# Graduate School in Nonlinear Science

### Sponsored by the Danish Research Academy

**
MIDIT OFD CATS
Modelling, Nonlinear Dynamics Optics and Fluid Dynamics Chaos and Turbulence Studies
and Irreversible Thermodynamics Risø National Laboratory Niels Bohr Institute and
Technical University of Denmark Building 128 Department of Chemistry
Building 321 P.O. Box 49 University of Copenhagen
DK-2800 Lyngby DK-4000 Roskilde DK-2100 Copenhagen Ø
Denmark Denmark Denmark
**

**THEORETICAL INVESTIGATION OF RADIATION PROPERTIES OF NON-RESONANT**

LONG JOSEPHSON JUNCTION.
by **Alexey V. Yulin**

Institute for Physics of Microstructures of RAS,

Nizhny Novgorod

Russia

MIDIT-seminar 479

**Friday April 28, 2000, 13.00 h**

at MIDIT, IMM, Bldg. 305, Room 018, DTU,

**Abstract**:
The resistive state of a non-resonant long Josephson junction is
considered in the framework of the resistive-shunted model. We use an
anzatz where the Josephson phase distribution is a quasi-linear function
of space and time corresponding to a long junction in a relatively
strong magnetic field. The self-consistent equations for both the
low-frequency phase and for the high frequency radiated field are
obtained. An explicit analytical solution for the small correction is
found in the low-damping limit. It gives us the possibility to calculate
the power delivered to a load and to find the current-voltage
characteristic. It is demonstrated that there are steps on the I-V curve
even in the absence of Fiske resonances. The equation for slow phase is
analysed in the presence of thermal noise. Using the analytical
expression for the electromagnetic field, the radiation spectrum of a
non-resonance long Josephson junction is found in the limit of weak
noise.