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.
CN107368652AInactive Publication Date: 2017-11-21TIANJIN POLYTECHNIC UNIV
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Patent Information

Authority / Receiving Office
CN · China
Current Assignee / Owner
TIANJIN POLYTECHNIC UNIV
Publication Date
2017-11-21
Estimated Expiration
Not applicable · inactive patent

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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.
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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...

Claims

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