173 research outputs found
Form and width of spectral line of Josephson Flux-Flow oscillator
The behavior of a Josephson flux-flow oscillator in the presence of both bias
current and magnetic field fluctuations has been studied. To derive the
equation for slow phase dynamics in the limit of small noise intensity the
Poincare method has been used. Both the form of spectral line and the linewidth
of the flux-flow oscillator have been derived exactly on the basis of technique
presented in the book of Malakhov, known limiting cases are considered, limits
of their applicability are discussed and appearance of excess noise is
explained. Good coincidence of theoretical description with experimental
results has been demonstrated.Comment: 10 pages, 5 figure
Josephson Flux Flow Oscillator: the Microscopic Tunneling Approach
We elaborate a theoretical description of large Josephson junctions which is
based on the Werthamer's microscopic tunneling theory. The model naturally
incorporates coupling of electromagnetic radiation to the tunnel currents and,
therefore, is particularly suitable for description of the self-coupling effect
in Josephson junction. In our numerical calculations we treat the arising
integro-differential equation, which describes temporal evolution of the
superconducting phase difference coupled to the electromagnetic field, by the
Odintsov-Semenov-Zorin algorithm. This allows us to avoid evaluation of the
time integrals at each time step while taking into account all the memory
effects. To validate the obtained microscopic model of large Josephson junction
we focus our attention on the Josephson flux flow oscillator. The proposed
microscopic model of flux flow oscillator does not involve the phenomenological
damping parameter, rather, the damping is taken into account naturally in the
tunnel current amplitudes calculated at a given temperature. The theoretically
calculated current-voltage characteristics is compared to our experimental
results obtained for a set of fabricated flux flow oscillators of different
lengths. Our theoretical calculation agrees well with the obtained experimental
results, and, to our knowledge, is the first where theoretical description of
Josephson flux flow oscillator is brought beyond the perturbed sine-Gordon
equation.Comment: 13 pages, 2 figure
Phase locked 270-440 GHz local oscillator based on flux flow in long Josephson tunnel junctions
The combination of narrow linewidth and wide band tunability makes the Josephson flux flow oscillator (FFO) a perfect on-chip local oscillator for integrated sub-mm wave receivers for, e.g., spectral radio astronomy. The feasibility of phase locking the FFO to an external reference oscillator is demonstrated experimentally. A FFO linewidth as low as 1 Hz (determined by the resolution bandwidth of the spectrum analyzer) has been measured in the frequency range 270-440 GHz relative to a reference oscillator. This linewidth is far below the fundamental level given by shot and thermal noise of the free-running tunnel junction. The results of residual FFO phase noise measurements are also presented. Finally, we propose a single-chip fully superconductive receiver with two superconductor-insulator-superconductor mixers and an integrated phase-locked loop. (C) 2000 American Institute of Physics. [S0034-6748(00)01701-9]
A one-dimensional tunable magnetic metamaterial
We present experimental data on a one-dimensional superconducting
metamaterial that is tunable over a broad frequency band. The basic building
block of this magnetic thin-film medium is a single-junction (rf-)
superconducting quantum interference device (SQUID). Due to the nonlinear
inductance of such an element, its resonance frequency is tunable in situ by
applying a dc magnetic field. We demonstrate that this results in tunable
effective parameters of our metamaterial consisting of 54 SQUIDs. In order to
obtain the effective magnetic permeability from the measured data, we employ a
technique that uses only the complex transmission coefficient S21
A quantitative investigation of the effect of a close-fitting superconducting shield on the coil-factor of a solenoid
Superconducting shields are commonly used to suppress external magnetic
interference. We show, that an error of almost an order of magnitude can occur
in the coil-factor in realistic configurations of the solenoid and the shield.
The reason is that the coil-factor is determined by not only the geometry of
the solenoid, but also the nearby magnetic environment. This has important
consequences for many cryogenic experiments involving magnetic fields such as
the determination of the parameters of Josephson junctions, as well as other
superconducting devices. It is proposed to solve the problem by inserting a
thin sheet of high-permeability material, and the result numerically tested.Comment: 3 pages, 4 figures, submitted to AP
Long Josephson junctions with spatially inhomogeneous driving
The phase dynamics of a long Josephson junction with spatially
inhomogeneously distributed bias current is considered for the case of a dense
soliton chain (regime of the Flux Flow oscillator). To derive the analytical
solution of the corresponding sine-Gordon equation the Poincare method has been
used. In the range of the validity of the theory good coincidence between
analytically derived and numerically computed current-voltage characteristics
have been demonstrated for the simplest example of unitstep function
distribution of bias current (unbiased tail). It is shown, that for the
considered example of bias current distribution, there is an optimal length of
unbiased tail that maximizes the amplitude of the main harmonic and minimizes
the dynamical resistance (thus leading to reduction of a linewidth).Comment: 7 pages, 5 figure
Two-tone spectroscopy of a SQUID metamaterial in the nonlinear regime
Compact microwave resonantors made of superconducting rings containing
Josephson junctions (SQUIDs) are attractive candidates for building frequency
tunable metamaterials with low losses and pronounced nonlinear properties. We
explore the nonlinearity of a SQUID metamaterial by performing a two-tone
resonant spectroscopy. The small-amplitude response of the metamaterial under
strong driving by a microwave pump tone is investigated experimentally and
theoretically. The transmission coefficient of a weak probe signal is
measured in the presence of the pump tone. Increasing the power of the pump, we
observe pronounced oscillations of the SQUID's resonance frequency
. The shape of these oscillations varies significantly with
the frequency of the pump tone . The response to the probe
signal displays instabilities and sidebands. A state with strong second
harmonic generation is observed. We provide a theoretical analysis of these
observations, which is in good agreement with the experimental results
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