Algorithm for realizing perfectly matched layer realization by truncating plasmas based on CNDG algorithm

A completely matching layer and plasma technology, applied in the field of fully matching layer to realize the algorithm, can solve the problems of increasing memory, reducing calculation accuracy, increasing algorithm dispersion error, etc.

Inactive Publication Date: 2017-11-21
TIANJIN POLYTECHNIC UNIV
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Problems solved by technology

[0006] Although the ADI-FDTD algorithm and the LOD-FDTD algorithm remove the limitation of the stability condition, as the time step increases, the dispersion error of the algorith...

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  • Algorithm for realizing perfectly matched layer realization by truncating plasmas based on CNDG algorithm
  • Algorithm for realizing perfectly matched layer realization by truncating plasmas based on CNDG algorithm
  • Algorithm for realizing perfectly matched layer realization by truncating plasmas based on CNDG algorithm

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Embodiment Construction

[0021] The gist of the present invention is to propose a fully matching layer implementation algorithm based on the two-dimensional CNDG algorithm to truncate the plasma. The algorithm combines the piecewise linear recursive convolution method and the auxiliary differential equation method at the same time, which not only improves the calculation efficiency, but also saves time. , which ensures the calculation accuracy.

[0022] The embodiments of the present invention will be further described in detail below in conjunction with the accompanying drawings.

[0023] figure 1 It is a flowchart of the present invention, and the specific implementation steps are as follows:

[0024] Step 1: Modify Maxwell's equations of two-dimensional TM waves in the frequency domain to Maxwell's equations with complex frequency offset stretched coordinate variables, and express them in the Cartesian coordinate system;

[0025] The propagation of two-dimensional TM waves in plasma media can be ...

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Abstract

The invention relates to an algorithm for realizing a perfectly matched layer by truncating plasmas based on a CNDG algorithm, and belongs to the technical field of numerical simulation. The algorithm is technically characterized in that a complex frequency offset stretch coordinate variable is substituted into a two-dimensional corrected Maxwell equation set, and an auxiliary differential equation method is used. In a process of deriving a relationship between dielectric flux density D and an electric field E, a piecewise linear recursive convolution method is applied. By applying a CNDG method, the electric field is solved by solving a three-diagonal equation, so that the calculation efficiency is improved and the time is saved. The algorithm has the advantages of unconditional stability and increased electromagnetic field calculation speed.

Description

technical field [0001] The invention relates to the technical field of numerical simulation, in particular to a completely matching layer realization algorithm based on a two-dimensional Crank-NicolsonDouglas-Gunn (CNDG) algorithm to cut off plasma. Background technique [0002] As a computational electromagnetic method, the finite-difference time-domain method (FDTD) is widely used in various electromagnetic simulation calculations, such as antennas, radio frequency circuits, optical devices, and semiconductors. FDTD has the characteristics of wide applicability, suitable for parallel computing, and universality of computing programs. [0003] However, the traditional FDTD algorithm is limited by the Courant FriedrichsLewy (CFL) numerical stability condition, that is, the time step and space step must satisfy the CFL constraint: [0004] [0005] In the formula, Δt is the calculation time step, c is the light velocity of the medium in the FDTD calculation domain, and Δx...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23G06F2111/10
Inventor 李建雄史雪漾
Owner TIANJIN POLYTECHNIC UNIV
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