potential for applications. We theoretically investigate the effect of the core…

Optics · Physics 2026-05-05 Love Kumar Sharma , Vishwa Pal

An appealing requirement from the well-known diffraction tomography (DT) exists for success reconstruction from few-view and limited-angle data. Inspired by the well-known compressive sensing (CS), the accurate super-resolution…

Computational Engineering, Finance, and Science · Computer Science 2009-04-20 Lianlin Li , Wenji Zhang , Fang Li

In light refraction between two transparent media, Snell's law describes the relationship between the incident angle and refraction angle. The refractive index is usually determined from Snell's law using the minimum deviation angle through…

Optics · Physics 2022-01-11 Shosuke Sasaki

Metasurface has emerged as a powerful platform for controlling light at subwavelength thickness, enabling new functionalities for imaging, polarization manipulation, and angular momentum conversion within a flat surface. We explored an…

A study of statistics of transmission and reflection from a random medium with stochastic amplification as opposed to coherent amplification is presented. It is found that the transmission coefficient $t$, for sample length $L$ less than…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sandeep K. Joshi , A. M. Jayannavar

A key optical parameter characterizing the existence of negative refraction in a thin layer of a composite material is the effective refractive index of an equivalent, homogenized layer with the same physical thickness as the initial…

The non-interference three-dimensional refractive index(RI) tomography has attracted extensive attention in the life science field for its simple system implementation and robust imaging performance. However, the complexity inherent in the…

Optics · Physics 2023-06-13 Delong Yang , Shaohui Zhang , Yao Hu , Qun Hao

A refractive index sensor based on a semicircular bent fiber is presented. The interference occurs between the cladding mode excited in the bending region and the core mode. Both the theoretical and experimental results show that the…

Applied Physics · Physics 2018-02-07 Tingting Wu , Linlin Xu , Xinhai Zhang

We demonstrate the capability of block-copolymer templating to tune the refractive indices of functional oxides over a broad range by structuring materials on the 20-1000 atoms scale, with simple one-pot synthesis. The presented method is…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Jacob Poole , Aidong Yan , Paul Ohodnicki , Kevin Chen

In this work, we propose a CNN-based approach to estimate the spectral reflectance of a surface and the spectral power distribution of the light from a single RGB image of a V-shaped surface. Interreflections happening in a concave surface…

Computer Vision and Pattern Recognition · Computer Science 2019-01-30 Rada Deeb , Joost Van De Weijer , Damien Muselet , Mathieu Hebert , Alain Tremeau

We study the statistics of the reflectance (the ratio of reflected and incident intensities) of an $N$-mode disordered waveguide with weak absorption $\gamma$ per mean free path. Two distinct regimes are identified. The regime $\gamma…

Condensed Matter · Physics 2007-05-23 T. Sh. Misirpashaev , C. W. J. Beenakker

In this paper, we propose a technique named reflection F-scan or RF-scan, that can be used to measure the nonlinear-refractive index n_2 of thin-film semiconductors. In this technique, a p-polarized Gaussian beam is focused using an…

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