6,431 research outputs found
Current and vorticity auto correlation functions in open microwave billiards
Using the equivalence between the quantum-mechanical probability density in a
quantum billiard and the Poynting vector in the corresponding microwave system,
current distributions were studied in a quantum dot like cavity, as well as in
a Robnik billiard with lambda=0.4, and an introduced ferrite cylinder. Spatial
auto correlation functions for currents and vorticity were studied and compared
with predictions from the random-superposition-of-plane-waves hypothesis. In
addition different types of vortex neighbour spacing distributions were
determined and compared with theory.Comment: PTP-LaTeX, 10 pages with 6 figures submitted to Progress of
Theoretical Physics Supplemen
Correlations of electromagnetic fields in chaotic cavities
We consider the fluctuations of electromagnetic fields in chaotic microwave
cavities. We calculate the transversal and longitudinal correlation function
based on a random wave assumption and compare the predictions with measurements
on two- and three-dimensional microwave cavities.Comment: Europhys style, 8 pages, 3 figures (included
Experimental Observation of a Fundamental Length Scale of Waves in Random Media
Waves propagating through a weakly scattering random medium show a pronounced
branching of the flow accompanied by the formation of freak waves, i.e.,
extremely intense waves. Theory predicts that this strong fluctuation regime is
accompanied by its own fundamental length scale of transport in random media,
parametrically different from the mean free path or the localization length. We
show numerically how the scintillation index can be used to assess the scaling
behavior of the branching length. We report the experimental observation of
this scaling using microwave transport experiments in quasi-two-dimensional
resonators with randomly distributed weak scatterers. Remarkably, the scaling
range extends much further than expected from random caustics statistics.Comment: 5 pages, 5 figure
Algebraic fidelity decay for local perturbations
From a reflection measurement in a rectangular microwave billiard with
randomly distributed scatterers the scattering and the ordinary fidelity was
studied. The position of one of the scatterers is the perturbation parameter.
Such perturbations can be considered as {\em local} since wave functions are
influenced only locally, in contrast to, e. g., the situation where the
fidelity decay is caused by the shift of one billiard wall. Using the
random-plane-wave conjecture, an analytic expression for the fidelity decay due
to the shift of one scatterer has been obtained, yielding an algebraic
decay for long times. A perfect agreement between experiment and theory has
been found, including a predicted scaling behavior concerning the dependence of
the fidelity decay on the shift distance. The only free parameter has been
determined independently from the variance of the level velocities.Comment: 4 pages, 5 figure
Experimental observation of the mobility edge in a waveguide with correlated disorder
The tight-binding model with correlated disorder introduced by Izrailev and
Krokhin [PRL 82, 4062 (1999)] has been extended to the Kronig-Penney model. The
results of the calculations have been compared with microwave transmission
spectra through a single-mode waveguide with inserted correlated scatterers.
All predicted bands and mobility edges have been found in the experiment, thus
demonstrating that any wanted combination of transparent and non-transparent
frequency intervals can be realized experimentally by introducing appropriate
correlations between scatterers.Comment: RevTex, 4 pages including 4 Postscript figure
Spectral properties of microwave graphs with local absorption
The influence of absorption on the spectra of microwave graphs has been
studied experimentally. The microwave networks were made up of coaxial cables
and T junctions. First, absorption was introduced by attaching a 50 Ohm load to
an additional vertex for graphs with and without time-reversal symmetry. The
resulting level-spacing distributions were compared with a generalization of
the Wigner surmise in the presence of open channels proposed recently by Poli
et al. [Phys. Rev. Lett. 108, 174101 (2012)]. Good agreement was found using an
effective coupling parameter. Second, absorption was introduced along one
individual bond via a variable microwave attenuator, and the influence of
absorption on the length spectrum was studied. The peak heights in the length
spectra corresponding to orbits avoiding the absorber were found to be
independent of the attenuation, whereas, the heights of the peaks belonging to
orbits passing the absorber once or twice showed the expected decrease with
increasing attenuation.Comment: 7 pages, 7 figure
Microwave fidelity studies by varying antenna coupling
The fidelity decay in a microwave billiard is considered, where the coupling
to an attached antenna is varied. The resulting quantity, coupling fidelity, is
experimentally studied for three different terminators of the varied antenna: a
hard wall reflection, an open wall reflection, and a 50 Ohm load, corresponding
to a totally open channel. The model description in terms of an effective
Hamiltonian with a complex coupling constant is given. Quantitative agreement
is found with the theory obtained from a modified VWZ approach [Verbaarschot et
al, Phys. Rep. 129, 367 (1985)].Comment: 9 pages 5 figur
Nodal domains in open microwave systems
Nodal domains are studied both for real and imaginary part
of the wavefunctions of an open microwave cavity and found to show the same
behavior as wavefunctions in closed billiards. In addition we investigate the
variation of the number of nodal domains and the signed area correlation by
changing the global phase according to
. This variation can be
qualitatively, and the correlation quantitatively explained in terms of the
phase rigidity characterising the openness of the billiard.Comment: 7 pages, 10 figures, submitted to PR
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