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We present a detailed experimental study of the symmetry properties and the momentum space representation of the field distributions of a dielectric square resonator as well as the comparison with a semiclassical model. The experiments have…

Optics · Physics 2014-11-13 S. Bittner , E. Bogomolny , B. Dietz , M. Miski-Oglu , A. Richter

In this work we study the eigenstates and the energy spectra of a generic billiard system with the use of microwave resonators. This is possible due to the exact correspondence between the Schroedinger equation and the electric field…

Chaotic Dynamics · Physics 2009-10-31 Gregor Veble , Ulrich Kuhl , Marko Robnik , Hans-Juergen Stoeckmann , Junxian Liu , Michael Barth

A statistical analysis of the eigenfrequencies of two sets of superconducting microwave billiards, one with mushroom-like shape and the other from the familiy of the Limacon billiards, is presented. These billiards have mixed…

Statistical Mechanics · Physics 2008-04-05 A. Y. Abul-Magd , B. Dietz , T. Friedrich , A. Richter

We present the first experimental study of the electric field distributions E_N of a three-dimensional (3D) microwave chaotic rough billiard with the translational symmetry. The translational symmetry means that the cross-section of the…

Chaotic Dynamics · Physics 2009-03-18 Oleg Tymoshchuk , Nazar Savytskyy , Oleh Hul , Szymon Bauch , Leszek Sirko

With a perturbation body technique intensity distributions of the electric field strength in a flat microwave billiard with a barrier inside up to mode numbers as large as about 700 were measured. A method for the reconstruction of the…

Chaotic Dynamics · Physics 2009-03-24 E. Bogomolny , B. Dietz , T. Friedrich , M. Miski-Oglu , A. Richter , F. Schaefer , C. Schmit

We study the propagation and scattering of electromagnetic waves by random arrays of dipolar cylinders in a uniform medium. A set of self-consistent equations, incorporating all orders of multiple scattering of the electromagnetic waves, is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Ken Wang , Zhen Ye

We study the effect on quantum spectra of the existence of small circular disks in a billiard system. In the limit where the disk radii vanish there is no effect, however this limit is approached very slowly so that even very small radii…

chao-dyn · Physics 2008-02-03 P. Rosenqvist , N. D. Whelan , A. Wirzba

We report on the experimental investigation of the fluctuation properties in the resonance frequency spectra of a flat resonator simulating a dissipative quantum billiard subject to partial time-reversal invariance violation (TIV) which is…

Quantum Physics · Physics 2021-05-12 Malgorzata Bialous , Barbara Dietz , Leszek Sirko

High resolution eigenvalue spectra of several two- and three-dimensional superconducting microwave cavities have been measured in the frequency range below 20 GHz and analyzed using a statistical measure which is given by the distribution…

chao-dyn · Physics 2009-10-31 H. Alt , C. Dembowski , H. -D. Graef , R. Hofferbert , H. Rehfeld , A. Richter , A. Baecker

All-dielectric, sub-micrometric particles have been successfully exploited for light management in a plethora of applications at visible and near-infrared frequency. However, the investigation of the intricacies of the Mie resonances at the…

Using semi-classical formalism and asymptotic proliferation law of periodic orbits, we obtain an analytical expressions for the two-level cluster function, spectral form factor, level spacing distribution and the number variance for…

Chaotic Dynamics · Physics 2009-09-29 H. D. Parab

Linear response spectra of a driven intrinsic localized mode in a micromechanical array are measured as it approaches two fundamentally different kinds of bifurcation points. A linear phase mode associated with this autoresonant state…

Pattern Formation and Solitons · Physics 2015-06-03 M. Sato , S. Imai , N. Fujita , S. Nishimura , Y. Takao , Y. Sada , B. E. Hubbard , B. Ilic , A. J. Sievers

We consider, both theoretically and experimentally, the excitation and detection of the localized quasi-modes (resonances) in an open dissipative 1D random system. We show that even though the amplitude of transmission drops dramatically so…

Disordered Systems and Neural Networks · Physics 2007-05-23 K. Yu. Bliokh , Yu. P. Bliokh , V. Freilikher , A. Z. Genack , B. Hu , P. Sebbah

What we are going to call in this paper "diffractive phenomena" in billiards is far from being deeply understood. These are sorts of singularities that, for example, some kind of corners introduce in the energy eigenfunctions. In this paper…

Chaotic Dynamics · Physics 2009-11-07 Jan Wiersig , Gabriel G. Carlo

The semicylindrical microresonator with relatively simple excitation with a plane wave is studied. The resonator is formed on the base of the dielectric/metal/dielectric structure, where the wave energy penetrates into resonator through a…

Dielectric optical micro-resonators and micro-lasers represent a realization of a wave-chaotic system, where the lack of symmetry in the resonator shape leads to non-integrable ray dynamics. Modes of such resonators display a rich spatial…

We report experiments on spatial switching dynamics and steady state structures of passive nonlinear semiconductor resonators of large Fresnel number. Extended patterns and switching front dynamics are observed and investigated. Evidence of…

Pattern Formation and Solitons · Physics 2009-10-31 V. B. Taranenko , I. Ganne , R. J. Kuszelewicz , C. O. Weiss

A representation of partially spatially coherent and partially polarized stationary electromagnetic fields is given in terms of mutually uncorrelated, transversely shifted, fully coherent and polarized elementary electric-field modes. This…

Optics · Physics 2015-05-19 Jani Tervo , Jari Turunen , Pasi Vahimaa , Frank Wyrowski

A theoretical model based on the transverse resonance method is proposed for the description of cylindrical multilayer dielectric resonator sensors. From this model, the resonant frequency and the sensitivities with respect to geometrical…

Computational Physics · Physics 2007-05-23 R. Barrere , P. Boughedaoui , M. Valentin

Angular momentum ceases to be the preferred basis for identifying dynamical localization in an oval billiard at large excentricity. We give reasons for this, and comment on the classical phase-space structure that is encoded in the wave…

Chaotic Dynamics · Physics 2009-11-07 Jens U. Nockel
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