scholarly journals Resonant light scattering from dielectric ring of rectangular cross section

2021 ◽  
Vol 2015 (1) ◽  
pp. 012145
Author(s):  
N S Solodovchenko ◽  
T Z Seidov ◽  
K B Samusev ◽  
M F Limonov
Keyword(s):  
Cross Section ◽  
Rectangular Cross Section ◽  
Polarized Light ◽  
Ring Resonators ◽  
Electromagnetic Properties ◽  
Practical Applications ◽  
Whispering Gallery ◽  
Disk Resonators ◽  
Scattering Spectrum ◽  
Light Excitation

Abstract In this paper we present the results of numerical calculations of electromagnetic properties for cylindrical ring resonators (RRs) with rectangular cross-section and a dielectric permittivity corresponding to silicon ε = 12. The calculation of the scattering spectrum (Radar Cross Section) and the field distribution of the modes were performed at in-plane polarized light excitation. The presence of four side walls in the RRs determines a richer spectrum of eigenmodes in comparison with cylindrical whispering gallery modes of disk resonators and creates more possibilities and diversity for their practical applications.

FE-PML MODELING OF 3D SCATTERING OF TRANSIENT ELASTIC WAVES IN CRACKED PLATE WITH RECTANGULAR CROSS SECTION

2010 ◽  
Vol 10 (05) ◽  
pp. 1123-1139 ◽  
Author(s):  
ABDEL-RAHMAN MAHMOUD ◽  
NIPON RATTANAWANGCHAROEN ◽  
YUNHUA LUO ◽  
QUAN WANG
Keyword(s):  
Nondestructive Evaluation ◽  
Cross Section ◽  
Elastic Waves ◽  
Rectangular Cross Section ◽  
Three Dimensional ◽  
Infinite Plate ◽  
Mean Square ◽  
Engineering Structures ◽  
Practical Applications ◽  
Proposed Model

This paper proposes a finite-element (FE) and perfectly matched layer (PML)modeling of three-dimensional (3D) scattering of transient elastic waves in a cracked infinite plate with rectangular cross-section. The FE predictions are validated against 3D semi-analytical literature results. The effects of PML parameters on a root-mean-square error estimate are measured against the reference FE predictions computed using extended meshes. The proposed model is shown, through the numerical examples, to offer huge saving in real run-time at a slight degradation in accuracy. Practical applications indicate its potential in modeling elastic-wave-based nondestructive evaluation of engineering structures.

scholarly journals Scattering spectra of dielectric ring: microwave experiments

2021 ◽  
Vol 2015 (1) ◽  
pp. 012144
Author(s):  
Nikolay Solodovchenko ◽  
Mikhail Sidorenko
Keyword(s):  
Ring Resonators ◽  
Electromagnetic Properties ◽  
Microwave Range ◽  
Strong Light ◽  
Scattering Spectrum ◽  
Integrated Optical ◽  
Scattering Spectra ◽  
Resonance Character ◽  
Optical Circuits ◽  
Light Scattering Spectrum

Abstract In recent years, dielectric ring resonators (RRs) have become an essential part of integrated optical circuits. This determines the growing interest in the study of the fundamental electromagnetic properties of these objects, which is far from complete. In particular, in the literature it is difficult to find information about light scattering spectrum, which should demonstrate a strong resonance character when the probe wavelength is comparable to the geometric dimensions of the RR, taking into account its dielectric constant. In this work, we present the results of an experimental study of the electromagnetic properties of a dielectric RR in the microwave range of the spectrum. The results of numerical calculations of the scattering spectrum are also presented, which demonstrate excellent agreement with the experimental data. In addition to the expected resonance character of the spectrum, we report the effects of strong light confinement, which are associated with Fano resonances between the eigenmodes and the component of the electromagnetic field scattered by the ring.

scholarly journals Designing for People’s Safety on Flooded Streets: Uncertainties and the Influence of the Cross-Section Shape, Roughness and Slopes on Hazard Criteria

Water ◽  
2021 ◽  
Vol 13 (15) ◽  
pp. 2119
Author(s):  
Luís Mesquita David ◽  
Rita Fernandes de Carvalho
Keyword(s):  
Cross Section ◽  
Overland Flow ◽  
Rectangular Cross Section ◽  
Safety Hazard ◽  
Cross Section Shape ◽  
Section Shape ◽  
Flood Flows ◽  
The Cross ◽  
Flooding Risk

Designing for exceedance events consists in designing a continuous route for overland flow to deal with flows exceeding the sewer system’s capacity and to mitigate flooding risk. A review is carried out here on flood safety/hazard criteria, which generally establish thresholds for the water depth and flood velocity, or a relationship between them. The effects of the cross-section shape, roughness and slope of streets in meeting the criteria are evaluated based on equations, graphical results and one case study. An expedited method for the verification of safety criteria based solely on flow is presented, saving efforts in detailing models and increasing confidence in the results from simplified models. The method is valid for 0.1 m2/s 0.5 m2/s. The results showed that a street with a 1.8% slope, 75 m1/3s−1 and a rectangular cross-section complies with the threshold 0.3 m2/s for twice the flow of a street with the same width but with a conventional cross-section shape. The flow will be four times greater for a 15% street slope. The results also highlighted that the flood flows can vary significantly along the streets depending on the sewers’ roughness and the flow transfers between the major and minor systems, such that the effort detailing a street’s cross-section must be balanced with all of the other sources of uncertainty.

Sign in / Sign up

Export Citation Format

Share Document