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Marchenko methods are based on integral representations which express Green's functions for virtual sources and/or receivers in the subsurface in terms of the reflection response at the surface. An underlying assumption is that inside the…

Geophysics · Physics 2021-06-22 Kees Wapenaar , Roel Snieder , Sjoerd de Ridder , Evert Slob

We present an analytical model of the resonantly enhanced transmission of light through a subwavelength nm-size slit in a thick metal film. The simple formulae for the transmitted electromagnetic fields and the transmission coefficient are…

Optics · Physics 2009-11-11 S. V. Kukhlevsky , M. Mechler , O. Samek , K. Janssens

The limited resolution of a conventional optical microscope stems from the fact that the subwavelength information of an object is carried by evanescent waves, which exponentially decays in space and cannot reach the imaging plane. We…

Optics · Physics 2018-10-17 Wen Fan , Bing Yan , Zengbo Wang , Boris Lukyanchuk , Limin Wu

All metamaterial applications are based upon the idea that extreme material properties can be achieved through appropriate dynamic homogenization of composites. This homogenization is almost always done for infinite domains and the results…

Materials Science · Physics 2017-07-05 Ankit Srivastava , John R. Willis

The last decade has seen numerous efforts to achieve imaging resolution beyond that of the Abbe-Rayleigh diffraction limit. The main direction of research aiming to break this limit seeks to exploit the evanescent components containing fine…

Optics · Physics 2015-05-13 Fu Min Huang , Nikolay I. Zheludev

Pendry in his paper [Phys. Rev. Lett., 85, 3966 (2000)] put forward an idea for a lens made of a lossless metamaterial slab with n = -1, that may provide focusing with resolution beyond the conventional limit. In his analysis, the…

Optics · Physics 2007-07-04 Andrea Alu , Nader Engheta

Focusing using conventional lenses relies on the collection and interference of propagating waves, but discounts the evanescent waves that decay rapidly from the source. Since these evanescent waves contain the finest details of the source,…

Optics · Physics 2013-03-29 Ashwin K. Iyer , G. V. Eleftheriades

The aim of this review is to cover recent developments in the mathematical analysis of subwavelength resonators. The use of sophisticated mathematics in the field of metamaterials is reported, which provides a mathematical framework for…

Analysis of PDEs · Mathematics 2020-11-10 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen , Hyundae Lee , Sanghyeon Yu

After a short review of microscopic electrodynamics in materials, we investigate the relation of the microscopic dielectric tensor to the current response tensor and to the full electromagnetic Green function. Subsequently, we give a…

Materials Science · Physics 2017-10-02 R. Starke , G. A. H. Schober

It is shown that negative electric permittivity and magnetic permeability recently discovered in a photonic crystal in the vicinity of the Gamma-point are properties of propagating modes only. The evanescent modes rather decay than increase…

Materials Science · Physics 2007-05-23 A. L. Efros , C. Y. Li , A. L. Pokrovsky

Evanescent wave amplification is observed, for the first time to our knowledge, inside a half-wavelength-thick wire medium slab used for subwavelength imaging. The wire medium is analyzed using both a spatially dispersive finite-difference…

Other Condensed Matter · Physics 2015-05-13 Yan Zhao , Pavel A. Belov , Yang Hao

We examine some of the optical properties of a metamaterial consisting of thin layers of alternating metal and dielectric. We can model this material as a homogeneous effective medium with anisotropic dielectric permittivity. When the…

Optics · Physics 2009-11-13 B. Wood , J. B. Pendry , D. P. Tsai

Superscattering, induced by degenerate resonances, breaks the fundamental single-channel limit of scattering cross section of subwavelength structures; in principle, an arbitrarily large total cross section can be achieved via…

Classical Physics · Physics 2018-12-17 Chao Qian , Xiao Lin , Yi Yang , Xiaoyan Xiong , Huaping Wang , Erping Li , Ido Kaminer , Baile Zhang , Hongsheng Chen

Paradoxically, imaging with resolution much below the wavelength $\lambda$ - now common place in the visible spectrum - remains challenging at lower frequencies, where arguably it is needed most due to the large wavelengths used. Techniques…

Optics · Physics 2023-12-12 Alessandro Tuniz , Boris T. Kuhlmey

Superluminal phenomena have been reported in many experiments of electromagnetic wave propagation, where the superluminal behaviors of evanescent waves are the most interesting ones with the important physical significances. Consider that…

Optics · Physics 2007-05-23 Z. Y. Wang , C. D. Xiong

Light transport in superdiffusive media of finite size is studied theoretically. The intensity Green's function for a slab geometry is found by discretizing the fractional diffusion equation and employing the eigenfunction expansion method.…

Optics · Physics 2010-10-26 Jacopo Bertolotti , Kevin Vynck , Diederik S. Wiersma

We theoretically demonstrate negative refraction and sub-wavelength resolution below the diffraction limit in the UV and extreme UV ranges using semiconductors. The metal-like re-sponse of typical semiconductors such as GaAs or GaP makes it…

The electromagnetic Green's function is a crucial ingredient for the theoretical study of modern photonic quantum devices, but is often difficult or even impossible to calculate directly. We present a numerically efficient framework for…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Robert Meiners Fuchs , Juanjuan Ren , Stephen Hughes , Marten Richter

We describe the properties of evanescent gravitational waves (EGWs)---wave solutions of Einstein equations which decay exponentially in some direction while propagating in another. Evanescent waves are well-known in acoustics and optics and…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-30 Sebastian Golat , Eugene A. Lim , Francisco J. Rodríguez-Fortuño

Numerical calculations were performed to examine the mechanisms for generation of a retro-reflected wave from the interaction of an evanescent wave with a sub-wavelength structure using the finite-difference time-domain (FDTD) method. The…

Optics · Physics 2013-06-25 Young-Gu Ju , Thomas Milster