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A Time-Domain Efficient Numerical Hybrid Method for Electromagnetic Waves Based on Subgrid Technology

An electromagnetic wave and grid technology, applied in the field of computational electromagnetics, can solve the problems of long CPU execution time and small time step, and achieve the effect of reducing the number of iteration steps, avoiding irreversible problems, and improving computing efficiency

Active Publication Date: 2021-11-30
NORTHWESTERN POLYTECHNICAL UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, for the traditional Finite-Difference Time-Domain Method (FDTD) based on sub-grid technology, due to the limitation of the Courant stability condition, the time step must be selected according to the fine grid, so the time step The length ratio is small, causing the CPU execution time to still be very long

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  • A Time-Domain Efficient Numerical Hybrid Method for Electromagnetic Waves Based on Subgrid Technology
  • A Time-Domain Efficient Numerical Hybrid Method for Electromagnetic Waves Based on Subgrid Technology
  • A Time-Domain Efficient Numerical Hybrid Method for Electromagnetic Waves Based on Subgrid Technology

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Embodiment 1

[0172] Embodiment 1: In a 40×40 free space calculation area, the space step is Δx=Δy=0.001m. The 4 × 4 grids at the center of the calculation area are subdivided into fine grids according to the ratio of 1:2, and the absorption boundary conditions of perfectly matching layers are set around the calculation area, with a thickness of 10 layers.

[0173] Figure 6 It is shown that in the two-dimensional TE mode, the electric field intensity E y Graph over time.

[0174] Figure 7 It is shown that under the two-dimensional TM mode, the electric field intensity E y Graph over time.

Embodiment 2

[0175] Embodiment 2: Taking the TE mode as an example, in a 201×201 free space calculation area, the space step is Δx=Δy=0.001m. A grid at the center of the calculation area is subdivided into fine grids at a ratio of 1:10, and a perfectly matching layer absorbing boundary condition is set around the calculation area, with a thickness of 10 layers.

[0176] Figure 8 It is shown that the electric field intensity E y Graph over time.

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Abstract

The present invention proposes an electromagnetic wave time-domain efficient numerical hybrid method based on sub-grid technology. In the two-dimensional TE mode and TM mode, the time-domain finite difference method based on sub-grid technology is compared with the time-domain fine integration method. Combination, in which electrically small-scale structures are divided into local fine meshes, and other computational regions maintain larger-sized coarse meshes. Calculations are then performed using the finite-difference time-domain method with less memory requirements in the coarse-grid region, and fine-integration in the time-domain method with a larger time step matching the coarse-grid time step at the finer grid . Finally, the second-order Taylor expansion interpolation is used to exchange the calculation information between the coarse grid area and the fine grid area, so as to take advantage of the small memory requirement of the time domain finite difference method and the time domain fine integration method can choose a larger time step. , reduce the number of iteration steps, reduce computer memory requirements and CPU execution time, improve computing efficiency, and avoid waste of computing resources.

Description

technical field [0001] The invention belongs to the field of computational electromagnetics, and in particular relates to an electromagnetic wave time-domain high-efficiency numerical mixing method. Background technique [0002] For most complex electromagnetic wave numerical problems, especially the electromagnetic wave numerical problems that include electrically small-sized structures or units of electrically large size (that is, the calculation area is electrically large-sized, and contains electrically small-sized structures or units inside), the traditional processing method is The spatial grid is subdivided with an electrically small size as a reference, but the size of the subdivided grid in this way is small, resulting in a very large number of grids and high memory requirements. At the same time, for regions other than electrically small-scale structures, the subdivision is too dense, which is actually a waste of computing resources. Therefore, it is difficult to ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/23
Inventor 康祯杨方李伟林黄明王嘉玮邵景晖
Owner NORTHWESTERN POLYTECHNICAL UNIV
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