Unconditional stable FDTD algorithm for processing complex dispersive medium

Abstract

The invention discloses an unconditional stable FDTD algorithm for processing a complex dispersive medium, and belongs to the field of computational electromagnetism. According to the method disclosed by the invention, the unconditional stability WLP-FDTD algorithm based on the laguerre polynomial and the modified Lorentz model can be used for processing the Debye model, the Dyde model, the Lorentz model, the critic point model, the QCRF model, the CCPR model, the Cole-Cole model and the complex dispersive medium target expressed by any linear combination form of the Debye model, the Dyde model, the Lorentz model, the critic point model, the QCRF model, the CCPR model and the Cole-Cole model. The method has the advantages of being more universal, more efficient and unconditionally stable.

Description

technical field [0001] The invention belongs to the field of computational electromagnetics, and in particular relates to an unconditionally stable FDTD algorithm based on a modified Lorentz model and weighted laguerre polynomials for processing complex dispersion medium targets. Background technique [0002] Computational electromagnetics is an interdisciplinary subject that combines electronic computers and numerical calculation methods to solve Maxwell's equations in electromagnetism. With the development of computer technology and the continuous enrichment of electromagnetic theory, the time-domain electromagnetic calculation method has made great progress, and it complements the frequency-domain numerical method. The time-domain method allows people to directly analyze the time-varying electromagnetic phenomena with wide-spectrum characteristics, so that the interaction between time-varying electromagnetic fields and objects can be simulated more intuitively. The finit...

AI Technical Summary

Problems solved by technology

The traditional unconditionally stable FDTD method requires different formula derivation for different media models, which has poor versatility

Although some general methods have been proposed, but for more complex dispersion models, they still cannot cover well

According to reports, the modified Lorentz model can cover Debye, Drude, Lorentz, critical point, QCRF, CCPR models, and has better versatility and robustness, but this method is not combined with unconditionally stable FDTD, and cannot Covers fractional derivative models such as Cole-Cole models

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