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In this study we derive a semi-linear Elliptic Partial Differential Equation (PDE) problem that models the static (zero voltage) behavior of a Josephson window jUllction. Iterative methods for solving this problem are proposed, analyzed and their convergence analysis is presented. The preliminary computational results that are given, show the modeling power… (More)

- J G Caputo, L Loukitch
- 2008

We model the dynamics of point Josephson junctions in a 1D mi-crostrip line using a wave equation with delta distributed sine nonlinear-ities. The model is suitable for both low Tc and high Tc systems (0 and π junctions). For a single junction in the line, we found two limiting behaviors: the ohmic mode where the junction acts as a pure resistor which stops… (More)

- J. G. Caputo, N. Flytzanis, A. Tersenov, E. A. Vavalis
- SIAM J. Math. Analysis
- 2003

- J G Caputo, L Loukitch
- 2008

We model the static behavior of point Josephson junctions in a micro strip line using a 1D linear differential equation with delta distributed sine non-linearities. We analyze the maximum current γmax crossing the micro strip for a given magnetic field H. In particular we establish its periodicity and analyze how it is affected by the geometry, length, type… (More)

- J.-G Caputo, E Kazantseva, A Maimistov
- 2009

We consider the propagation of extremely short pulses through a di-electric thin film containing resonant atoms (two level atoms) with permanent dipole. Assuming that the film width is less than the field wave length, we can solve the wave equation and reduce the problem to a system of generalized Bloch equations describing the resonant atoms. We compute… (More)

- J. G. Caputo, L. Loukitch
- SIAM Journal of Applied Mathematics
- 2007

- J.-G Caputo, E V Kazantseva, L Loukitch, A I Maimistov
- 2008

We consider the modes of the electric field of a cavity where there is an embedded polarized dielectric film. The model consists in the Maxwell equations coupled to a Duffing oscillator for the film which we assume infinitely thin. We derive the normal modes of the system and show that they are orthogonal with a special scalar product which we introduce.… (More)

- J G Caputo, L Loukitch
- 2008

We consider the inverse problem of designing an array of superconducting Josephson junctions that has a given maximum static current pattern as function of the applied magnetic field. Such devices are used for magnetometry and as Terahertz oscillators. The model is a 2D semilinear elliptic operator with Neuman boundary conditions so the direct problem is… (More)

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