519 research outputs found
Classical Phase Space Revealed by Coherent Light
We study the far field characteristics of oval-resonator laser diodes made of
an AlGaAs/GaAs quantum well. The resonator shapes are various oval geometries,
thereby probing chaotic and mixed classical dynamics. The far field pattern
shows a pronounced fine structure that strongly depends on the cavity shape.
Comparing the experimental data with ray-model simulations for a Fresnel
billiard yields convincing agreement for all geometries and reveals the
importance of the underlying classical phase space for the lasing
characteristics.Comment: 4 pages, 5 figures (reduced quality), accepted for publication in
Physical Review Letter
Light emission patterns from stadium-shaped semiconductor microcavity lasers
We study light emission patterns from stadium-shaped semiconductor (GaAs)
microcavity lasers theoretically and experimentally. Performing systematic wave
calculations for passive cavity modes, we demonstrate that the averaging by
low-loss modes, such as those realized in multi-mode lasing, generates an
emission pattern in good agreement with the ray model's prediction. In
addition, we show that the dependence of experimental far-field emission
patterns on the aspect ratio of the stadium cavity is well reproduced by the
ray model.Comment: 5 pages, 4 figure
Wave Chaos in Rotating Optical Cavities
It is shown that, even when the eigenmodes of an optical cavity are
wave-chaotic, the frequency splitting due to the rotation of the cavity occurs
and the frequency difference is proportional to the angular velocity although
the splitting eigenmodes are still wave-chaotic and do not correspond to any
unidirectionally-rotating waves.Comment: 4 pages, 6 figure
Understanding deterministic diffusion by correlated random walks
Low-dimensional periodic arrays of scatterers with a moving point particle
are ideal models for studying deterministic diffusion. For such systems the
diffusion coefficient is typically an irregular function under variation of a
control parameter. Here we propose a systematic scheme of how to approximate
deterministic diffusion coefficients of this kind in terms of correlated random
walks. We apply this approach to two simple examples which are a
one-dimensional map on the line and the periodic Lorentz gas. Starting from
suitable Green-Kubo formulas we evaluate hierarchies of approximations for
their parameter-dependent diffusion coefficients. These approximations converge
exactly yielding a straightforward interpretation of the structure of these
irregular diffusion coeficients in terms of dynamical correlations.Comment: 13 pages (revtex) with 5 figures (postscript
Chaos-assisted emission from asymmetric resonant cavity microlasers
We study emission from quasi-one-dimensional modes of an asymmetric resonant
cavity that are associated with a stable periodic ray orbit confined inside the
cavity by total internal reflection. It is numerically demonstrated that such
modes exhibit directional emission, which is explained by chaos-assisted
emission induced by dynamical tunneling. Fabricating semiconductor microlasers
with the asymmetric resonant cavity, we experimentally demonstrate the
selective excitation of the quasi-one-dimensional modes by employing the device
structure to preferentially inject currents to these modes and observe
directional emission in good accordance with the theoretical prediction based
on chaos-assisted emission.Comment: 9 pages, 10 figures, some figures are in reduced qualit
Preparation of amino-substituted indenes and 1,4-dihydronaphthalenes using a one-pot multireaction approach: total synthesis of oxybenzo[c]phenanthridine alkaloids
Allylic trichloroacetimidates bearing a 2-vinyl or 2-allylaryl group have been designed as substrates for a one-pot, two-step multi-bond-forming process leading to the general preparation of aminoindenes and amino-substituted 1,4-dihydronaphthalenes. The synthetic utility of the privileged structures formed from this one-pot process was demonstrated with the total synthesis of four oxybenzo[c]phenanthridine alkaloids, oxychelerythrine, oxysanguinarine, oxynitidine, and oxyavicine. An intramolecular biaryl Heck coupling reaction, catalyzed using the Hermann–Beller palladacycle was used to effect the key step during the synthesis of the natural products
Development of Thick-foil and Fine-pitch GEMs with a Laser Etching Technique
We have produced thick-foil and fine-pitch gas electron multipliers (GEMs)
using a laser etching technique. To improve production yield we have employed a
new material, Liquid Crystal Polymer, instead of polyimide as an insulator
layer. The effective gain of the thick-foil GEM with a hole pitch of 140 um, a
hole diameter of 70 um, and a thickness of 100 um reached a value of 10^4 at an
applied voltage of 720 V. The measured effective gain of the thick-foil and
fine-pitch GEM (80 um pitch, 40 um diameter, and 100 um thick) was similar to
that of the thick-foil GEM. The gain stability was measured for the thick-foil
and fine-pitch GEM, showing no significant increase or decrease as a function
of elapsed time from applying the high voltage. The gain stability over 3 h of
operation was about 0.5%. Gain mapping across the GEM showed a good uniformity
with a standard deviation of about 4%. The distribution of hole diameters
across the GEM was homogeneous with a standard deviation of about 3%. There was
no clear correlation between the gain and hole diameter maps.Comment: 21 pages, 9 figure
On the Accuracy of the Semiclassical Trace Formula
The semiclassical trace formula provides the basic construction from which
one derives the semiclassical approximation for the spectrum of quantum systems
which are chaotic in the classical limit. When the dimensionality of the system
increases, the mean level spacing decreases as , while the
semiclassical approximation is commonly believed to provide an accuracy of
order , independently of d. If this were true, the semiclassical trace
formula would be limited to systems in d <= 2 only. In the present work we set
about to define proper measures of the semiclassical spectral accuracy, and to
propose theoretical and numerical evidence to the effect that the semiclassical
accuracy, measured in units of the mean level spacing, depends only weakly (if
at all) on the dimensionality. Detailed and thorough numerical tests were
performed for the Sinai billiard in 2 and 3 dimensions, substantiating the
theoretical arguments.Comment: LaTeX, 31 pages, 14 figures, final version (minor changes
On the duality between periodic orbit statistics and quantum level statistics
We discuss consequences of a recent observation that the sequence of periodic
orbits in a chaotic billiard behaves like a poissonian stochastic process on
small scales. This enables the semiclassical form factor to
agree with predictions of random matrix theories for other than infinitesimal
in the semiclassical limit.Comment: 8 pages LaTe
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