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A Realization Method of Exactly Matching Absorbing Boundary in Extended Cylindrical Coordinate System

An absorption boundary, fully matched technology, applied in the field of computational electromagnetics, can solve the problems of low frequency and unsatisfactory fading wave absorption effect.

Inactive Publication Date: 2018-09-25
XIAN UNIV OF TECH +1
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Problems solved by technology

The above absorption boundary is not ideal for absorbing low frequency and litter waves

Method used

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  • A Realization Method of Exactly Matching Absorbing Boundary in Extended Cylindrical Coordinate System
  • A Realization Method of Exactly Matching Absorbing Boundary in Extended Cylindrical Coordinate System
  • A Realization Method of Exactly Matching Absorbing Boundary in Extended Cylindrical Coordinate System

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Embodiment Construction

[0061] The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0062] In the present invention, a method for realizing a fully matching absorption boundary under an extended cylindrical coordinate system is based on the following principles: firstly derive the Maxwell equations satisfied by the electromagnetic field in the PML under the complex extended cylindrical coordinate system; then use the new high-speed and effective WLP- The FDTD method derives the update equation of the coefficient of the electromagnetic field component on the off-axis; then derives the update equation of the coefficient of the electromagnetic field component on the axis; finally, the first formula in formula (13) is used to solve the electromagnetic field component at the observation point.

[0063] The process of deriving Maxwell's equations satisfied by the electromagnetic field in PML in the complex extended cylindrical coor...

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Abstract

The invention discloses an implementation method of a completely-matched absorption boundary under a development column coordinate system. The method comprises the following steps: inputting a model file; initializing parameters and setting parameters; adding a field source into an electric field component coefficient, and updating and computing an electric field component coefficient along a z direction in a whole computation region; updating and computing an electric field component coefficient along a p direction in the whole computation region; updating and computing the magnetic field component coefficient of the whole computation region; updating and computing the auxiliary variable of the electromagnetic field component coefficient of the whole computation region; updating and computing an electromagnetic field component on an observation point; assigning q+1 to q, judging whether or not the order q of a Laguerre polynomial reaches a preset value, and returning to the step 3 if the preset value is not reached; and if the preset value is reached, ending. The implementation method of the completely-matched absorption boundary under the development column coordinate system has a high computation speed, and is more effective to absorption of low-frequency and evanescent waves.

Description

technical field [0001] The invention belongs to the technical field of computational electromagnetics, and relates to a method for realizing a complete matching absorption boundary under an extended cylindrical coordinate system. Background technique [0002] The Finite-difference time-domain (FDTD) method is a fully explicit time-step electromagnetic numerical calculation method, and its time step is limited by the Cauchy stability condition. When solving fine-structure electromagnetic field problems, it is difficult to solve them using FDFD method. In order to eliminate the limitation of the Cauchy stability condition, an unconditionally stable finite-difference time-domain method is proposed, such as: Alternating-Direction-Implicit (ADI) finite-difference time-domain (ADI-FDTD) method and weighted pull-based The Weighted-Laguerre-polynomials Finite-difference time-domain (WLP-FDTD) method for Gaelic polynomials. Among these methods, the WLP-FDTD method can not only use ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/10G06F17/11
Inventor 席晓莉方云刘江凡朱忠博
Owner XIAN UNIV OF TECH
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