Implementation method for allowing two-dimension cylindrical coordinates to completely absorb boundary in matching manner

A technology for absorbing boundaries and implementing methods, applied in the field of computational electromagnetics, can solve problems such as low frequency and unsatisfactory absorption effects of litter modes

Inactive Publication Date: 2012-10-10
西安居正知识产权运营管理有限公司
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Problems solved by technology

However, the absorption effect of the above-mentioned cylindrical coordinate PML absorption boundary on low frequency and litter mode is not ideal.
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  • Implementation method for allowing two-dimension cylindrical coordinates to completely absorb boundary in matching manner
  • Implementation method for allowing two-dimension cylindrical coordinates to completely absorb boundary in matching manner
  • Implementation method for allowing two-dimension cylindrical coordinates to completely absorb boundary in matching manner

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Embodiment Construction

[0074] The implementation method of the two-dimensional cylindrical coordinates of the present invention completely matching the absorption boundary, the specific steps are as follows:

[0075] Step 1. Input the model file.

[0076] The content of the model file includes: calculation area size Nr×Nz, where Nr is the number of grids in the direction of cylindrical coordinate ρ, Nz is the number of grids in the direction of cylindrical coordinate z; space step Δζ, ζ=ρ,z; time step Δt; In a vacuum state, the electrical conductivity of the grid in the entire calculation area is σ=0, and the magnetic permeability is μ 0 , permittivity ε 0 ; PML absorbing boundary layer number and related parameters κ ζmax and alpha ζζ , κ ζmax , ζ=ρ, z is any real number greater than 1, α ζζ , ζ=ρ, z, ζ=i, k, i+1 / 2, k+1 / 2 is any real number greater than or equal to 0 and less than 1, i, k represent space grid coordinates, i=0,1, 2…Nr, k=0,1,2…Nz; simulation calculation time; field source para...

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Abstract

The invention discloses an implementation method for allowing two-dimension cylindrical coordinates to completely absorb boundary in a matching manner. The method comprises the specific steps of inputting a model file, initializing a magnetic field, an electric field and related auxiliary variables to be zero, calculating a one-dimension coefficient array in a PML (perfectly matched layer), updating and calculating the electric displacement vector in a whole calculation area, updating and calculating the electric field of the whole calculation area, updating and calculating a source of the electric field, updating and calculating the auxiliary variables of the electric field in the PML area, updating and calculating the magnetic induction in the whole calculation area, updating and calculating the magnetic field of the whole calculation area, updating and calculating the auxiliary variables of the magnetic field in the PML area, judging whether to continue to update according to the set simulation calculation time, judging to continue to carry out calculation and returning to the step 3 if the actual calculation time is less than the set value, and otherwise, outputting the calculated electric and magnetic fields to completion. The implementation method can be combined with CFS (complex frequency shift) parameters to more effectively absorb electromagnetic waves spreading outwards.

Description

technical field [0001] The invention belongs to the technical field of computational electromagnetism, and in particular relates to a method for realizing completely matching absorption boundaries of two-dimensional cylindrical coordinates. Background technique [0002] Finite-difference time-domain method (FDTD, Finite-difference time-domain), as a time-domain numerical calculation method of electromagnetic field, has been widely used in fields such as radio wave propagation, antenna design, electromagnetic scattering, and electromagnetic compatibility. The introduction of the absorbing boundary makes the FDTD calculation in the finite area to solve the problem of propagation and scattering of radio waves in the infinite medium. The performance of the absorbing boundary is the main factor affecting the performance and accuracy of the FDTD method, among which the perfectly matched layer (PML, Perfectly matched layer) absorbing boundary is currently the most commonly used abs...

Claims

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Application Information

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IPC IPC(8): G06F19/00
Inventor 李建勋沈晓芹
Owner 西安居正知识产权运营管理有限公司
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