Localization of One-Dimensional Thermoelastic Waves in Layered Structures

1999 ◽  
Author(s):  
Cetin Cetinkaya ◽  
Chen Li
Keyword(s):  
Layered Structures ◽  
Dynamical Theory ◽  
Sound Effect ◽  
Matrix Formulation ◽  
Thermoelastic Wave ◽  
One Dimensional ◽  
Transmission Coefficients ◽  
Propagation Properties ◽  
Systems Framework

Abstract Including the second sound effect, a transfer matrix formulation based on the generalized dynamical theory of thermoelasticity is developed for longitudinal wave component propagation in a thermoelastic layer. The attenuation and propagation properties of one-dimensional thermoelastic wave in both continuum and layered structures are studied using this formulation and the periodic systems framework. Localization of thermal waves is demonstrated in the time-spacial domain by an FFT-based transient analysis. A perturbation analysis tor identifying leading terms in thermal attenuation is performed, and the role of the thermal elastic coupling term in attenuation is determined. The reflection and transmission coefficients between half-spaces are calculated to evaluate the potential practical use of the approach in laser-based nondestructive testing.

Propagation and Localization of Longitudinal Thermoelastic Waves in Layered Structures

2000 ◽  
Vol 122 (3) ◽  
pp. 263-271 ◽  
Author(s):  
Cetin Cetinkaya ◽  
Chen Li
Keyword(s):  
Propagation Constant ◽  
Attenuation Factor ◽  
Layered Structures ◽  
Dynamical Theory ◽  
Transfer Model ◽  
Second Sound ◽  
Sound Effect ◽  
Matrix Formulation ◽  
Thermoelastic Waves ◽  
Second Sound Effect

Based on the generalized dynamical theory of thermoelasticity, a transfer matrix formulation including the second sound effect is developed for longitudinal wave component propagation in a thermoelastic layer. The second sound effect is included to eliminate the thermal wave travelling with infinite velocity as predicted by the diffusion heat transfer model. Using this formulation and the periodic systems framework, the attenuation and propagation properties of one-dimensional thermoelastic waves in both continuum and layered structures are studied. Strong localization of thermal waves predicted by the analysis in the transformed domain is demonstrated in the time-spacial domain by an FFT-based transient analysis. Also, a perturbation analysis for identifying leading terms in thermal attenuation is performed, and the role of the thermal elastic coupling term in attenuation is determined. The attenuation factor, defined as the real part of the propagation constant, is obtained in thermoelastic solids. The reflection and transmission coefficients between half-spaces are also calculated to evaluate the potential practical use of the approach in thermal-based nondestructive testing. [S0739-3717(00)00403-7]

Laser-Based Transient Surface Acceleration of Thermoelastic Layers

1999 ◽  
Author(s):  
Cetin Cetinkaya ◽  
Chen Li ◽  
Cunli Wu
Keyword(s):  
Wave Propagation ◽  
Transfer Matrix ◽  
Integral Transforms ◽  
Surface Cleaning ◽  
Current Work ◽  
Second Sound ◽  
Sound Effect ◽  
Matrix Formulation ◽  
Thermoelastic Wave ◽  
Second Sound Effect

Abstract The effectiveness of traditional surface cleaning methods, such as ultrasonically induced fluid flow, vibrational methods, centrifugal techniques, is limited to particles that require surface acceleration lower than 107m/s2. For sub-micron particles, a higher level surface acceleration is needed. In the current work, based on the generalized dynamic theory of thermoelasticity, a transfer matrix formulation including the second sound effect is developed for a layer. The transfer matrix for axisysmmetric wave propagation in the thermoelastic layer is obtained by adopting integral transforms. The second sound effect is included to eliminate the immediate arrival of thermal waves. A transfer function formulation for calculating the accelerations is developed for transient analysis. In the current work, only the surface acceleration due to transient thermoelastic wave propagation is under investigation.

Adiabatic large polarons in anisotropic molecular crystals

2011 ◽  
Vol 35 (1) ◽  
pp. 15-27
Author(s):  
Zoran Ivić ◽  
Željko Pržulj
Keyword(s):  
Energy Transfer ◽  
Effective Mass ◽  
Molecular Crystals ◽  
Single Chain ◽  
Proper Understanding ◽  
One Dimensional ◽  
Interchain Coupling ◽  
Large Polaron ◽  
The One

Adiabatic large polarons in anisotropic molecular crystals We study the large polaron whose motion is confined to a single chain in a system composed of the collection of parallel molecular chains embedded in threedimensional lattice. It is found that the interchain coupling has a significant impact on the large polaron characteristics. In particular, its radius is quite larger while its effective mass is considerably lighter than that estimated within the one-dimensional models. We believe that our findings should be taken into account for the proper understanding of the possible role of large polarons in the charge and energy transfer in quasi-one-dimensional substances.

Role of the Dimerized Gap Due to Anion Ordering in the Quantized Hall Phases of Quasi-One Dimensional Organic Conductors

2007 ◽  
Vol 142 (3-4) ◽  
pp. 477-480
Author(s):  
Noriaki Matsunaga ◽  
Katutosi Hino ◽  
Takamichi Ohta ◽  
Katsumi Yamashita ◽  
Kazushige Nomura ◽  
...  
Keyword(s):  
Organic Conductors ◽  
One Dimensional

Crystal truncation rod X-ray scattering: exact dynamical calculation

2008 ◽  
Vol 41 (1) ◽  
pp. 18-26 ◽  
Author(s):  
Václav Holý ◽  
Paul F. Fewster
Keyword(s):  
Reciprocal Lattice ◽  
Dynamical Theory ◽  
Lattice Points ◽  
Space Distribution ◽  
Matrix Formalism ◽  
X Ray ◽  
Transmission Coefficients ◽  
X Ray Scattering ◽  
Crystal Truncation Rod ◽  
Scattering Geometry

A new method is presented for a calculation of the reciprocal-space distribution of X-ray diffracted intensity along a crystal truncation rod. In contrast to usual kinematical or dynamical approaches, the method is correct both in the reciprocal-lattice points and between them. In the method, the crystal is divided into a sequence of very thin slabs parallel to the surface; in contrast to the well known Darwin dynamical theory, the electron density in the slabs is constant along the surface normal. The diffracted intensity is calculated by a matrix formalism based on the Fresnel reflection and transmission coefficients. The method is applicable for any polarization of the primary beam and also in a non-coplanar scattering geometry.

Role of One-Dimensional Ribbonlike Nanostructures in Dye-Sensitized TiO2-Based Solar Cells

2011 ◽  
Vol 115 (14) ◽  
pp. 7104-7113 ◽  
Author(s):  
Jiazang Chen ◽  
Bo Li ◽  
Jianfeng Zheng ◽  
Suping Jia ◽  
Jianghong Zhao ◽  
...  
Keyword(s):  
Solar Cells ◽  
One Dimensional ◽  
Dye Sensitized
Sign in / Sign up

Export Citation Format

Share Document