Analysis of Microstrip Circuit by Using Finite Difference Time Domain (FDTD) Method

2013 ◽  
Vol 347-350 ◽  
pp. 1758-1762
Author(s):  
Lei Zhang ◽  
Tong Bin Yu ◽  
De Xin Qu ◽  
Xiao Gang Xie
Keyword(s):  
Differential Equation ◽  
Nonlinear Differential Equation ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Fdtd Method ◽  
Transform Domain ◽  
Time Step ◽  
The Time Domain ◽  
Difference Time ◽  
Microstrip Circuit

The microstrip circuit is mostly analyzed in transform domain, because its equivalent circuit equation is often nonlinear differential equation, which is easily analyzed in transform domain relatively, but hardly did in time domain, so the analysis of microstrip circuit is a hard work in time domain. In this paper, the FDTD method is used to analyze the microstrip circuit in time domain, by transforming the nonlinear differential equation into time domain iterative equation, selecting suitable time step, and having an iterative computing, the time domain numerical solution can be solved. The FDTD method analyzing the microstrip circuit provides a new way of thought for analyzing microstrip circuit in time domain.

Application of ADE-FDTD Method in Lossy Lorentz Media

2014 ◽  
Vol 945-949 ◽  
pp. 2486-2489
Author(s):  
Qing Chao Nie ◽  
Bing Kang Chen
Keyword(s):  
Differential Equation ◽  
Wave Propagation ◽  
Finite Difference ◽  
Theoretical Result ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Fdtd Method ◽  
Time Domain Method ◽  
Domain Method ◽  
Difference Time

A finite-difference time-domain method based on the auxiliary differential equation (ADE) technique is used to obtain the formulation of 2-D TM wave propagation in lossy Lorentz media. In the paper, the reflected coefficients calculated by ADE-FDTD method and the exact theoretical result are better agreement.

Propagation of 2D Electromagnetic Wave in Lossy Lorentz Media Based on Auxiliary Differential Equation of Finite-Difference Time-Domain Method

2014 ◽  
Vol 568-570 ◽  
pp. 1749-1752
Author(s):  
Bing Kang Chen ◽  
Feng Guo
Keyword(s):  
Differential Equation ◽  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Fdtd Method ◽  
Time Domain Method ◽  
Domain Method ◽  
Difference Time

In order to study the reflection of electromagnetic wave in Lorentz media, A finite-difference time-domain method based on the auxiliary differential equation (ADE) technique is used to obtain the formulation of 2-D TM wave propagation in lossy Lorentz media. In 1-D case, the reflected coefficients calculated by ADE-FDTD method and exact theoretical result are excellent agreement. This expresses that the 2-D formulas of electromagnetic wave propagation in lossy Lorentz media are right. Furthermore, Plane wave reflected by Lorentz media layer is calculated and simulated. Results display that reflected effect is evident.

Numerical Simulation of Nanopulse Penetration of Biological Matters Using the ADI-FDTD Method

2012 ◽  
Author(s):  
Fei Zhu ◽  
Weizhong Dai
Keyword(s):  
Time Domain ◽  
Finite Difference Time Domain ◽  
Fdtd Method ◽  
Stable Solution ◽  
Biological Tissues ◽  
Computational Time ◽  
Time Step ◽  
Alternating Direction Implicit ◽  
Alternating Direction ◽  
Difference Time

Study of the nanopulse bioeffects is important to ensure the appropriate application with nanopulse in biomedical and biotechnological settings. In this article, we develop an alternating-direction implicit (ADI) finite-difference time-domain (FDTD) scheme coupled with the Cole-Cole expression for dielectric coefficients of biological tissues to simulate the electromagnetic fields inside the biological tissues when exposed to nanopulses. The scheme is then tested by numerical examples with two different biological tissues. Numerical results show that the proposed ADI-FDTD scheme breaks through the Courant, Friedrichs, and Lewy (CFL) stability condition and provides a stable solution with a larger time step, where the conventional FDTD scheme fails. Results also indicate that the computational time can be reduced when using a larger time step.

The CPML for Hybrid Implicit-Explicit FDTD Method Based on Auxiliary Differential Equation

2014 ◽  
Vol 989-994 ◽  
pp. 1869-1872 ◽  
Author(s):  
Yun Fei Mao ◽  
Pu Hua Huang ◽  
Li Guo Ma
Keyword(s):  
Differential Equation ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Fdtd Method ◽  
Three Dimensional ◽  
Complex Frequency ◽  
Numerical Examples ◽  
First Order ◽  
Contour Plots ◽  
Difference Time

In this paper, an implementation of the complex-frequency-shifted perfectly matched layer (CPML) is developed for three-dimensional hybrid implicit-explicit (HIE) finite-difference time-domain (FDTD) method based on auxiliary differential equation (ADE). Because of the use of the ADE technique, this method becomes more straightforward and easier to implement. The formulations for the HIE-FDTD CPML are proposed. Numerical examples are given to verify the validity of the presented method. Results show that, both HIE-CPML and FDTD-CPML have almost the same reflection error, while their reflection error is about 30 dB, which is less than HIE Mur’s first-order results. The contour plots indicate that the maximum relative reflection as low as-72 dB is achieved by selecting and .

scholarly journals From Time-Collocated to Leapfrog Fundamental Schemes for ADI and CDI FDTD Methods

Axioms ◽  
2022 ◽  
Vol 11 (1) ◽  
pp. 23
Author(s):  
Eng Leong Tan
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Fdtd Method ◽  
Unconditionally Stable ◽  
Alternating Direction Implicit ◽  
One Dimensional ◽  
Alternating Direction ◽  
Fdtd Methods ◽  
Difference Time

The leapfrog schemes have been developed for unconditionally stable alternating-direction implicit (ADI) finite-difference time-domain (FDTD) method, and recently the complying-divergence implicit (CDI) FDTD method. In this paper, the formulations from time-collocated to leapfrog fundamental schemes are presented for ADI and CDI FDTD methods. For the ADI FDTD method, the time-collocated fundamental schemes are implemented using implicit E-E and E-H update procedures, which comprise simple and concise right-hand sides (RHS) in their update equations. From the fundamental implicit E-H scheme, the leapfrog ADI FDTD method is formulated in conventional form, whose RHS are simplified into the leapfrog fundamental scheme with reduced operations and improved efficiency. For the CDI FDTD method, the time-collocated fundamental scheme is presented based on locally one-dimensional (LOD) FDTD method with complying divergence. The formulations from time-collocated to leapfrog schemes are provided, which result in the leapfrog fundamental scheme for CDI FDTD method. Based on their fundamental forms, further insights are given into the relations of leapfrog fundamental schemes for ADI and CDI FDTD methods. The time-collocated fundamental schemes require considerably fewer operations than all conventional ADI, LOD and leapfrog ADI FDTD methods, while the leapfrog fundamental schemes for ADI and CDI FDTD methods constitute the most efficient implicit FDTD schemes to date.

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