A laminated matrix decomposition-based low frequency electromagnetic property simulation method

A technology of electromagnetic characteristics and simulation methods, applied in design optimization/simulation, electrical digital data processing, special data processing applications, etc., can solve problems such as large calculation consumption and infeasibility, improve performance, increase iterative convergence speed, and solve The effect of iterative convergence is slow or even non-convergent

Active Publication Date: 2017-07-28
NANJING UNIV OF POSTS & TELECOMM
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Problems solved by technology

However, employing direct solutions to solve large-scale low-frequency problems is generally considered infeasible due to the huge computational cost of direct solutions

Method used

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  • A laminated matrix decomposition-based low frequency electromagnetic property simulation method
  • A laminated matrix decomposition-based low frequency electromagnetic property simulation method
  • A laminated matrix decomposition-based low frequency electromagnetic property simulation method

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Embodiment 1

[0116] The method of the invention is used to analyze the low-frequency electromagnetic scattering characteristics of an aircraft target with a complex shape. The electrical size of the aircraft target is 0.16λ×0.11λ×0.04λ, where λ represents the wavelength of the incident electromagnetic wave, such as Figure 7 shown. The target is illuminated by an incident plane wave of 10 MHz. Triangular unit discretization is used to generate 40,704 edges and 27,136 patches, and the minimum edge length is only 0.910×10 -4 lambda. According to the steps of the present invention, a precondition based on stacked matrix decomposition is constructed. The number of layers of the low-frequency multi-layer fast multipole algorithm is set to 5 layers, the number of layers of the stacked matrix to be constructed is 18 layers, the number of multipoles P is set to 5, and the allowable block recompression accuracy ε rec Take it as 10 -3 . The stacked matrix decomposition precondition is used to ...

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Abstract

The invention provides a laminated matrix decomposition-based low frequency electromagnetic property simulation method. Firstly, the problem of low frequency collapse of the conventional electric field integral equation method is eliminated by employing an augmented electric field integral equation method; a low frequency multi-level fast multi-pole method is adopted to establish a laminated matrix expression for the coefficient matrix of the augmented electric field integral equation; the laminated matrix is further compressed by using a double compression method to remove redundant information; finally, a laminated matrix format algorithm is adopted to perform upper-lower triangular decomposition on the compressed laminated matrix. The laminated matrix decomposition can reduce calculating complexity and memory consumption to be almost linear; a precondition technology is constructed for an iteration solution and a direct solution is constructed. The method has the advantages of high solving speed, low memory consumption and precision controllability and can be applied to various kinds of low frequency electromagnetic property analysis.

Description

technical field [0001] The invention relates to the technical field of electromagnetic simulation, in particular to a low-frequency electromagnetic characteristic simulation method based on laminated matrix decomposition. Background technique [0002] With the development of microelectronics technology and manufacturing process, more and more complex and fine structures have emerged in the fields of computer chip packaging design, high-speed integrated circuit design, antenna design, target electromagnetic scattering characteristic analysis, and electromagnetic compatibility analysis. Target. The size of these objects is much smaller than the wavelength or the size of the geometric modeling subdivision is much smaller than the wavelength, all of which belong to the category of low frequency problems. For the analysis of low-frequency problems, the error of the quasi-static method will become larger and larger as the operating frequency increases. Therefore, electromagnetic...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50G06F17/16
CPCG06F17/16G06F30/20G06F2113/18
Inventor 宛汀洪涛时艳玲
Owner NANJING UNIV OF POSTS & TELECOMM
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