On the Gray images of some constacyclic codes over F p + u F p + u 2 F p

Yu, Haifeng; Zhu, Shixin; Kai, Xiaoshan

doi:10.1007/s11424-015-4316-5

Cited by 92 publications

(152 citation statements)

References 14 publications

Supporting

Mentioning

151

Contrasting

Order By: Relevance

“…Consequently, one must take the principal value for the integral in Eq. (19), which leads to the following discretized equation: where the discretized field E i = E(r i ), the discretized dielectric contrast ε i = ε(r i ), and the discretized Green tensor G b i, j = G b (r i , r j ) have been introduced for the N meshes corresponding to the discretized scatterer. This discretization assumes that all these parameters are constant over one single mesh volume V j .…”

Section: Volume Integral Methodsmentioning

confidence: 99%

“…These systems are composed of artificial atoms -usually plasmonic nanostructures -often organized in a periodic lattice on a surface. By virtue of the optical resonances supported by each atom, the phase of the incident light can be manipulated, producing a whole wealth of original optical effects, including negative refraction [18], complex optical beams [19], and holograms [20].…”

Section: Recent Progress In Nanophotonicsmentioning

confidence: 99%

“…There exists a completely different approach to the discretization of Eq. (19), where the singular terms M and L are skipped and another value is used for the dielectric contrast. As a matter of fact, ε(r) is similar to the dielectric susceptibility χ (r), which in turn can be associated with the polarizability α(r) of the scatterer [104].…”

Section: Laser and Photonics Reviewsmentioning

confidence: 99%

See 2 more Smart Citations

Numerical methods for nanophotonics: standard problems and future challenges

Gallinet

Butet

Martin

2015

Laser & Photonics Reviews

148

View full text Add to dashboard Cite

Nanoscale photonic systems involve a broad variety of light–matter interaction regimes beyond the diffraction limit and have opened the path for a variety of application opportunities in sensing, solid‐state lighting, light harvesting, and optical signal processing. The need for numerical modeling is central for the understanding, control, and design of plasmonic and photonic nanostructures. Recently, the increasing sophistication of nanophotonic systems and processes, ranging from simple plasmonic nanostructures to multiscale and complex photonic devices, has been calling for highly efficient numerical simulation tools. This article reviews the state of the art in numerical methods for nanophotonics and describes which method is the best suited for specific problems. The widespread approaches derived from classical electrodynamics such as finite differences in time domain, finite elements, surface integral, volume integral, and hybrid methods are reviewed and illustrated by application examples. Their potential for efficient simulation of nanophotonic systems, such as those involving light propagation, localization, scattering, or multiphysical systems is assessed. The numerical modeling of complex systems including nonlinearity, nonlocal and quantum effects as well as new materials such as graphene is discussed in the perspective of actual and future challenges for computational nanophotonics.

show abstract

Section: Volume Integral Methodsmentioning

confidence: 99%

Section: Recent Progress In Nanophotonicsmentioning

confidence: 99%

Section: Laser and Photonics Reviewsmentioning

confidence: 99%

See 1 more Smart Citation

Numerical methods for nanophotonics: standard problems and future challenges

Gallinet

Butet

Martin

2015

Laser & Photonics Reviews

148

View full text Add to dashboard Cite

show abstract

“…The field compression of SPPs can offer a high energy density with a giant local heating effect [37] and has been explored for applications such as plasmonic therapy [6] and solar vapor generation. [38] In addition, SPPs with advanced nanophotonic merits facilitates applications in light beam steering, [39] superresolution imaging, [40] high quality microcavities, [41] among many others.…”

Section: Promises and Challenges Of Plasmonicsmentioning

confidence: 99%

Phonon Polaritons and Hyperbolic Response in van der Waals Materials

Shen

Qiu

et al. 2019

Advanced Optical Materials

113

View full text Add to dashboard Cite

Phonon polaritons provide useful opportunities, complementary to those provided by plasmon polaritons, in the study of the interaction of light with matter at small scales. The focus of this review is on phonon polaritons in low‐dimensional van der Waals (vdW) materials and heterostructures. Phonon polaritons confined in vdW materials exhibit large electromagnetic localization and are easy to hybridize with other collective modes. The extreme optical anisotropy in vdW systems produces the natural hyperbolic dispersion, enabling the access to deep subdiffractional optics and often yielding improved figures of merit over hyperbolic metamaterials. These virtues hold promises for practical nanophotonic applications, including optical sensing, super‐resolution imaging, energy and emission engineering, quantum optics, and a next generation of optical circuit elements.

show abstract

“…[42][43][44][45][46] By manipulating the meta-atoms and their spatial distribution (i.e., distance, rotation angle, and density) on the metasurface, one can control the amplitude, phase, polarization and trajectory of EM waves in real space. [47][48][49][50][51][52][53][54][55][56][57][58][59][60] Soon after these concepts were proposed and demonstrated, researchers started to create metasurfaces to control the interactions between EM waves and SPPs. [54][55][56] As a result, we can go beyond the methods of SPP excitation and guidance mentioned above [56,57] to enable new capabilities and applications.…”

Section: Introductionmentioning

confidence: 99%

Polariton Photonics Using Structured Metals and 2D Materials

Cai

Wang

et al. 2019

Advanced Optical Materials

View full text Add to dashboard Cite

Polaritons are quasiparticles originating from strong interactions between photons and elementary excitations that could enable high tunability, tight electromagnetic field confinement, and large density of photonic states, making it possible to achieve novel and otherwise inaccessible functionalities. For these reasons, polaritons spawn great interest in the fields of physics, materials science, and optics for both fundamental studies as well as potential applications (e.g., modulators, photodetectors, photoluminescence, etc.). In recent years, the explosive growth of research in graphene and other 2D van der Waals materials is witnessed because they provide a new platform that substantially complements conventional metals, dielectrics, and semiconductors to investigate different polariton modes. This review highlights the works published in recent years on the topic of polariton photonics based on structured metals, graphene, and transition‐metal dichalcogenides (TMDs). The exotic optical properties of the polaritons in metallic structures and 2D van der Waals materials offer bright prospects for the development of high‐performance photonic and optoelectronic devices.

show abstract

On the Gray images of some constacyclic codes over F p + u F p + u 2 F p

Cited by 92 publications

References 14 publications

Numerical methods for nanophotonics: standard problems and future challenges

Numerical methods for nanophotonics: standard problems and future challenges

Phonon Polaritons and Hyperbolic Response in van der Waals Materials

Polariton Photonics Using Structured Metals and 2D Materials

Contact Info

Product

Resources

About