scholarly journals Surface-lattice resonances in two-dimensional arrays of spheres: Multipolar interactions and a mode analysis

2017 ◽  
Vol 95 (19) ◽  
Author(s):  
Sylvia D. Swiecicki ◽  
J. E. Sipe
Keyword(s):  
Mode Analysis ◽  
Two Dimensional ◽  
Surface Lattice ◽  
Arrays Of Spheres

MODE ANALYSIS AND SYSTEMATICAL DESIGN OF WIDE-BANDWIDTH PHOTONIC CRYSTAL 60° WAVEGUIDE BENDS WITH HIGH TRANSMISSION

2012 ◽  
Vol 26 (26) ◽  
pp. 1250170 ◽  
Author(s):  
TAO CHEN ◽  
CAILONG ZHENG ◽  
JINXING LI
Keyword(s):  
Photonic Crystal ◽  
Expansion Method ◽  
Transmission Efficiency ◽  
Slab Waveguide ◽  
Mode Analysis ◽  
Two Dimensional ◽  
Photonic Crystal Slab ◽  
High Transmission ◽  
Index Approach ◽  
Waveguide Bend

We present a procedure to enhance the transmission efficiency of a photonic crystal slab waveguide bend by introducing an air hole with the same radius at the center of bend and optimizing the positions of three neighboring holes in the corner. The improvement relies only on the method of displacing holes which is technologically preferred to controlling variations in hole size or shape. We employ the effective refractive index approach and two-dimensional plane wave expansion method to analyze the guide modes of the straight waveguide and waveguide bend. The transmission character of bent waveguides is investigated using two-dimensional finite-difference time-domain method. Numerical studies demonstrate that the approximate method of mode analysis is unsuitable to our model. Alternatively, we systematically study the effect of different positions of the holes on the transmission. The optimized bends for the high transmission with broad bandwidth are proposed.

scholarly journals Full-mode analysis of a two-dimensional photonic crystal waveguide

2007 ◽  
Vol 56 (3) ◽  
pp. 1590
Author(s):  
Yin Hai-Rong ◽  
Gong Yu-Bin ◽  
Wei Yan-Yu ◽  
Lu Zhi-Gang ◽  
Gong Hua-Rong ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Mode Analysis ◽  
Two Dimensional ◽  
Photonic Crystal Waveguide ◽  
Dimensional Photonic Crystal ◽  
Two Dimensional Photonic Crystal

Mode Analysis on Onset of Turing Instability in Time-Fractional Reaction-Subdiffusion Equations by Two-Dimensional Numerical Simulations

2019 ◽  
Vol 14 (6) ◽  
Author(s):  
Masataka Fukunaga
Keyword(s):  
Critical Point ◽  
Fractional Order ◽  
Time Derivative ◽  
Turing Instability ◽  
Reaction Diffusion Equations ◽  
Mode Analysis ◽  
Two Dimensional ◽  
Linearized Equations ◽  
Special Cases ◽  
Fractional Reaction

There are two types of time-fractional reaction-subdiffusion equations for two species. One of them generalizes the time derivative of species to fractional order, while in the other type, the diffusion term is differentiated with respect to time of fractional order. In the latter equation, the Turing instability appears as oscillation of concentration of species. In this paper, it is shown by the mode analysis that the critical point for the Turing instability is the standing oscillation of the concentrations of the species that does neither decays nor increases with time. In special cases in which the fractional order is a rational number, the critical point is derived analytically by mode analysis of linearized equations. However, in most cases, the critical point is derived numerically by the linearized equations and two-dimensional (2D) simulations. As a by-product of mode analysis, a method of checking the accuracy of numerical fractional reaction-subdiffusion equation is found. The solutions of the linearized equation at the critical points are used to check accuracy of discretized model of one-dimensional (1D) and 2D fractional reaction–diffusion equations.

scholarly journals Response of Thermoelastic Micropolar Cubic Crystal under Dynamic Load at an Interface

2017 ◽  
Vol 22 (1) ◽  
pp. 5-23 ◽  
Author(s):  
P. Ailawalia ◽  
S.K. Sachdeva ◽  
D. Pathania
Keyword(s):  
Temperature Distribution ◽  
Normal Force ◽  
Normal Mode Analysis ◽  
Mode Analysis ◽  
Normal Displacement ◽  
Two Dimensional ◽  
Cubic Crystal ◽  
Cubic Symmetry ◽  
Thermoelastic Solid ◽  
Coupled Stress

AbstractThe purpose of this paper is to study the two dimensional deformation in a thermoelastic micropolar solid with cubic symmetry. A mechanical force is applied along the interface of a thermoelastic micropolar solid with cubic symmetry (Medium I) and a thermoelastic solid with microtemperatures (Medium II). The normal mode analysis has been applied to obtain the exact expressions for components of normal displacement, temperature distribution, normal force stress and tangential coupled stress for a thermoelastic micropolar solid with cubic symmetry. The effects of anisotropy, micropolarity and thermoelasticity on the above components have been depicted graphically.

Coupled-mode analysis for two-dimensional coaxial Bragg structures with helical ripples

2018 ◽  
Vol 25 (9) ◽  
pp. 093104 ◽  
Author(s):  
Ying-Xin Lai ◽  
Xiao-Min Jiang ◽  
Shan-Jin Wang ◽  
Tai-Jun Liu
Keyword(s):  
Mode Analysis ◽  
Two Dimensional ◽  
Coupled Mode ◽  
Bragg Structures

Two-Dimensional Surface Lattice Solitons

2007 ◽  
Author(s):  
Alexander Szameit ◽  
Felix Dreisow ◽  
Matthias Heinrich ◽  
Thomas Pertsch ◽  
Stefan Nolte ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Surface Lattice ◽  
Dimensional Surface

Excitation and damping of disturbances in cylindrical coronal loops

2005 ◽  
Vol 364 (1839) ◽  
pp. 547-550 ◽  
Author(s):  
Jaume Terradas ◽  
Ramón Oliver ◽  
José Luis Ballester
Keyword(s):  
Boundary Layer ◽  
Coronal Loop ◽  
Normal Mode Analysis ◽  
Resonant Absorption ◽  
Time Dependent ◽  
Mode Analysis ◽  
Coronal Loops ◽  
Two Dimensional ◽  
Magnetohydrodynamic Equations ◽  
Kink Mode

The excitation and damping of transversal coronal loop oscillations is studied using one-and two-dimensional models of line-tied cylindrical loops. By solving the time-dependent magnetohydrodynamic equations it is shown how an initial disturbance generated in the solar corona induces kink mode oscillations. We investigate the effect of the disturbance on a loop with a non-uniform boundary layer. In particular, a strong damping of transversal oscillations due to resonant absorption is found, such as predicted by previous works based on normal mode analysis.

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