Solution of Maxwell's equations in three space dimensions and time by the t.l.m. method of numerical analysis

Akhtarzad, S.; Johns, P.B.

doi:10.1049/piee.1975.0328

Cited by 105 publications

(32 citation statements)

References 1 publication

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“…With a maximum value of the stability factor: s = l / f i , above velocities of (9) and (10) are illustrated in Figure 2. As s is reduced from the maximum value 1 1 s to 0, all the velocities experience further dispersion and result in smaller v y and vp.…”

Section: Formulationmentioning

confidence: 99%

A comparison of the dispersion characteristics associated with the TLM and FD‐TD methods

Choi

1989

Int J Numerical Modelling

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SUMMARYThis paper presents the dispersion characteristics of the FD-TD algorithm by showing the numerical phase and group velocities of the TEM, T E or TM modal solutions. For the TEM wave propagation, there exist three fundamental directions to which phase and group velocities can be expressed by only a single variable (wave number k or frequency 0 ) . Those special directions were chosen to show the dispersive nature of the FD-TD algorithm of which the group and phase velocities depend explicitly on frequencies.In view of similarities between the TLM and FD-TD algorithms, a comparison of phase velocity characteristics of both methods was made. Under the special condition where the stability factor s is larger than 1/2, the FD-TD algorithm is found less dispersive than that of the original TLM. However, newly developed symmetrical TLM method appears less dispersive than the FD-TD algorithm.In the numerical simulation of waveguide modal solutions, it was found that there exists an optimum frequency which provide least numerical error in the FD-TD application. A procedure, which determines the stability factor s and the maximum allowed frequency F,,, for the best numerical results, is proposed in this paper.

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Section: Formulationmentioning

confidence: 99%

A comparison of the dispersion characteristics associated with the TLM and FD‐TD methods

Choi

1989

Int J Numerical Modelling

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“…Electromagnetic field analysis methods in the time domain include the finite-difference time-domain (FDTD) method [1], the transmission line matrix (TLM) method [2], and the spatial network method (SNM) [3]. The importance of these methods is steadily increasing in the development and design of circuits for handling high-frequency and high-speed signals.…”

Section: Introductionmentioning

confidence: 99%

Broadband lossy conductor wall processing using lumped constant circuit on FDTD method

Takata

Iida

2004

Electron Comm Jpn Pt II

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“…In recent years the transmission line method (TLM) has been applied to a wide range of applications related to electromagnetic wave propagation, and mass and heat diffusion applications [19][20][21][22]. The TLM method is explicit, one step, and unconditionally stable.…”

Section: Introductionmentioning

confidence: 99%

TLM simulation of microwave hybrid sintering of multiple samples in a multimode cavity

Amri

Saïdane

2003

Int J Numerical Modelling

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SUMMARYMicrowave heating technology is a powerful mean to ensure successful sintering of ceramic materials. In sintering experiments, low loss insulators, conductors and high-loss ceramics are microwaved so as to get optimal mechanical and structural properties. It is known that low-loss ceramic materials such alumina and zirconia exhibit long waiting time before reaching a critical coupling temperature at which microwaves can be readily absorbed. On the other hand, some ceramics such as silicon carbid have a high loss factor and therefore can be used as a process stimulus for microwave sintering of microwave transparent ceramics. Furthermore, successful sintering experiments often require the use of carefully designed insulating structure in order to minimize thermal gradients caused by heat loss from surfaces. All these problems have led to the introduction of microwave hybrid heating (MHH) schemes using higher dielectric loss susceptors, insulation or coating. Since MHH depend mainly on human expertise, the optimization of sintering experiments will certainly benefit from numerical simulations. The transmission line matrix (TLM) is used to study two MHH schemes where both a susceptor and an insulating matrix were, respectively, used as process stimulus for microwave heating of multiple alumina samples within a threedimensional multimode cavity. The effects of such MHH schemes and target settings on electric field distribution and power absorption rates are reported in this paper.

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Solution of Maxwell's equations in three space dimensions and time by the t.l.m. method of numerical analysis

Cited by 105 publications

References 1 publication

A comparison of the dispersion characteristics associated with the TLM and FD‐TD methods

A comparison of the dispersion characteristics associated with the TLM and FD‐TD methods

Broadband lossy conductor wall processing using lumped constant circuit on FDTD method

TLM simulation of microwave hybrid sintering of multiple samples in a multimode cavity

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