Optimal nonlocal boundary control of the wide-angle parabolic equation for inversion of a waveguide acoustic field

2005 ◽  
Vol 117 (5) ◽  
pp. 2937-2948 ◽  
Author(s):  
Matthias Meyer ◽  
Jean-Pierre Hermand
Keyword(s):  
Parabolic Equation ◽  
Boundary Control ◽  
Acoustic Field ◽  
Nonlocal Boundary ◽  
Wide Angle

scholarly journals Combination of the Improved Diffraction Nonlocal Boundary Condition and Three-Dimensional Wide-Angle Parabolic Equation Decomposition Model for Predicting Radio Wave Propagation

2017 ◽  
Vol 2017 ◽  
pp. 1-10
Author(s):  
Ruidong Wang ◽  
Guizhen Lu ◽  
Rongshu Zhang ◽  
Weizhang Xu
Keyword(s):  
Boundary Condition ◽  
Wave Propagation ◽  
Parabolic Equation ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Three Dimensional ◽  
Wide Angle ◽  
Computational Accuracy ◽  
Decomposition Model ◽  
Convolution Integrals

Diffraction nonlocal boundary condition (BC) is one kind of the transparent boundary condition which is used in the finite-difference (FD) parabolic equation (PE). The greatest advantage of the diffraction nonlocal boundary condition is that it can absorb the wave completely by using one layer of grid. However, the speed of computation is low because of the time-consuming spatial convolution integrals. To solve this problem, we introduce the recursive convolution (RC) with vector fitting (VF) method to accelerate the computational speed. Through combining the diffraction nonlocal boundary with RC, we achieve the improved diffraction nonlocal BC. Then we propose a wide-angle three-dimensional parabolic equation (WA-3DPE) decomposition algorithm in which the improved diffraction nonlocal BC is applied and we utilize it to predict the wave propagation problems in the complex environment. Numeric computation and measurement results demonstrate the computational accuracy and speed of the WA-3DPE decomposition model with the improved diffraction nonlocal BC.

Extra-wide-angle parabolic equation for wave propagation in inhomogeneous media

2019 ◽  
Vol 146 (4) ◽  
pp. 3035-3036
Author(s):  
Vladimir E. Ostashev ◽  
D. Keith Wilson ◽  
Michael Muhlestein ◽  
Michael Shaw ◽  
Michelle E. Swearingen ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Parabolic Equation ◽  
Inhomogeneous Media ◽  
Wide Angle
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