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{ This paper describes a numerical method which calculates the characteristic parameters of coupled transmission lines. Under the quasi-TEM assumption, the eld-describing diierential equation is transformed into an integral equation. This one is numerically solved with the Boundary Element Method (BEM). The advantage of the integral equation method is that… (More)

- Scott Dumas, James A. Ellison, Mathias Vogt
- 2003

For slowly evolving, discrete-time-dependent systems of difference equations (iterated maps), we believe the simplest means of demonstrating the validity of the averaging method at first order is by way of a lemma that we call Besjes' inequality. In this paper, we develop the Besjes inequality for identity maps with perturbations that are (i) at low-order… (More)

We present a mathematical analysis of planar motion of energetic electrons moving through a planar dipole undulator, excited by a fixed planar polarized plane wave Maxwell field in the X-Ray FEL regime. Our starting point is the 6D Lorentz system, which allows planar motions , and we examine this dynamical system as the wave length λ of the traveling wave… (More)

We present a mathematical analysis of planar motion of energetic electrons moving through a planar dipole undulator, excited by a fixed planar polarized plane wave Maxwell field in the x-ray free electron laser (FEL) regime. Our starting point is the 6D Lorentz system, which allows planar motions, and we examine this dynamical system as the wavelength of… (More)

A fast method, working in the frequency domain, has been developed for the simulation of the wave propagation on coupled microstrip lines. Precondition is the validity of the transmission line theory, that means a transversal electromagnetic wave{propagation on the transmission line systems is assumed. Then, the dynamic behaviour of lossless transmission… (More)

- J A Ellison, A V Sobol, M Vogt
- 2006

The Collective Beam-Beam interaction is studied in the framework of maps with a " kick-lattice " model in the 4-D phase space of the transverse motion. A novel approach to the classical method of averaging is used to derive an approximate map which is equivalent to a flow within the averaging approximation. The flow equation is a continuous-time Vlasov… (More)

A veriication of calculated electrical parameters of transmission lines on printed circuit boards is presented. Furthermore, the innuence of common manufacturing processes on the principle cross section of transmission lines and the resulting electrical parameters is subject of the investigations. With regard to existing manufacturing tolerances a… (More)

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