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This work is about a slow-fast data assimilation system when only slow components are observable. First, we obtain its low dimensional reduction via an invariant slow manifold. Second, we prove that the low dimensional filter on the slow…

Probability · Mathematics 2018-09-26 Huijie Qiao , Yanjie Zhang , Jinqiao Duan

The use of the generalized Snell's law opens wide possibilities for the manipulation of transmitted and reflected wavefronts. However, known structures designed to shape reflection wave fronts suffer from significant parasitic reflections…

Optics · Physics 2017-04-14 Ana Díaz-Rubio , Viktar Asadchy , Amr Elsakka and , Sergei Tretyakov

This paper reformulates and extends some recent analytical results concerning a new optical theorem and the associated physical bounds on absorption in lossy media. The analysis is valid for any linear scatterer (such as an antenna),…

Optics · Physics 2020-03-17 Sven Nordebo , Mats Gustafsson , Yevhen Ivanenko

We obtain analytical solutions for positive-to-negative transition materials with a smooth transition profile "$\tanh$". The fields are expressed in terms of hypergeometric functions. The final expressions for reflection and transmission…

Optics · Physics 2013-01-16 Yi S. Ding , C. T. Chan

We propose a device with a positive isotropic refractive index that creates an approximate magnified perfect real image of an optically homogeneous three-dimensional region of space within geometrical optics. Its key ingredient is a new…

Optics · Physics 2012-01-13 Tomas Tyc , Martin Sarbort

Negative refraction is known to occur in materials that simultaneously possess a negative electric permittivity and magnetic permeability; hence they are termed negative index materials. However, there are no known natural materials that…

We develop an approach to use nanostructured plasmonic materials as a non-magnetic negative-refractive index system at optical and near-infrared frequencies. In contrast to conventional negative refraction materials, our design does not…

In this paper,we have investigated three external fields interacting with the four-level atomic system described by the density-matrix approach.The atomic system exhibits left-handedness with zero absorption as well as large negative…

Quantum Physics · Physics 2024-03-04 Shuncai Zhao , Zhengdong Liu , Qixuan Wu

The transmission of evanescent waves in a gain-compensated perfect lens is discussed. In particular, the impact of gain saturation is included in the analysis, and a method for calculating the fields of such nonlinear systems is developed.…

We demonstrate the existence of metamaterial blueprints describing, and fundamental limitations concerning, perfectly reflectionless omnidirectional electromagnetic absorbers (PR-OEMA). Previous attempts to define PR-OEMA blueprints have…

Optics · Physics 2016-02-11 Kamalesh Sainath , Fernando L. Teixeira

We experimentally verify that a magnetic uniaxial wire medium lens consisting of a racemic array of helical-shaped metallic wires may enable channeling the normal component of the magnetic field of near-field sources with resolution well…

Active plasma lenses are compact devices developed as a promising beam-focusing alternative for charged particle beams, capable of short focal lengths for high-energy beams. We have previously shown that linear magnetic fields with…

In this paper, focal shift of a Guassian laser beam tightly focused through several planar dielectric interfaces is discussed. It is shown that the focal shift and focus point can be changed by variation of refractive index mismatch and…

Optics · Physics 2014-09-16 Ali Mahmoudi

We demonstrate achieving the far-field super-resolution imaging can be realized by using a planar hyperbolic metamaterial lens (PHML), beyond the Fabry-Perot resonance condition. Although the thickness of the PHML is much larger than…

Optics · Physics 2014-01-16 Cheng Lv , Wei Li , Xunya Jiang , Juncheng Cao

Recently, there has been plenty of work in designing and fabricating materials with an effective negative refractive index. Veselago realized that a slab of material with a refractive index of -1 would act as a lens. Pendry suggested that…

Optimization and Control · Mathematics 2008-03-11 David C. Dobson , Lyubima B. Simeonova

We propose MFT -- Multi-Flow dense Tracker -- a novel method for dense, pixel-level, long-term tracking. The approach exploits optical flows estimated not only between consecutive frames, but also for pairs of frames at logarithmically…

Computer Vision and Pattern Recognition · Computer Science 2023-11-13 Michal Neoral , Jonáš Šerých , Jiří Matas

We present an analytical description of the nonlocal optical response of plasmonic nanowire metamaterials that enable negative refraction, subwavelength light manipulation, and emission lifetime engineering. We show that dispersion of…

Optics · Physics 2014-01-13 Brian M. Wells , Anatoly V. Zayats , Viktor A. Podolskiy

Non-invasive optical focusing inside scattering media is still a big challenge because inhomogeneous media scatter both incoming photons for focusing and outgoing photons for observation. Various approaches, utilizing non-linear…

Optics · Physics 2021-09-17 Dayan Li , Sujit Kumar Sahoo , Huy Quoc Lam , Dong Wang , Cuong Dang

We demonstrate theoretically that electromagnetically induced transparency can be achieved in metamaterials, in which electromagnetic radiation is interacting resonantly with mesoscopic oscillators rather than with atoms. We describe novel…

Materials Science · Physics 2010-01-30 Ph. Tassin , Lei Zhang , Th. Koschny , E. N. Economou , C. M. Soukoulis

Focusing properties of a novel type photoresist microlens are studied. A specific character of the microlens is its mushroom shape. Recently it was predicted and experimentally revealed that such a lens integrated with a light-emitting…

Optics · Physics 2010-01-19 A. V. Boriskin , S. V. Boriskina , T. Benson , P. Sewell , A. I. Nosich