Abstract
In order to study the reflection of electromagnetic wave in Lorentz medium layer, the finite difference time domain method of auxiliary differential equation (ADE-FDTD) is used to derive the difference formula of two-dimensional TM wave propagating in lossy Lorentz medium, and the reflection coefficient of reflection field is calculated in one-dimensional case. The calculated reflection coefficients coincide very well, which shows that the derived propagation formula of two-dimensional TM wave in lossy Lorentz medium is correct. In addition, the reflection of plane electromagnetic wave by infinite high Lorentz medium layer is also simulated. The results show that the reflection of plane electromagnetic wave by Lorentz dispersive medium layer is correct.
Highlights
Many practical engineering problems require broadband analysis, such as the calculation of s parameters, antenna input impedance and target radar cross section
auxiliary differential equation (ADE) method is an effective method for calculating electric field intensity vector ( E ) and electric flux density ( D ) in dispersive media
The difference formula of two dimensional TM wave propagation in lossy Lorenz medium is derived by using the finite difference time domain method of auxiliary differential equation (ADE)
Summary
Many practical engineering problems require broadband analysis, such as the calculation of s parameters, antenna input impedance and target radar cross section. The finite-difference time-domain method (FDTD) was first proposed by Yee [1] in 1966 to solve the direct time-domain numerical solution of Maxwell equation. It treats all kinds of problems as initial value problems, which directly reflects the time-domain nature of electromagnetic field and has wide applicability. 3) According to the constitutive relation of dispersive medium D( ) 0 ( )E( ) , the electric field at ( n 1) time is calculated by auxiliary differential equation. In the second part of this paper, the formula of two-dimensional TM wave propagating in lossy Lorentz dispersion medium is deduced by ADE-FDTD method. The formula is validated in one-dimensional case and the reflection of plane electromagnetic wave by infinite high Lorentz dielectric layer is simulated
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