First-Order Acoustic Wave Equations and Scattering by Atmospheric Turbules.

1997 ◽  
Author(s):  
George H. Goedecke ◽  
Michael DeAntonio ◽  
Harry J. Auvermann
Keyword(s):  
Acoustic Wave ◽  
Wave Equations ◽  
First Order

scholarly journals A temporal fourth-order scheme for the first-order acoustic wave equations

2013 ◽  
Vol 194 (3) ◽  
pp. 1473-1485 ◽  
Author(s):  
Guihua Long ◽  
Yubo Zhao ◽  
Jun Zou
Keyword(s):  
Acoustic Wave ◽  
Fourth Order ◽  
Wave Equations ◽  
First Order ◽  
Order Scheme

scholarly journals RECOVERING THE GRADIENTS OF THE SOLUTIONS OF SECOND ORDER HYPERBOLIC EQUATIONS BY INTERPOLATING THE FINITE ELEMENT SOLUTIONS

1995 ◽  
Vol 03 (01) ◽  
pp. 27-56 ◽  
Author(s):  
TAO LIN ◽  
HONG WANG
Keyword(s):  
Finite Element ◽  
Acoustic Wave ◽  
Wave Equations ◽  
Polynomial Interpolation ◽  
Hyperbolic Equations ◽  
Second Order ◽  
Acoustic Wave Equation ◽  
Degree Polynomial ◽  
First Order ◽  
Derivatives Of

We present a technique to generate better approximations to the gradients of the solutions of the second order hyperbolic (acoustic wave) equations by postprocessing finite element solutions with higher degree polynomial interpolation. The postprocessing procedure is inexpensive, local, vectorizable, and parallelizable. In addition, the postprocessing procedure is independent of the computation of the finite element solution; therefore it can be easily incorporated with the existing finite element codes to efficiently generate globally better approximations to the gradients or first order partial derivatives of the main quantities of the acoustic field modeled by the acoustic wave equation.

Bhabha first-order wave equations. VI. Exact, closed-form, Foldy-Wouthuysen transformations and solutions

1977 ◽  
Vol 15 (2) ◽  
pp. 433-444 ◽  
Author(s):  
R. A. Krajcik ◽  
Michael Martin Nieto
Keyword(s):  
Closed Form ◽  
Wave Equations ◽  
First Order

scholarly journals Flexible thin-film acoustic wave devices with off-axis bending characteristics for multisensing applications

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Zhangbin Ji ◽  
Jian Zhou ◽  
Huamao Lin ◽  
Jianhui Wu ◽  
Dinghong Zhang ◽  
...  
Keyword(s):  
Acoustic Wave ◽  
Flexible Electronics ◽  
Wave Equations ◽  
Uv Light ◽  
Theoretical Calculations ◽  
Complex Deformation ◽  
Widespread Application ◽  
Glass Substrates ◽  
Saw Devices ◽  
Acoustic Wave Devices

AbstractFlexible surface acoustic wave (SAW) devices have recently attracted tremendous attention for their widespread application in sensing and microfluidics. However, for these applications, SAW devices often need to be bent into off-axis deformations between the acoustic wave propagation direction and bending direction. Currently, there are few studies on this topic, and the bending mechanisms during off-axis bending deformations have remained unexplored for multisensing applications. Herein, we fabricated aluminum nitride (AlN) flexible SAW devices by using high-quality AlN films deposited on flexible glass substrates and systematically investigated their complex deformation behaviors. A theoretical model was first developed using coupling wave equations and the boundary condition method to analyze the characteristics of the device with bending and off-axis deformation under elastic strains. The relationships between the frequency shifts of the SAW device and the bending strain and off-axis angle were obtained, and the results were identical to those from the theoretical calculations. Finally, we performed proof-of-concept demonstrations of its multisensing potential by monitoring human wrist movements at various off-axis angles and detecting UV light intensities on a curved surface, thus paving the way for the application of versatile flexible electronics.

scholarly journals Wave Equations and Symmetric First-order Systems in Case of Low Regularity

2013 ◽  
pp. 283-296
Author(s):  
Clemens Hanel ◽  
Günther Hörmann ◽  
Christian Spreitzer ◽  
Roland Steinbauer
Keyword(s):  
Wave Equations ◽  
Low Regularity ◽  
First Order

Staggered-Grid High-Order Differencemethod for the First-Order Elastic Wave Equations

2000 ◽  
Vol 43 (3) ◽  
pp. 441-449 ◽  
Author(s):  
Liang-Guo DONG ◽  
Zai-Tian MA ◽  
Jing-Zhong CAO
Keyword(s):  
Elastic Wave ◽  
Wave Equations ◽  
High Order ◽  
Staggered Grid ◽  
First Order ◽  
Elastic Wave Equations
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