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Electromagnetic wave time domain fine integration method applied to magnetized plasma calculation

A plasma and fine integration technology, applied in the field of computational electromagnetics, can solve the problems of increasing discrete iteration time steps and irreversible coefficient matrices

Active Publication Date: 2020-05-15
NORTHWESTERN POLYTECHNICAL UNIV
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  • Claims
  • Application Information

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Problems solved by technology

This method can solve various electromagnetic field problems related to magnetized plasma, solve the irreversible problem of the coefficient matrix in the iterative solution process, reduce the complexity of the iterative process, increase the time step of discrete iteration, and improve the calculation efficiency

Method used

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  • Electromagnetic wave time domain fine integration method applied to magnetized plasma calculation
  • Electromagnetic wave time domain fine integration method applied to magnetized plasma calculation
  • Electromagnetic wave time domain fine integration method applied to magnetized plasma calculation

Examples

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Effect test

Embodiment 1

[0133] Embodiment 1: A magnetized plasma plate with a thickness of 1.5cm is set, the eigenfrequency of the magnetized plasma medium is 28.7GHz, the collision frequency of the magnetized plasma medium is 20GHz, and the electron cyclotron frequency is 1.0×10 11 rad / s. The time step is 0.625 ps, the space step is 75 μm, and 10 perfectly matched layer absorption boundary conditions are set. The incident wave is set as a discrete Gaussian pulse, the peak frequency is 50GHz, and the amplitude decreases by 10dB at 100GHz.

[0134] In Example 1, such as Figure 3 to Figure 6 Shown are the comparisons between the calculation results of the reflection coefficient and transmission coefficient of the left-handed polarized wave and the right-handed polarized wave after passing through the magnetized plasma plate using the numerical method proposed by the present invention and the analytical solution.

Embodiment 2

[0135] Embodiment 2: A two-dimensional resonant cavity filled with magnetized plasma is set, the size is 1.5cm×1.5cm, the eigenfrequency of the magnetized plasma medium is 28.7GHz, the collision frequency of the magnetized plasma medium is 20GHz, and the electron cyclotron frequency is 1.0×10 11 rad / s. The time step size is 0.6 ps and the spatial step size is 75 μm.

[0136] In Example 2, such as Figure 7 As shown, the numerical method proposed by the present invention is used to compare the calculation results of the magnetized plasma medium filling the two-dimensional resonant cavity with the calculation results of the traditional finite difference time domain method.

[0137] Such as Figure 8 As shown, the numerical algorithm proposed by the present invention has a time step of Δt to 10 6 When △t, the schematic diagram of the distribution of the eigenvalues ​​of the coefficient matrix M, the eigenvalues ​​are all distributed in the unit circle, where △t is the maximum...

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Abstract

The invention provides an electromagnetic wave time domain fine integration method applied to magnetized plasma calculation, and the method comprises the steps: building an auxiliary differential equation among an electric field vector, polarization current density and magnetized plasma parameters based on an auxiliary differential equation technology and a time domain fine integration technology,secondly, establishing a group of ordinary differential equations about time in combination with a control equation satisfied by the electromagnetic field quantity in vacuum, obtaining a time domainrecursion formula of the solution of the ordinary differential equations, then obtaining a high-precision calculation result of an exponential matrix in the ordinary differential equation set based ona fourth-order Taylor expansion formula, and finally, carrying out approximation by adopting a two-point Gaussian integral formula to obtain a discrete iterative recursion formula of an ordinary differential equation set solution. According to the method, various electromagnetic field problems related to magnetized plasma can be solved, the problem that a coefficient matrix is irreversible in theiterative solving process is solved, the complexity of the iterative process is reduced, the time step length of discrete iteration is increased, and the calculation efficiency is improved.

Description

technical field [0001] The invention belongs to the field of computational electromagnetics, and in particular relates to an electromagnetic wave time domain fine integration method. Background technique [0002] Magnetized plasma has a wide range of applications, and its analysis and research involve many aspects of basic theories, such as photonic crystals, stealth technology, surface plasmons, antenna design, etc. It plays a pivotal role in the fields of electromagnetic field theory and computational electromagnetics. status. How to conduct efficient and accurate numerical analysis of the electromagnetic field problems related to magnetized plasma is of great significance. [0003] In the numerical analysis of magnetized plasma, most of the most widely used time-domain numerical methods are based on the finite-difference time-domain method. Although the finite-difference time-domain method has the advantages of simplicity, intuition, and good versatility, its calculatio...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/13
CPCG06F17/13
Inventor 康祯杨方黄明李伟林邵景晖王嘉玮
Owner NORTHWESTERN POLYTECHNICAL UNIV
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