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Adaptive nested crossover approximation method for analyzing low-frequency electromagnetic characteristics

A technology of self-adaptive crossover and electromagnetic characteristics, which is applied to radio wave measurement systems, instruments, complex mathematical operations, etc., can solve the problems of large computing time and memory, affecting computing efficiency, and large scale of near-field, so as to reduce computing memory And time, programming to achieve simple, low-frequency numerically stable effect

Active Publication Date: 2018-06-15
NANJING UNIV OF SCI & TECH
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Problems solved by technology

In traditional fast calculation methods such as the multi-layer fast multipole method, the grouping size of the octree is generally greater than 0.2 wavelengths, which makes the near-field occupy a large scale and seriously affects the calculation efficiency; typical low-rank compression decomposition methods such as the adaptive cross approximation method , has the advantages of stable low-frequency numerical values ​​and simple programming implementation, but the process of low-rank matrix decomposition consumes huge computing time and memory, and it is difficult to meet the needs of engineering electromagnetic simulation for problems with large computational unknowns

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  • Adaptive nested crossover approximation method for analyzing low-frequency electromagnetic characteristics
  • Adaptive nested crossover approximation method for analyzing low-frequency electromagnetic characteristics
  • Adaptive nested crossover approximation method for analyzing low-frequency electromagnetic characteristics

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Embodiment 1

[0066] Combine Figure 5 According to the method of the present invention, low-frequency electromagnetic characteristics are simulated. Take 2 far-field interaction groups from a cylindrical grid with a radius of 0.5 m and a height of 4 m. The size of the group is 0.5 m. The RWG basis functions included are 1200 and 1030, and the incident plane wave frequency is 30 MHz. Attached Figure 4 As the truncation error ε of the adaptive crossover approximation method decreases, the two-norm error curve of the calculation results of the adaptive nested crossover approximation method and the high-precision moment method is given. The high-precision method of moments uses a Gaussian integration point with an inner and outer integral of 61. The method of moments in the figure is the result of using external integration 3 and internal integration 7 as the integration points. It can be seen that as the truncation error ε decreases, the calculation accuracy of the adaptive nested crossover ...

Embodiment 2

[0068] Combine Image 6 According to the method of the present invention and the traditional adaptive cross-approximation method, for a 0.5-meter radius radar scattering cross-sectional area (RCS), the incident plane wave frequency is 600MHz, and the incident angle is vertical incidence. It can be seen that the two sets of results are in good agreement, which further proves the correctness of the inventive method. The unknown amount of object discreteness is 6660, the number of octree layers is 3, the calculation time and memory of the adaptive cross approximation method are 35 minutes, 1.8GB, and the invented adaptive nested cross approximation method is used to calculate the time and memory respectively. It is 8 minutes, 300MB. It can be seen that the inventive method significantly improves the calculation efficiency of low-frequency electromagnetic scattering characteristics.

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Abstract

The invention discloses an adaptive nested crossover approximation method for analyzing low-frequency electromagnetic characteristics. The method comprises the steps of firstly extracting a grid fileof an electromagnetic analysis target, and setting an incident electromagnetic wave parameter; secondly grouping to-be-analyzed target grids by adopting an octree according to an average grid number in each group, defining discrete grids and groups where the discrete grids are located, and performing statistics on a basis function number in each non empty group; thirdly establishing a subordination relationship between the groups of adjacent layers, establishing an electrical field integral equation in a discrete grid region, and dividing the region into a near-field region and a far-field region according to the distances between the groups; fourthly calculating an impedance matrix formed between the non-adjacent groups by adopting the adaptive nested crossover approximation method; and finally obtaining a solution of the electrical field integral equation through iterative solving, thereby obtaining the low-frequency electromagnetic characteristics. The method has the advantages of stable low-frequency value, simple programming realization and high calculation efficiency, and realizes efficient analysis on the low-frequency electromagnetic characteristics.

Description

Technical field [0001] The invention relates to the technical field of electromagnetic simulation, in particular to an adaptive nested cross approximation method for low-frequency electromagnetic characteristic analysis. Background technique [0002] Low-frequency electromagnetic scattering analysis has gradually become one of the current difficulties in electromagnetic analysis. Typical problems include the analysis of micro-scale antenna arrays on large-scale platforms, the extraction of electromagnetic parameters of package interconnections in integrated circuits, and the electromagnetic compatibility inside the chassis. The characteristic of low-frequency electromagnetic scattering is that the size of the analyzed target is smaller than the wavelength, and the target has a complicated structure. Numerical modeling needs to discretize the target with fine grids, which leads to tens of thousands or even tens of thousands of discrete grids per unit square wavelength area. Hundre...

Claims

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Application Information

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IPC IPC(8): G06F17/17G06F17/11G01S7/41
CPCG01S7/418G06F17/11G06F17/17
Inventor 李猛猛余欢陈如山丁大志樊振宏
Owner NANJING UNIV OF SCI & TECH
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