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

A Cartesian coordinate system and absorbing boundary technology, applied in the field of computational electromagnetics, can solve problems such as unsatisfactory absorption of low-frequency litter waves, achieve fast calculation speed, effective absorption, and avoid field splitting

Inactive Publication Date: 2018-08-03
XIAN UNIV OF TECH +1
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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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  • A Realization Method of Exactly Matching Absorbing Boundary in Extended Cartesian Coordinate System
  • A Realization Method of Exactly Matching Absorbing Boundary in Extended Cartesian Coordinate System
  • A Realization Method of Exactly Matching Absorbing Boundary in Extended Cartesian Coordinate System

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Embodiment Construction

[0055] The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0056] In the present invention, a method for realizing a fully matching absorption boundary under an extended Cartesian coordinate system is based on the following principles: firstly derive Maxwell's equations satisfied by the electromagnetic field in the PML under a complex extended Cartesian coordinate system; then use a new high-speed and effective The WLP-FDTD method deduces the update equation of the electromagnetic field component coefficient; finally, the first formula in formula (10) is used to solve the electromagnetic field component at the observation point.

[0057] When calculating the update equation of the electromagnetic field component coefficient, it is first necessary to derive the Maxwell equation that the electromagnetic field in the PML satisfies in the complex extended Cartesian coordinate system;

[0058] In the comp...

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Abstract

The invention discloses an implementation method for complete matching of an absorbing boundary under an expansion rectangular coordinate system. The implementation method comprises the following steps that a model file is input; parameters are initialized and set; a field source is added into an electric field component coefficient, and the electric field component coefficient (please see the symbol in the specification) of a whole calculation area in the y direction is updated and calculated; the electric field component coefficient (please see the symbol in the specification) of the whole calculation area in the x direction is updated and calculated; the magnetic field component coefficient of the whole calculation area is updated and calculated; auxiliary variables of the electromagnetic field component coefficient of the whole calculation area are updated and calculated; the electromagnetic field component at an observation point is updated and calculated, q+1 is assigned to q, whether the order q of a Laguerre polynomial reaches a preset value or not is judged, return is carried out if the order q does not reach the preset value, and the process is ended if the order q reaches the preset value. According to the implementation method for complete matching of the absorbing boundary under the expansion rectangular coordinate system, the calculation speed is high, and absorption to low frequency and wither waves is more effective.

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 rectangular coordinate system. 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 Dimension method (locally one dimensional, LOD) and WLP-FDTD method. Among these methods, the WLP-FDTD method can not only eliminate the limitation of the Cauchy stability condition, but also solve the problem that the ADI-FDTD method produces a large dispersion ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
Inventor 刘江凡朱忠博方云席晓莉
Owner XIAN UNIV OF TECH
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