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Laguerre-polynomials-based perfectly matched layer implementing method with fewer splitting errors

A technology of fully matching layer and implementation method, which is applied in the field of fully matching layer realization to reduce splitting errors, and can solve problems such as unsatisfactory absorption of low-frequency litter waves

Active Publication Date: 2017-05-31
XIAN UNIV OF TECH
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

The above three absorption boundaries can be applied to the electromagnetic field calculation of the WLP-FDTD method, but the absorption effects of the above absorption boundaries on low frequencies and litter waves are not ideal

Method used

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  • Laguerre-polynomials-based perfectly matched layer implementing method with fewer splitting errors
  • Laguerre-polynomials-based perfectly matched layer implementing method with fewer splitting errors
  • Laguerre-polynomials-based perfectly matched layer implementing method with fewer splitting errors

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Embodiment

[0174] Calculation of Point Source Radiation

[0175] Carry out according to method step of the present invention, as figure 2 As shown, the entire calculation area in the experiment is a 50×50 grid, and the grid size is 1cm×1cm, that is, Δx=Δy=1cm. The four boundaries adopt the PML absorption boundary of the 8-layer grid. The source added in the calculation is located in the grid (25, 25). The expression of the added field source is as follows:

[0176]

[0177] Among them, T c =5ns, T d= 1 ns. The observation points are located at the (40, 40) grid. Time step Δt=117.85p, number of s iterations is k=2, order of weighted Laguerre polynomial q=120, time expansion factor s=2.5×10 10 , the whole simulation time is T f =16.5ns, PML absorption boundary parameter κ ζmax =19,σ ζmax =0.8×σ opt , α ζmax =0.0161, m=3. Adopt the electric field component E at the observation point place that the inventive method calculates y See image 3 . From image 3 It can be seen t...

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Abstract

The invention discloses a Laguerre-polynomials-based perfectly matched layer implementing method with fewer splitting errors, comprising the specific steps of inputting a model file; initializing and setting parameters; adding a field source to electric field component coefficient in direction y, and using factor splitting WLP-FDTD (Weighted Laguerre Polynomials and finite difference time domain) method to calculate the electric field component coefficient denoted as initial field value; update-calculating electric field component coefficient in direction y in a whole calculation area; update-calculating electric field component coefficient in direction x in the whole calculation area; judging whether the number of iterations k reaches a preset value or not; update-calculating electromagnetic field component of an observation point; judging whether order q of Laguerre polynomials reaches a preset value or not. The Laguerre-polynomials-based perfectly matched layer implementing method with fewer splitting error has high calculating speed and high precision, and provides more effective absorption of low frequency and evanescent wave.

Description

technical field [0001] The invention belongs to the technical field of computational electromagnetics, and in particular relates to a method for realizing a complete matching layer based on Laguerre polynomials and reducing splitting errors. Background technique [0002] It is well known that the time step of the Finite-difference time-domain (FDTD) method is limited by the Cauchy stability condition, which limits the application of the FDTD method in fine structure models. In order to eliminate the limitation of the Cauchy stability condition, unconditionally stable finite-difference time-domain methods have been proposed, such as: Alternating-Direction-Implicit (ADI) finite-difference time-domain (ADI-FDTD) method, local one Locally one dimensional (LOD) finite difference in time domain (LOD-FDTD) method and Laguerre polynomial-based finite difference in time domain (WLP-FDTD) method. Among these methods, the WLP-FDTD method can not only eliminate the limitation of the Ca...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/23Y02E60/00
Inventor 席晓莉方云李征委刘江凡蒲玉蓉
Owner XIAN UNIV OF TECH
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