Manipulation of Backscattering From a Dielectric Cylinder of Triangular Cross-Section Using the Interplay of GO-Like Ray Effects and Resonances

Sukharevsky, Ilya O.; Nosich, Alexander I.; Altintas, A.

doi:10.1109/tap.2015.2404338

Cited by 21 publications

(10 citation statements)

References 31 publications

(45 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Triangular-shaped 2-D lasers attract attention as possible candidates for more directive emission. The classical CFEP for triangular dielectric cavities were studied in [43][44][45] using the geometrical optics and Muller integral equations. Discretization of the latter was performed with the aid of a different technique that entailed much larger orders of matrix truncation needed to achieve comparable accuracy.…”

Section: Numerical Results For Lep For Pierced Equilateral Triangle Lmentioning

confidence: 99%

See 1 more Smart Citation

Mathematical and Numerical Modeling of On-Threshold Modes of 2-D Microcavity Lasers with Piercing Holes

Spiridonov

Karchevskii

Nosich³

2019

Axioms

View full text Add to dashboard Cite

This study considers the mathematical analysis framework aimed at the adequate description of the modes of lasers on the threshold of non-attenuated in time light emission. The lasers are viewed as open dielectric resonators equipped with active regions, filled in with gain material. We introduce a generalized complex-frequency eigenvalue problem for such cavities and prove important properties of the spectrum of its eigensolutions. This involves reduction of the problem to the set of the Muller boundary integral equations and their discretization with the Nystrom technique. Embedded into this general framework is the application-oriented lasing eigenvalue problem, where the real emission frequencies and the threshold gain values together form two-component eigenvalues. As an example of on-threshold mode study, we present numerical results related to the two-dimensional laser shaped as an active equilateral triangle with a round piercing hole. It is demonstrated that the threshold of lasing and the directivity of light emission, for each mode, can be efficiently manipulated with the aid of the size and, especially, the placement of the piercing hole, while the frequency of emission remains largely intact.

show abstract

Section: Numerical Results For Lep For Pierced Equilateral Triangle Lmentioning

confidence: 99%

“…Unlike [43][44][45], we approximate the smooth "triangular" boundary Γ 2 using the parametric representation, originally developed by Bickley [46],…”

Section: Numerical Results For Lep For Pierced Equilateral Triangle Lmentioning

confidence: 99%

Mathematical and Numerical Modeling of On-Threshold Modes of 2-D Microcavity Lasers with Piercing Holes

Spiridonov

Karchevskii

Nosich³

2019

Axioms

View full text Add to dashboard Cite

show abstract

“…For the case of piece‐smooth contour , we approximated unknown equivalent currents in Eqs. (4)–(7) with a step‐constant function.…”

Section: Methodsmentioning

confidence: 99%

Image‐Based Flow Cytometry and Angle‐Resolved Light Scattering to Define the Sickling Process

Goktas

Sukharevsky

Larkin³

et al. 2019

Cytometry Pt A

Self Cite

View full text Add to dashboard Cite

Red blood cells (RBCs) from sickle cell patients exposed to a low oxygen tension reveal highly heterogeneous cell morphologies due to the polymerization of sickle hemoglobin (HbS). We show that angle‐resolved light scattering approach with the use of image‐based flow cytometry provides reliable quantitative data to define the change in morphology of large populations of RBCs from sickle cell patients when the cells are exposed for different times to low oxygen. We characterize the RBC morphological profile by means of a set of morphological and physical parameters, which includes cell shape, size, and orientation. These parameters define the cell as discocyte, sickle, elongated, as well as irregularly or abnormal RBC shaped cells, including echinocytes, holly‐leaf, and granular structures. In contrast to microscopy, quick assessment of large numbers of cells provides statistically relevant information of the dynamic process of RBC sickling in time. The use of this approach facilitates the understanding of the processes that define the propensity of sickle blood samples to change their shape, and the ensuing vaso‐occlusive events in the circulation of the patients. Moreover, it assists in the evaluation of treatments that include the use of anti‐sickling agents, gene therapy‐based hemoglobin modifications, as well as other approaches to improve the quality of life of sickle cell patients. © 2019 International Society for Advancement of Cytometry

show abstract

“…Internal modes in a triangular prism were studied in [16]. The numerical analysis of backscattering from a dielectric cylinder of triangular cross-section has been performed in [17]. However, in fact, the initial data set (scatterer sizes and refractive index n) in the above-mentioned references did not match those for which jet generation was expected.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, despite the development of various corresponding methods for calculating diffraction problems and the well-known object, the problem of scattering in a triangular prism has not been fully studied, as recent publications confirm this [14,17,19,20]. A possible gap in the photonic jet (PJ) data for a triangular prism can be associated with low expectations of a jet due to the weak focusing ability of the triangular prism.…”

Section: Introductionmentioning

confidence: 99%

Numerical Modeling of Photonic Jet behind Triangular Prism

Abramov

Yue

Wang

et al. 2021

AJR2P

View full text Add to dashboard Cite

The scattering of electromagnetic plane waves by triangular prism and its truncated form (the isosceles triangle and the trapezoid are transverse sections, respectively) has been studied in order to determine possibility of high field intensity (photonic jet) formation. Using high-resolution finite-difference time-domain simulation, an optimal relationship between the wavelength and the size of the prism was found to form photonic jet with sub wavelength waist on the shadow side of the prism. Truncation of the prism (with trapezoids as transverse sections) leads to an improvement in the characteristics of photonic jets (intensity, length and waist). A qualitative explanation of the simulation results obtained is presented.

show abstract

Manipulation of Backscattering From a Dielectric Cylinder of Triangular Cross-Section Using the Interplay of GO-Like Ray Effects and Resonances

Cited by 21 publications

References 31 publications

Mathematical and Numerical Modeling of On-Threshold Modes of 2-D Microcavity Lasers with Piercing Holes

Mathematical and Numerical Modeling of On-Threshold Modes of 2-D Microcavity Lasers with Piercing Holes

Image‐Based Flow Cytometry and Angle‐Resolved Light Scattering to Define the Sickling Process

Numerical Modeling of Photonic Jet behind Triangular Prism

Contact Info

Product

Resources

About