Low-threshold lasing eigenmodes of an infinite periodic chain of quantum wires

Byelobrov, Volodymyr O.; Čtyroký, Jiřı́; Benson, T.M.; Sauleau, Ronan; Altintas, A.; Nosich, Alexander I.

doi:10.1364/ol.35.003634

Cited by 53 publications

(22 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…However, the periodicity of the grating of 100 strips leads to the other type of resonance phenomena, so-called grating resonances. [16][17][18][19][20][21][22] The thickest-strip grating (50 nm, black curves) demonstrates two gratingtype resonances in the visible range, at λ G 1 = 603 nm (slightly larger than p) and λ G 2 = 305 nm (slightly larger than p/2). Note that the strip thickness plays important role: if strips are thin as 10 or even 20 nm, the grating resonances have almost no effect on TSCS and ACS (this effect appears if N 100).…”

Section: H-polarization: Surface Plasmon Resonances and Grating mentioning

confidence: 99%

“…It has been discovered recently, in the study of infinite gratings made of sub-wavelength dielectric or silver wires of circular cross-section suspended in free space, that these phenomena are explained by the specific poles of the field as a function of the wavelength that exist in the vicinities of Rayleigh anomalies. [16][17][18][19] They produce the so-called grating resonances (a.k.a. collective), which should be distinguished both from the mentioned anomalies and from the plasmon resonances, whose wavelengths depend primarily on the shape and material of an individual element of the grating.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Finite gratings of many thin silver nanostrips: Optical resonances and role of periodicity

Shapoval¹,

Nosich²

2013

AIP Advances

Self Cite

View full text Add to dashboard Cite

We study numerically the optical properties of the periodic in one dimension flat gratings made of multiple thin silver nanostrips suspended in free space. Unlike other publications, we consider the gratings that are finite however made of many strips that are well thinner than the wavelength. Our analysis is based on the combined use of two techniques earlier verified by us in the scattering by a single thin strip of conventional dielectric: the generalized (effective) boundary conditions (GBCs) imposed on the strip median lines and the Nystrom-type discretization of the associated singular and hyper-singular integral equations (IEs). The first point means that in the case of the metal strip thickness being only a small fraction of the free-space wavelength (typically 5 nm to 50 nm versus 300 nm to 1 μm) we can neglect the internal field and consider only the field limit values. In its turn, this enables reduction of the integration contour in the associated IEs to the strip median lines. This brings significant simplification of the scattering analysis while preserving a reasonably adequate modeling. The second point guarantees fast convergence and controlled accuracy of computations that enables us to compute the gratings consisting of hundreds of thin strips, with total size in hundreds of wavelengths. Thanks to this, in the H-polarization case we demonstrate the build-up of sharp grating resonances (a.k.a. as collective or lattice resonances) in the scattering and absorption cross-sections of sparse multi-strip gratings, in addition to better known localized surface-plasmon resonances on each strip. The grating modes, which are responsible for these resonances, have characteristic near-field patterns that are distinctively different from the plasmons as can be seen if the strip number gets larger. In the E-polarization case, no such resonances are detectable however the build-up of Rayleigh anomalies is observed, accompanied by the reduced scattering and absorption.

show abstract

Section: H-polarization: Surface Plasmon Resonances and Grating mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Finite gratings of many thin silver nanostrips: Optical resonances and role of periodicity

Shapoval¹,

Nosich²

2013

AIP Advances

Self Cite

View full text Add to dashboard Cite

show abstract

“…LEPs for infinite periodic structures are also of interest, since periodic structures, such as diffraction gratings and photonic crystals (PhCs), have found many applications in light-emitting devices. Byelobrov et al [13] studied an LEP for an infinite periodic array of circular cylinders where the cylinders model quantum wires made of gain materials. They applied the multipole method to the LEP.…”

Section: Introductionmentioning

confidence: 99%

Efficient method for lasing eigenvalue problems of periodic structures

Huang

2014

Journal of Modern Optics

View full text Add to dashboard Cite

Lasing eigenvalue problems (LEPs) are non-conventional eigenvalue problems involving the frequency and gain threshold at the onset of lasing directly. Efficient numerical methods are needed to solve LEPs for the analysis, design and optimization of microcavity lasers. Existing computational methods for two-dimensional LEPs include the multipole method and the boundary integral equation method. In particular, the multipole method has been applied to LEPs of periodic structures, but it requires sophisticated mathematical techniques for evaluating slowly converging infinite sums that appear due to the periodicity. In this paper, a new method is developed for periodic LEPs based on the so-called Dirichlet-to-Neumann maps. The method is efficient since it avoids the slowly converging sums and can easily handle periodic structures with many arrays.

show abstract

“…The properties of the structure have found many applications in physics and engineering, including light energy transfer, 6,7 light generation, [8][9][10][11][12][13] negative transmission, 14 optical sensing and detecting, 15 and nonlinear optics. 16 These works provide us deep insight into the extraordinary scattering properties of the nanoparticle chain.…”

Section: Introductionmentioning

confidence: 99%

Broadband compact reflector based on all-dielectric subwavelength nanoparticle chains: reflecting lights beyond normal incidence with a very high reflectivity

et al. 2013

Opt. Eng

View full text Add to dashboard Cite

Abstract. We report a polarization-dependent reflector beyond normal incidence with a subwavelength nanoparticle chain. Polarization-dependent reflection with high reflectivity or high transmissivity can be obtained with this structure. Light waves of transverse electric/magnetic mode will be reflected, while the transverse magnetic/electric mode will transmit through. The structure shows a certain degree of tolerance of incident angle, technical fabrication, and even particle shape. We hope the lowloss and compact structure can find applications in photonic circuits such as gallium nitride-based light sources. © The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

show abstract

Low-threshold lasing eigenmodes of an infinite periodic chain of quantum wires

Abstract: The user has requested enhancement of the downloaded file.

Cited by 53 publications

References 14 publications

Finite gratings of many thin silver nanostrips: Optical resonances and role of periodicity

Finite gratings of many thin silver nanostrips: Optical resonances and role of periodicity

Efficient method for lasing eigenvalue problems of periodic structures

Broadband compact reflector based on all-dielectric subwavelength nanoparticle chains: reflecting lights beyond normal incidence with a very high reflectivity

Contact Info

Product

Resources

About