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We consider the coupled electromagnetic waves propagating in a nonlinear coupler and in nonlinear waveguide array, which consists of alternating waveguides of positive and negative refraction indexes. The forward wave and backward wave…

Pattern Formation and Solitons · Physics 2014-09-30 A. I. Maimistov , E. V. Kazantseva

Application of the differential method (also called the C method) to plane-wave diffraction by a perfectly conducting, sinusoidally corrugated metallic grating coated with a linear, homogeneous, isotropic, lossless dielectric-magnetic…

The set of realizable refractive indices as a function of frequency is considered. For passive media we give bounds for the refractive index variation in a finite bandwidth. Special attention is given to the loss and index variation in the…

Optics · Physics 2009-11-11 Johannes Skaar , Kristian Seip

Starting from fundamental multiple scattering theory it is shown that negative refraction indices are feasible for matter waves passing a well-defined ensemble of scatterers. A simple approach to this topic is presented and explicit…

Quantum Physics · Physics 2016-03-07 Florian Pinsker

It is shown that the transparency of opaque material with negative permittivity exhibits resonant behavior. The resonance occurs as a result of the excitation of the surface waves at slab boundaries. Dramatic field amplification of the…

Optics · Physics 2009-11-13 E. Fourkal , I. Velchev , C-M. Ma , A. Smolyakov

Trirefringence is related to the existence of three distinct phase velocity solutions (and polarizations) for light propagation in a same wave-vector direction. This implies that when a trirefringent medium refracts a light ray, it is split…

Optics · Physics 2019-06-05 V. A. De Lorenci , A. L. Ferreira Junior , J. P. Pereira

We consider the lateral shift of a light beam reflecting from a dielectric slab backed by a metal. It is found that the lateral shift of the reflected beam can be negative while the intensity of reflected beam is almost equal to the…

Optics · Physics 2009-11-11 Li-Gang Wang , Hong Chen , Nian-Hua Liu , Shi-Yao Zhu

The feasibility and extraordinary properties of mirrorless parametric oscillations in strongly absorbing negative-index metamaterials are shown. They stem from the backwardness of electromagnetic waves inherent to this type of…

The refractive index of a dielectric medium comprising both passive and inverted components in its permittivity was determined using two methods: (i) in the time domain, a finite-difference algorithm to compute the frequency-domain…

Optics · Physics 2007-12-07 Joseph B. Geddes , Tom G. Mackay , Akhlesh Lakhtakia

We explore the possibility of realizing intrinsic far infrared negative index materials (NIM) in multiferroic crystals (crystals simultaneously possessing a ferroelectric and ferromagnetic phase) possessing electric and magnetic dipole…

Condensed Matter · Physics 2007-05-23 David W. Ward , Eric Statz , Kevin J. Webb , Keith A. Nelson

A composite material comprising randomly distributed spherical particles of two different isotropic dielectric-magnetic materials is homogenized using the second-order strong-property-fluctuation theory in the long-wavelength approximation.…

Optics · Physics 2009-11-11 Tom G. Mackay , Akhlesh Lakhtakia

One of the striking properties of artificially structured materials is the negative refraction, an optical feature that known natural materials do not exhibit. Here, we propose a simple design, composed of two parallel layers of materials…

Optics · Physics 2010-12-30 T. Ochiai , J. C. Nacher

We demonstrate that arrays of split ring resonators (SRR) can have negative refractive index at optical frequencies (~1.4 eV). Our calculations reveal that the electric fields of radiation interact strongly with even symmetric SRR at…

Metamaterials are artificial composite materials that, by virtue of their microstructure, exhibit properties not exhibited by their component materials. Much excitement has been generated by negatively refracting metamaterials, typically…

Optics · Physics 2010-07-13 Yi-Jun Jen , Akhlesh Lakhtakia , Ching-Wei Yu , Chin-Te Lin

The condition for a negative index of refraction with respect to the vacuum index is established in terms of permittivity and permeability susceptibilities. It is found that the imposition of analyticity to satisfy the Kramers-Kronig…

Optics · Physics 2010-09-27 Mark C. Hickey , Alkim Akyurtlu , Adil-Gerai Kussow

Two choices are possible for the refractive index of a linear, homogeneous, isotropic, active, dielectric material. Either of the choices is adequate for obtaining frequency-domain solutions for (i) scattering by slabs, spheres, and other…

Optics · Physics 2009-11-13 Akhlesh Lakhtakia , Joseph B. Geddes , Tom G. Mackay

A general algorithm for calculating the reflection and refraction of nonuniform plane waves from an arbitrarily oriented and charged planar interface between two lossy isotropic media is proposed based on the decomposition of the complex…

Optics · Physics 2026-02-24 Zhili Lin

The volume coherent deflection of high-energy positive and negative particles in uniformly bent crystals is studied. The general analysis of potential scattering shows that the standard screening potential for a large class of collisions…

Accelerator Physics · Physics 2007-07-27 Gennady V. Kovalev

We systematically examine the conditions of obtaining left-handed (LH) behavior in photonic crystals. Detailed studies of the phase and group velocities as well as the phase np and group ng refractive index are given. The existence of…

Condensed Matter · Physics 2009-11-07 S. Foteinopoulou , C. M. Soukoulis

This paper studies the near field refraction problem with loss of energy in negative refractive index material. Based on the relative refractive index $\kappa$, the analysis is categorized into two cases, namely $\kappa < -1$ and $-1 <…

Analysis of PDEs · Mathematics 2026-03-12 Feida Jiang , Haokun Sui