Abstract
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.
Highlights
Electromagnetic lateral propagation, which includes lateral scattering, lateral diffraction, and the depolarization effect, affects the actual propagation in irregular terrains, especially in situations with steep transverse gradients
The WA-3DPE decomposition model can deal with the horizontal diffraction and vertical diffraction caused by irregular terrain obstructions simultaneously
In order to accelerate the computational speed, we proposed to apply the recursive convolution (RC) formulation with vector fitting (VF) method in the diffraction nonlocal boundary condition (BC)
Summary
Electromagnetic lateral propagation, which includes lateral scattering, lateral diffraction, and the depolarization effect, affects the actual propagation in irregular terrains, especially in situations with steep transverse gradients. To accelerate the computational speed of the scalar wide-angle 3DPE (WA3DPE), we propose a decomposition algorithm According to this algorithm, the total field at the receiving point is approximately the sum of the straight wave and diffraction wave with the shortest propagation path. The WA-3DPE decomposition model can deal with the horizontal diffraction and vertical diffraction caused by irregular terrain obstructions simultaneously This approximation can largely decrease the computational complexity of the WA-3DPE and can accelerate the speed of computation. It has the disadvantage that the 2DPE ignored the lateral scattering and diffraction, and, due to the presence of a spatial convolution integral, the computation is time-consuming This computation is memory demanding as it requires the storage and use of all previous values of the field along the boundary.
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