The Use of the FDTD Method for Electromagnetic Analysis in the Presence of Indepedently Time-Varying Media

Liu, Xiaowen; McNamara, D.A.

doi:10.1007/s10762-007-9251-7

Cited by 10 publications

(3 citation statements)

References 32 publications

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“…One way to determine the influence of timevarying material parameters is to use the finitedifference time-domain (FDTD) method, which is a common and versatile approach to acoustic simulation [19] and a starting point for the analysis of time-varying phononic crystals [20]. In this work, the influence of dynamic material coefficients on the propagation and transmission of a mechanical wave inside the aperiodic quasi-onedimensional Severin structure is analized.…”

Section: Introductionmentioning

confidence: 99%

Transmission of a Phononic Superlattice Made of Dynamic Materials

Garus,

Sochacki,

Garus

et al. 2023

Acta Phys. Pol. A

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In one-dimensional phononic crystals, as a result of multiple destructive interferences of a mechanical wave, the phononic band gap phenomenon occurs, i.e., the lack of propagation of a wave of a given frequency through the structure due to internal reflections at the layer boundary and destructive interference. In dynamic phononic crystals, the incident monochromatic mechanical wave at the boundary of the media does not propagate according to Fresnel's relations, but is transformed into a wave spectrum, which affects the phononic properties of the examined structures and allows them to be dynamically controlled. The paper analyzes the transmission and influence of the frequency of changes in the properties of the elements of the finite phononic structure described by sinusoidal functions on the propagation of mechanical waves. topics: bandgap, finite-difference time-domain (FDTD), discrete Fourier transform (DFT), superlattice

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Section: Introductionmentioning

confidence: 99%

Transmission of a Phononic Superlattice Made of Dynamic Materials

Garus,

Sochacki,

Garus

et al. 2023

Acta Phys. Pol. A

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“…More recently, researchers constructed a spherical particle whose permittivity could be manipulated in time and made a theoretical description of electromagnetic scattering using this model [14]. Furthermore, some other numerical methods have been discussed for the modeling of the time-varying medium, such as the finite difference time-domain method [15][16][17] and the time-domain method of moments. Moreover, a conversion matrix method of moment for time-varying electromagnetic analysis has been introduced [18].…”

Section: Introductionmentioning

confidence: 99%

Numerical Modelling of Dynamic Electromagnetic Problems Based on the Time-Domain Finite Integration Technique

Lou

Hou

et al. 2022

Electronics

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Developing numerical methods to solve dynamic electromagnetic problems has broad application prospects. In computational electromagnetics, traditional numerical methods are commonly used to deal with static electromagnetic problems. However, they can hardly be applied in the modeling of time-varying materials and moving objects. So far, the studies on numerical methods that can efficiently solve dynamic electromagnetic problems are still very limited. In this paper, a numerical method called the time-domain finite integration technique (TDFIT) is extended to tackle this problem via the introduction of time-varying iterative coefficients. In order to validate the effectiveness of the proposed algorithm, three numerical examples are demonstrated, including two microstrip structures with a time-varying medium and a rapidly rotating structure. The numerical results reveal that the time-varying medium can induce a nonlinear spectrum shift, and the radar cross section (RCS) of a rapidly rotating structure is highly dependent on the rotating speed. The proposed algorithm opens a new avenue for the exploration of many intriguing phenomena in fundamental physics, including frequency conversion and magnetless nonreciprocity. Meanwhile, it can also lead to a wide range of promising practical applications, such as active electron devices, space-time metamaterials, and hypersonic vehicles.

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“…It uses discretized versions of the governing acoustic equations to simulate wave propagation in discrete time and space. Furthermore, it requires no modifications to handle time-varying material parameters, which makes the FDTD method a useful tool in the investigation of timevarying phononic crystals [32]. However, unlike an analytical method it gives no analytical insight into the simulation results.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional phononic crystals with time-varying properties: a multiple scattering analysis

Wright

Cobbold

2010

Smart Mater. Struct.

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Multiple scattering theory is a versatile two-and three-dimensional method for characterizing the acoustic wave transmission through many scatterers. It provides analytical solutions to wave propagation in scattering structures, and its computational complexity grows logarithmically with the number of scatterers. In this paper we show how the 2D method can be adapted to include the effects of time-varying material parameters. Specifically, a new T -matrix is defined to include the effects of frequency modulation that occurs in time-varying phononic crystals. Solutions were verified against finite difference time domain (FDTD) simulations and showed excellent agreement. This new method enables fast characterization of time-varying phononic crystals without the need to resort to lengthy FDTD simulations. Also, the method of combining T -matrices to form the T -supermatrix remains unchanged provided that the new matrix definitions are used. The method is quite compatible with existing implementations of multiple scattering theory and could be readily extended to three-dimensional multiple scattering theory.

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The Use of the FDTD Method for Electromagnetic Analysis in the Presence of Indepedently Time-Varying Media

Abstract: The suitability of the finite-difference time-domain (FDTD) method for electromagnetic modelling in the presence of independently-time-varying materials is investigated. Two examples are given and results compared to those obtained using other theoretical approaches.

Cited by 10 publications

References 32 publications

Transmission of a Phononic Superlattice Made of Dynamic Materials

Transmission of a Phononic Superlattice Made of Dynamic Materials

Numerical Modelling of Dynamic Electromagnetic Problems Based on the Time-Domain Finite Integration Technique

Two-dimensional phononic crystals with time-varying properties: a multiple scattering analysis

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