Application of the recursive convolution technique to modeling lumped circuit elements in FDTD simulations

Schuster, J.; Luebbers, R.; Livernois, T.G.

doi:10.1109/aps.1998.701549

Cited by 7 publications

(5 citation statements)

References 2 publications

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“…For simple series or parallel RLC circuits, the recursive convolution technique has been used to handle frequency-dependent impedances [39], [40]. Through the Z-transform the frequency-dependent impedances of the lumped circuit could be transformed into the time domain and incorporated into the FDTD updating equations directly.…”

Section: B Application Of the Z-transform Technique To Linear Lumpedmentioning

confidence: 99%

“…The circuits responses in the discrete time-domain from the Z-domain are transformed analytically since the orders of these simple circuits are very small. Based on the recursive convolution technique [39], the FDTD updating equations could be derived from the Z-transform immediately without processing convolution integrals in the time-domain. For these kinds of circuits, the numerical computation is very efficient [20].…”

Section: B Application Of the Z-transform Technique To Linear Lumpedmentioning

confidence: 99%

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An Efficient Scheme for Processing Arbitrary Lumped Multiport Devices in the Finite-Difference Time-Domain Method

Wang

Kuo

2007

IEEE Trans. Microwave Theory Techn.

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Developing full-wave simulators for high-frequency circuit simulation is a topic many researchers have investigated. Generally speaking, methods invoking analytic pre-processing of the device's V-I relations (admittance or impedance) are computationally more efficient than methods employing numerical procedure to iteratively process the device at each time step. For circuits providing complex functionality, two-port or possibly multi-port devices whether passive or active, are sure to appear in the circuits. Therefore, extensions to currently available full-wave methods for handling one-port devices to process multi-port devices would be useful for hybrid microwave circuit designs. In this dissertation, an efficient scheme for processing arbitrary multi-port devices in the finite-difference time-domain (FDTD) method is proposed. The device's admittance is analytically pre-processed and fitted into one grid cell. With an improved time-stepping expression, the computation efficiency is further increased.Multi-port devices in the circuit can be systematically incorporated and analyzed in a full-wave manner. The accuracy of the proposed method is verified by comparison with results from the equivalent current-source method and is numerically stable.iii

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Section: B Application Of the Z-transform Technique To Linear Lumpedmentioning

confidence: 99%

Section: B Application Of the Z-transform Technique To Linear Lumpedmentioning

confidence: 99%

An Efficient Scheme for Processing Arbitrary Lumped Multiport Devices in the Finite-Difference Time-Domain Method

Wang

Kuo

2007

IEEE Trans. Microwave Theory Techn.

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“…The form shown in (1) and (2) encompasses the update equations for many type of elements, such as lumped components [2]- [6] and dispersive dielectric [16]. Let the 3-D FDTD model consist of , , and cells along the , , and axes.…”

Section: Stability Concept Based On Numerical Energy Considerationmentioning

confidence: 99%

“…A CLASSICAL finite-difference time-domain (FDTD) method using Yee's second-order formulation [1] has been successfully employed to model a wide range of microwave circuits and high-frequency printed circuit board (PCB) assembly [2]- [6]. Aside from accuracy and computational complexity, an important consideration in FDTD formulation is the stability of the solution.…”

Section: Introductionmentioning

confidence: 99%

A study on the stability of bipolar-junction-transistor formulation in finite-difference time-domain framework

Kung

Chuah

2005

IEEE Trans. Microwave Theory Techn.

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Recently, a new stability result has been put forward for three-dimensional finite-difference time-domain (FDTD) framework by deriving a discrete energy relation similar to the Poynting Theorem in electromagnetism. In this paper, the result is used to show how stability analysis of an FDTD model containing three-terminal nonlinear components can be performed. Here the bipolar junction transistor (BJT) is used to illustrate the idea. It is shown that instability can be due to the BJT contributing numerical energy to the system during simulation, thus causing theand -field components to blow up. This paper also shows how we can prevent instability by identifying the operating region of the device where it is contributing numerical energy. By preventing the device from contributing numerical energy to the system, dynamical stability can be maintained. Formulation, which can source and sink numerical energy, is called conditionally proper. The BJT formulation in FDTD is such an example.

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“…However, circuit simulation has limitations, which cannot simulate complicate shape model. In this paper, we proposed lumped element finite difference time domain (LE-FDTD) technique using piecewise linear recursive convolution (PLRC) technique [4][5]. The proposed method can efficiently account for two-terminal networks made of several lumped elements.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of CRLH Transmission Line using Lumped Element FDTD Method

Lee

Lee²,

Hwang³

et al. 2006

2006 IEEE Antennas and Propagation Society International Symposium

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Application of the recursive convolution technique to modeling lumped circuit elements in FDTD simulations

Cited by 7 publications

References 2 publications

An Efficient Scheme for Processing Arbitrary Lumped Multiport Devices in the Finite-Difference Time-Domain Method

An Efficient Scheme for Processing Arbitrary Lumped Multiport Devices in the Finite-Difference Time-Domain Method

A study on the stability of bipolar-junction-transistor formulation in finite-difference time-domain framework

Numerical Analysis of CRLH Transmission Line using Lumped Element FDTD Method

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