scholarly journals Degeneracy of light scattering and absorption by a single nanowire

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Jeng Yi Lee ◽  
Yi-Huan Chen ◽  
Pai-Yen Chen
Keyword(s):  
Partial Wave ◽  
Power Distribution ◽  
Degrees Of Freedom ◽  
Energy Performance ◽  
Electromagnetic Plane Wave ◽  
Power Diagram ◽  
Single Nanowire ◽  
Scattering Coefficients ◽  
Distribution Boundary ◽  
Wave Modes

AbstractWe theoretically and numerically prove that under an electromagnetic plane wave with linear polarization incident normally to a single nanowire, there exists a power diagram that could indicate scattering properties for any system configurations, material parameters, and operating wavelength. We demonstrate the distinct power distribution boundary in absorption, scattering, and extinction for a generalized nanowire with any partial wave modes dominant. In the boundary, each dominant scattering coefficients remain constant, and its energy performance would display superabsorbers or superscatterers. Interestingly, for a system with larger partial wave modes dominant, the occupied domain in the power diagram could completely cover that with lower ones. Hence, a system with different levels of partial wave modes can display the same power results, reflecting the degeneracy. This degenerate property could release more degrees of freedom in design of energy harvesting devices and sensors. We demonstrate several systems based on realistic materials to support our findings.

scholarly journals Degeneracy of Light Scattering and Absorption by a Single Nanowire

2021 ◽  
Author(s):  
Jeng Yi Lee ◽  
Yi-Huan Chen ◽  
Pai-Yen Chen
Keyword(s):  
Partial Wave ◽  
Power Distribution ◽  
Degrees Of Freedom ◽  
Energy Performance ◽  
Electromagnetic Plane Wave ◽  
Power Diagram ◽  
Single Nanowire ◽  
Scattering Coefficients ◽  
Distribution Boundary ◽  
Wave Modes

Abstract We theoretically and numerically prove that under an electromagnetic plane wave with linear polarization incident normally to a single nanowire, there exists a power diagram that could indicate scattering properties for any system configurations. We demonstrate the distinct power distribution boundary in absorption, scattering, and extinction for a generalized nanowire with any partial wave modes dominant. In the boundary, each dominant scattering coefficients remain constant, and its energy performance would display superabsorbers or superscatterers. Interestingly, for a system with larger partial wave modes dominant, the occupied domain in the power diagram could completely cover that with lower ones. Hence, a system with different levels of partial wave modes can display the same power results, reflecting the degeneracy. This degenerate property could release more degrees of freedom in designs of energy harvesting devices and sensors. We demonstrate several systems based on realistic materials to support our findings.

scholarly journals Scattering coefficients for a sphere in a visco-acoustic medium for arbitrary partial wave order

Wave Motion ◽  
2020 ◽  
Vol 97 ◽  
pp. 102589
Author(s):  
M. Mahbub Alam ◽  
Valerie J. Pinfield ◽  
Pierre Maréchal
Keyword(s):  
Partial Wave ◽  
Acoustic Medium ◽  
Scattering Coefficients

scholarly journals Three-nucleon bound state calculations using the three dimensional formalism

2019 ◽  
Vol 199 ◽  
pp. 05021
Author(s):  
Kacper Topolnicki ◽  
Jacek Golak ◽  
Roman Skibiński ◽  
Henryk Witała ◽  
Yuriy Volkotrub ◽  
...  
Keyword(s):  
Angular Momentum ◽  
Partial Wave ◽  
Long Range ◽  
Traditional Method ◽  
Degrees Of Freedom ◽  
Three Dimensional ◽  
Bound State ◽  
Numerical Implementation ◽  
Numerical Work ◽  
Oscillating Functions

The traditional method of carrying out few-nucleon calculations is based on the angular momentum decomposition of operators relevant to the calculation. Expressing operators using a finite-sized partial wave basis enables the calculations to be carried out using a small amount of numerical work. Unfortunately, certain calculations that involve higher energies or long range potentials, require including a large number of partial waves in order to get converged results. This is problematic because such an approach requires a numerical implementation of heavily oscillating functions. Modern computers made it possible to carry out few-nucleon calculations without using angular momentum decomposition and instead to work directly with the three dimensional degrees of freedom of the nucleons. In this paper we briefly describe the, so called 3D approach and present preliminary results related to the 3He bound state obtained within this formalism.

THE STABILITY OF THE MINISUPERSPACE

1993 ◽  
Vol 08 (36) ◽  
pp. 3413-3427 ◽  
Author(s):  
ATUSHI ISHIKAWA ◽  
TOSHIKI ISSE
Keyword(s):  
Scalar Field ◽  
Early Universe ◽  
Degrees Of Freedom ◽  
Einstein Gravity ◽  
Scale Factor ◽  
Planck Length ◽  
Inhomogeneous Wave ◽  
The Stability ◽  
The Universe ◽  
Wave Modes

The stability of the minisuperspace model of the early universe is studied by solving the Wheeler-DeWitt equation numerically. We consider a system of Einstein gravity with a scalar field. When we solve the Wheeler-DeWitt equation, we pick up some inhomogeneous wave modes from infinite wave modes adequately: degrees of freedom of the superspace are restricted to finite. We show that the minisuperspace is stable when a scale factor (a) of the universe is a few times larger than the Planck length, while it becomes unstable when a is comparable to the Planck length.

scholarly journals Mechanisms of power distribution: principles of kinematic and force analysis

2021 ◽  
Vol 2094 (4) ◽  
pp. 042019
Author(s):  
A P Chajkin ◽  
R Yu Dobretsov ◽  
V A Sokolova ◽  
E A Tikhonov ◽  
M N Kalimullin ◽  
...  
Keyword(s):  
Power Distribution ◽  
Power Analysis ◽  
Degrees Of Freedom ◽  
Dynamic Properties ◽  
Gear Ratio ◽  
Theoretical Studies ◽  
Force Analysis ◽  
Kinematic Scheme ◽  
Turning Mechanism ◽  
Turning Radius

Abstract The article considers the features of performing kinematic and power analysis of a controlled power mechanism for the transmission of wheeled transport and transport-technological machines. Such mechanisms are currently used mainly on cars in order to improve handling, stability, traction and dynamic properties in severe road conditions. Such mechanisms are not produced in Russia, but theoretical studies are currently being conducted, the results of which will allow determining the main parameters of the mechanism and synthesizing its kinematic scheme. The proposed approaches are based on the methods used in the kinematic and force analysis of planetary gears, but it is taken into account that the mechanism of power distribution during operation has two degrees of freedom. It is indicated that there is a structural and functional similarity between the power distribution mechanism of the car and the turning mechanism of the tracked vehicle. A method is proposed for calculating the gear ratio of the power distribution mechanism according to the condition of matching the minimum possible turning radius provided by the steering trapezoid kinematics and the calculated turning radius.

scholarly journals The practical aspects of implementation of the thrust allocation procedure for a multi-propulsor underwater robot

2018 ◽  
Vol 65 (4) ◽  
pp. 39-48
Author(s):  
Jerzy Garus ◽  
Bogdan Żak
Keyword(s):  
Power Distribution ◽  
Degrees Of Freedom ◽  
Underwater Vehicle ◽  
Propulsion System ◽  
Underwater Robot ◽  
Freedom Of Movement ◽  
Allocation Procedure ◽  
Distribution Algorithms ◽  
Optimisation Methods ◽  
Thrust Allocation

Abstract This article addresses the practical aspects of the synthesis of an automatic control system for the thrust allocation strategy in the propulsion system of an unmanned underwater vehicle. The vehicle under consideration is a robot submarine equipped with a multi-propulsion system providing four degrees of freedom of movement. The power distribution algorithms are based on limited optimisation methods that allow the determination, on the basis of generalised torques and forces, of how much thrust is required to be produced by individual propulsors. Considering the issue of power distribution as a task of square and linear programming, two algorithms of thrust allocation were proposed and compared. The conducted model tests made it possible to evaluate their quality and efficiency in relation to speed and computational complexity.

scholarly journals Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air Flow

2015 ◽  
Vol 2015 ◽  
pp. 1-14 ◽  
Author(s):  
Y. X. Hao ◽  
W. Zhang ◽  
S. B. Li ◽  
J. H. Zhang
Keyword(s):  
Power Distribution ◽  
Degrees Of Freedom ◽  
Nonlinear Dynamic System ◽  
Simulation Method ◽  
Cylindrical Panel ◽  
Aerodynamic Load ◽  
Thickness Direction ◽  
Linear Temperature ◽  
Nonlinear Dynamical ◽  
External Loads

Chaotic and periodic motions of an FGM cylindrical panel in hypersonic flow are investigated. The cylindrical panel is also subjected to in-plane external loads and a linear temperature variation in the thickness direction. The temperature dependent material properties of panel which are assumed to be changed through the thickness direction only can be determined by a simple power distribution in terms of the volume fractions. With Hamilton’s principle for an elastic body, a nonlinear dynamical model based on Reddy’s first-order shear deformation shell theory and von Karman type geometric nonlinear relationship is derived in the form of partial equations. A third-order piston theory is adopted to evaluate the hypersonic aerodynamic load. Here, Galerkin’s method is employed to discretize this continuous nonlinear dynamic system to ordinary differential governing equations involving two degrees of freedom. The chaotic and periodic response are studied by the direct numerical simulation method for influences of different Mach number and the value of in-plane load. The bifurcations, Poincare section, waveform, and phase plots are presented.

Sign in / Sign up

Export Citation Format

Share Document