Two-Dimensional Transient Analysis of Absorbing Thin Films in Laser Treatments

1999 ◽  
Vol 122 (1) ◽  
pp. 113-117 ◽  
Author(s):  
N. Bianco ◽  
O. Manca
Keyword(s):  
Thin Film ◽  
Thermal Field ◽  
Optical Field ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Absorption Function ◽  
The Matrix ◽  
Laser Treatments ◽  
Laser Heat Source ◽  
The One

In this paper the transient coupled conductive-radiative field, due to a laser heat source impinging on a thin film deposited on a substrate, has been solved in the hypothesis of one dimensionality of the optical field and of two dimensionality of the thermal field. Results have been obtained with the matrix method for the optical field and the finite volume method for the thermal field. The results show that when the investigation is localized to the center of the spot, the one-dimensional model describes the thermal field quite well. Instead, if knowledge of the temperature is required elsewhere, the two-dimensional model is needed. The investigation herein presented shows that for low-conductivity materials (a–Si) the temperature peaks are placed inside the thin film for the absorption function distribution, determined by interference phenomena. [S0022-1481(00)01301-3]

scholarly journals Divergent ⇒ complex amplitudes in two dimensional string theory

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Ashoke Sen
Keyword(s):  
Scattering Amplitudes ◽  
String Theory ◽  
Matrix Model ◽  
Two Dimensional ◽  
Full Matrix ◽  
Instanton Contribution ◽  
The Matrix ◽  
Theory Result ◽  
The One ◽  
Remarkable Agreement

Abstract In a recent paper, Balthazar, Rodriguez and Yin found remarkable agreement between the one instanton contribution to the scattering amplitudes of two dimensional string theory and those in the matrix model to the first subleading order. The comparison was carried out numerically by analytically continuing the external energies to imaginary values, since for real energies the string theory result diverges. We use insights from string field theory to give finite expressions for the string theory amplitudes for real energies. We also show analytically that the imaginary parts of the string theory amplitudes computed this way reproduce the full matrix model results for general scattering amplitudes involving multiple closed strings.

Quantum entanglement in some topological insulator models

2019 ◽  
Vol 33 (24) ◽  
pp. 1950284 ◽  
Author(s):  
L. S. Lima
Keyword(s):  
Quantum Entanglement ◽  
Topological Insulator ◽  
Topological Charge ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Model Case ◽  
Topological Transition ◽  
One Dimensional ◽  
Zhang Model ◽  
The One

Quantum entanglement is studied in the neighborhood of a topological transition in some topological insulator models such as the two-dimensional Qi–Wu–Zhang model or Chern insulator. The system describes electrons hopping in two-dimensional chains. For the one-dimensional model case, there exist staggered hopping amplitudes. Our results show a strong effect of sudden variation of the topological charge Q in the neighborhood of phase transition on quantum entanglement for all the cases analyzed.

The Influence of Wood Specimen Surface Coating on Moisture Movement during Drying

Holzforschung ◽  
2002 ◽  
Vol 56 (5) ◽  
pp. 541-546 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas
Keyword(s):  
Surface Coating ◽  
Transverse Section ◽  
Wood Specimen ◽  
Two Dimensional ◽  
Drying Process ◽  
Dimensional Model ◽  
Wood Drying ◽  
Moisture Movement ◽  
One Dimensional ◽  
The One

Summary A model of wood drying under isothermal conditions taking into consideration coating of the surface of a specimen is presented in this paper in a two-dimensional formulation. The influence of the surface coating degree as well as geometrical shape of a wood specimen on the dynamics of drying is investigated. Exponentials, describing the dependence of the halfdrying time on the degree of coating of the edges, as well as on the ratio of the width to the thickness of the transverse section of specimens from the northern red oak (Quercus rubra), are presented for drying from above the fiber saturation point. This paper describes the conditions of usage of the two-dimensional moisture transfer model in contrast to the one-dimensional model for accurate prediction of the drying process taking into consideration the coating of edges of specimens having a rectangular transverse section. A measure of reliability of the one-dimensional model to predict the wood drying process of sawn boards is introduced in this paper.

scholarly journals Lithium Niobate Micro-transducers matrix design

2019 ◽  
Vol 281 ◽  
pp. 01001
Author(s):  
Hala El Rammouz ◽  
Farouk Benmeddour ◽  
Jamal Assaad ◽  
Emmanuel Moulin ◽  
Lucie Dupont ◽  
...  
Keyword(s):  
Lithium Niobate ◽  
Real Time ◽  
Experimental Tests ◽  
Fabrication Process ◽  
Two Dimensional ◽  
Low Frequencies ◽  
Impedance Analyzer ◽  
The Matrix ◽  
The One ◽  
Matrix Design

In this work, a two-dimensional (2D) Lithium Niobate (LiNbO3) 36°Y-cut micro-transducers (μTs) matrix design is presented. Two main steps define the fabrication process: electrode deposition and photolithography. These steps are preceded by the optical mask conception, which defines the 2D matrix pattern. In contrary to the one element case, this μTs matrix allows to automatically scan a desired structure in real time. The μTs matrix is characterized using an impedance analyzer. Furthermore, the experimental tests carried out in order to demonstrate the matrix functionality at low frequencies [200 - 800] kHz are presented.

scholarly journals A Note on the Unsteady Cavity Flow in a Tunnel

1974 ◽  
Vol 96 (1) ◽  
pp. 25-28
Author(s):  
J. H. Kim ◽  
A. J. Acosta
Keyword(s):  
Slug Flow ◽  
Strong Dependence ◽  
Complex Form ◽  
Cavity Flow ◽  
Inertial Oscillation ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Free Jet ◽  
The One ◽  
Limiting Case

The unsteady internal cavitating flow such as the one observed in a pump or a turbine is studied for a simple two-dimensional model of a base-cavitating wedge in an infinite tunnel and it is shown how the cavitation compliance can be calculated using the linearized free streamline theory. Numerical values are obtained for the limiting case of a free jet. Two important features are: First, the cavitation compliance is found to be of complex form, having additional resistive and reactive terms beyond the purely inertial oscillation of the whole channel in “slug flow.” Second, the compliance has a strong dependence on frequency.

Numerical Simulation of a Soil Filtration Treatment Based on Balance

1986 ◽  
Vol 18 (7-8) ◽  
pp. 391-396
Author(s):  
M. Suzuki ◽  
H. Kawashima ◽  
T. Kawanishi
Keyword(s):  
Oxygen Diffusion ◽  
Infiltration Rate ◽  
Distribution Patterns ◽  
Operating Conditions ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Matrix Potential ◽  
Two Dimensional Model ◽  
The Matrix ◽  
Soil Filtration

A sophisticated two-dimensional model to simulate the concentration distributions of BOD, oxygen and biomass in a soil filtration treatment system is presented. The model incorporates, in addition to infiltration of wastewater, oxygen diffusion in a soil and bacterial growth and respiration. The matrix potential concept was used to describe two-dimensional infiltration from the source. The model showed that the distribution patterns of biomass in a soil are governed both by the rate of oxygen diffusion and by the wastewater infiltration rate. Applying the model to a trench type plant under ordinary operating conditions, it became apparent that only the soil adjacent to the trench is utilized for the treatment.

A Two-Dimensional Model of the Fluid Dynamics of an Air Reverser

1998 ◽  
Vol 65 (1) ◽  
pp. 171-177 ◽  
Author(s):  
S. Mu¨ftu¨ ◽  
T. S. Lewis ◽  
K. A. Cole ◽  
R. C. Benson
Keyword(s):  
Design Guidelines ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Web Handling ◽  
One Dimensional ◽  
Air Supply ◽  
Two Dimensional Model ◽  
The One ◽  
The Web

A theoretical analysis of the fluid mechanics of the air cushion of the air reversers used in web-handling systems is presented. A two-dimensional model of the air flow is derived by averaging the equations of conservation of mass and momentum over the clearance between the web and the reverser. The resulting equations are Euler’s equations with nonlinear source terms representing the air supply holes in the surface of the reverser. The equations are solved analytically for the one-dimensional case and numerically for the two-dimensional case. Results are compared with an empirical formula and the one-dimensional airjet theory developed for hovercraft. Conditions that maximize the air pressure supporting the web are analyzed and design guidelines are deduced.

Nonmonocentric Urban Configurations in a Two-Dimensional Space

1989 ◽  
Vol 21 (3) ◽  
pp. 363-374 ◽  
Author(s):  
H Ogawa ◽  
M Fujita
Keyword(s):  
Land Use ◽  
Dimensional Space ◽  
Urban Land ◽  
Urban Land Use ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Circular Symmetry ◽  
One Dimensional ◽  
Urban Configurations ◽  
The One

A one-dimensional model of nonmonocentric urban land use is extended into a two-dimensional space. Under the assumption of circular symmetry, it is shown that the equilibrium urban configurations in the two-dimensional space are essentially the same as those in the one-dimensional space except for the conditions on the parameters.

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