Large-signal analysis of a silicon Read diode oscillator

Scharfetter, D.L.; Gummel, H.K.

doi:10.1109/t-ed.1969.16566

Cited by 2,040 publications

(829 citation statements)

References 11 publications

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“…More detailed descriptions of the simulation model can be found elsewhere [16]. The above set of equations is solved numerically with explicit S-G scheme [17].…”

Section: Modelmentioning

confidence: 99%

Numerical Investigation on Atmospheric-Pressure Dielectric Barrier Discharges Driven by Combined rf and Short-Pulse Sources in Co-Axial Electrodes

Wang

Sun²,

Nozaki³

et al. 2014

Proceedings of the 12th Asia Pacific Physics Conference (APPC12)

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Atmospheric-pressure discharges driven by combined rf and short-pulse sources in co-axial electrodes were investigated in this work using a one-dimensional self-consistent fluid model. It demonstrated that the plasma intensity in the rf discharge could be enhanced drastically when an additional low-duty-ratio pulse source was applied to the discharge. The study investigated how the plasma density varied with the voltage amplitude of the pulse source. Results showed that the discharge mode turned into glow mode as the pulse amplitude exceeded a critical value. Two cases were investigated on the premise that the outer electrode was electrically grounded: in the first case the positive pulse was applied to the inner electrode while in the second case the negative pulse was used instead, and the spatial discharge characteristics were compared.

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“…More detailed descriptions of the simulation model can be found elsewhere [16]. The above set of equations is solved numerically with explicit S-G scheme [17].…”

Section: Modelmentioning

confidence: 99%

Numerical Investigation on Atmospheric-Pressure Dielectric Barrier Discharges Driven by Combined rf and Short-Pulse Sources in Co-Axial Electrodes

Wang

Sun²,

Nozaki³

et al. 2014

Proceedings of the 12th Asia Pacific Physics Conference (APPC12)

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“…To construct the trial space U (2) h , we follow the discussion in [14] based on the idea of exponential fitting proposed independently in [1] and [20]. For each e i,j ∈ E (2) h connecting the two neighbouring nodes x i and x j , we define an exponential function…”

Section: T (2)mentioning

confidence: 99%

A nonconforming combination of the finite element and volume methods with an anisotropic mesh refinement for a singularly perturbed convection-diffusion equation

Wang

2003

Math. Comp.

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Abstract. In this paper we formulate and analyze a discretization method for a 2D linear singularly perturbed convection-diffusion problem with a singular perturbation parameter ε. The method is based on a nonconforming combination of the conventional Galerkin piecewise linear triangular finite element method and an exponentially fitted finite volume method, and on a mixture of triangular and rectangular elements. It is shown that the method is stable with respect to a semi-discrete energy norm and the approximation error in the semi-discrete energy norm is bounded by Ch ln ε ln h with C independent of the mesh parameter h, the diffusion coefficient ε and the exact solution of the problem.

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“…In the discretization of the one-dimensional zero generation recombination driftdiffusion equations, the Scharfetter-Gummel technique [9] reproduces exactly the constant current. Let u denote the electrostatic potential 4 in units of the thermal potential UT E ( k~T ) / q , where kB is Boltzmann's constant, T is the ambient temperature, and q is the size of the electron charge.…”

Section: The Scharfetter-gummel Discretizationmentioning

confidence: 99%

On the Scharfetter-Gummel Box-Method

Kerkhoven

1993

Simulation of Semiconductor Devices and Processes

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For a linear potential function one-dimensional constant current drift-diffusion equations can be integrated in closed form, yielding the Scharfetter-Gummel (SG) discretization. The box-method generalizes the insistence on exact current conservation to higher dimensions by imposing the exact balancing of Scharfet ter-G ummel fluxes through box-faces.It has long been recognized that the one-dimensional SG discretization defines a finite element method that yields the exact solution by employing closed form solutions as an approximant. Finite element analyses of the box-method tend to employ piecewise linear approximating functions and fail to incorporate the exact integration properties of the SG discretization.Nevertheless, the current conservation validates for the SG box-method an analytical coupling limitation for the differential drift-diffusion equations.

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Large-signal analysis of a silicon Read diode oscillator

Cited by 2,040 publications

References 11 publications

Numerical Investigation on Atmospheric-Pressure Dielectric Barrier Discharges Driven by Combined rf and Short-Pulse Sources in Co-Axial Electrodes

Numerical Investigation on Atmospheric-Pressure Dielectric Barrier Discharges Driven by Combined rf and Short-Pulse Sources in Co-Axial Electrodes

A nonconforming combination of the finite element and volume methods with an anisotropic mesh refinement for a singularly perturbed convection-diffusion equation

On the Scharfetter-Gummel Box-Method

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