Ray-wave correspondence in limacon-shaped semiconductor microcavities (2009)
Shinohara, Susumu, Hentschel, Martina, Wiersig, Jan, Sasaki, Takahiko, Harayama, Takahisa
The limacon-shaped semiconductor microcavity is a ray-chaotic cavity sustaining low-loss modes with mostly unidirectional emission patterns. Investigating these modes systematically, we show that the...
Marginally Unstable Periodic Orbits in Semiclassical Mushroom Billiards (2009)
Andreasen, Jonathan, Cao, Hui, Wiersig, Jan, Motter, Adilson E.
Optical mushroom shaped billiards offer a unique opportunity to isolate and study non-dispersive, marginally unstable periodic orbits. Here we show that the openness of the cavity to external fields...
Lifetime statistics in chaotic dielectric microresonators. (2009)
Schomerus, Henning, Wiersig, Jan, Main, Joerg
We discuss the statistical properties of lifetimes of electromagnetic quasibound states in dielectric microresonators with fully chaotic ray dynamics. Using the example of a resonator of stadium...
Quality factors and dynamical tunneling in annular microcavities (2009)
Bäcker, Arnd, Ketzmerick, Roland, Löck, Steffen, Wiersig, Jan, Hentschel, Martina
The key characteristic of an optical mode in a microcavity is its quality factor describing the optical losses. The numerical computation of this quantity can be very demanding for present-day...
Lifetime statistics in chaotic dielectric microresonators (2008)
Schomerus, Henning, Wiersig, Jan, Main, Jörg
We discuss the statistical properties of lifetimes of electromagnetic eigenmodes in dielectric microresonators with fully chaotic ray dynamics. Using the example of a resonator of stadium geometry,...
Asymmetric scattering and non-orthogonal mode patterns in optical micro-spirals (2008)
Wiersig, Jan, Kim, Sang Wook, Hentschel, Martina
Quasi-bound states in an open system do in general not form an orthogonal and complete basis. It is, however, expected that the non-orthogonality is weak in the case of well-confined states except...
Goos-Haenchen shift and localization of optical modes in deformed microcavities (2008)
Unterhinninghofen, Julia, Wiersig, Jan, Hentschel, Martina
Recently, an interesting phenomenon of spatial localization of optical modes along periodic ray trajectories near avoided resonance crossings has been observed [J. Wiersig, Phys. Rev. Lett. 97,...
Fractal Weyl law for chaotic microcavities: Fresnel's laws imply multifractal scattering (2007)
We demonstrate that the harmonic inversion technique is a powerful tool to analyze the spectral properties of optical microcavities. As an interesting example we study the statistical properties of...
Combining directional light output and ultralow loss in deformed microdisks (2007)
Wiersig, Jan, Hentschel, Martina
A drawback of high-quality modes in optical microdisks is their isotropic light emission characteristics. Here we report a novel, robust, and general mechanism that results in highly directional...
Spontaneously Symmetry-Broken Current in Coupled Nanomechanical Shuttles (2006)
Ahn, Kang-Hun, Park, Hee Chul, Wiersig, Jan, Hong, Jongbae
We investigate the transport and the dynamical properties of tunnel-coupled double charge shuttles. The oscillation frequencies of two shuttles are mode-locked to integer multiples of the applied...
We study the formation of long-lived states near avoided resonance crossings in open systems. For three different optical microcavities (rectangle, ellipse, and semi-stadium) we provide numerical...
Unidirectional light emission from high-Q modes in optical microcavities (2005)
Wiersig, Jan, Hentschel, Martina
We introduce a new scheme to design optical microcavities supporting high-Q modes with unidirectional light emission. This is achieved by coupling a low-Q mode with unidirectional emission to a...
Schomerus, Henning, Wiersig, Jan, Hentschel, Martina
We investigate whether the force and torque exerted by light pressure on an irregularly shaped dielectric resonator allow to detect resonant frequencies, delivering information complemental to the...
Optomechanical probes of resonances in amplifying microresonators (2004)
Schomerus, Henning, Wiersig, Jan, Hentschel, Martina
We investigate whether the force and torque exerted by light pressure on an irregularly shaped dielectric resonator allow to detect resonant frequencies, delivering information complemental to the...
Optomechanical probes of resonances in amplifying microresonators (2004)
Schomerus, Henning, Wiersig, Jan, Hentschel, Martina
We investigate whether the force and torque exerted by light pressure on an irregularly shaped dielectric resonator allow to detect resonant frequencies, delivering information complemental to the...
Optomechanical probes of resonances in amplifying microresonators. (2004)
Schomerus, Henning, Wiersig, Jan, Hentschel, Martina
We investigate whether the force and torque exerted by light pressure on an irregularly shaped dielectric resonator allow to detect resonant frequencies, delivering information complemental to the...
Opto-mechanical probes of resonances in amplifying microresonators (2003)
Schomerus, Henning, Wiersig, Jan, Hentschel, Martina
We investigate whether the force and torque exerted by light pressure on an irregularly shaped dielectric resonator allow to detect resonant frequencies, delivering information complemental to the...
Low rank perturbations and the spectral statistics of pseudointegrable billiards (2003)
We present an efficient method to solve Schr\"odinger's equation for perturbations of low rank. In particular, the method allows to calculate the level counting function with very little numerical...
Evanescent wave approach to diffractive phenomena in convex billiards with corners (2002)
Wiersig, Jan, Carlo, Gabriel G.
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...
Hexagonal dielectric resonators and microcrystal lasers (2002)
We study long-lived resonances (lowest-loss modes) in hexagonally shaped dielectric resonators in order to gain insight into the physics of a class of microcrystal lasers. Numerical results on...
Spectral Correlation in Incommensurate Multi-Walled Carbon Nanotubes (2002)
Ahn, Kang-Hun, Kim, Yong-Hyun, Wiersig, Jan, Chang, Kee Joo
We investigate the energy spectra of clean incommensurate double-walled carbon nanotubes, and find that the overall spectral properties are described by the so-called critical statistics of Anderson...
Boundary element method for resonances in dielectric microcavities (2002)
A boundary element method based on a Green's function technique is introduced to compute resonances with intermediate lifetimes in quasi-two-dimensional dielectric cavities. It can be applied to...
Spectral properties of quantized barrier billiards (2001)
The properties of energy levels in a family of classically pseudointegrable systems, the barrier billiards, are investigated. An extensive numerical study of nearest-neighbor spacing distributions,...
A pseudointegrable Andreev billiard (2001)
A circular Andreev billiard in a uniform magnetic field is studied. It is demonstrated that the classical dynamics is pseudointegrable in the same sense as for rational polygonal billiards. The...
Devil's Staircase in Magnetoresistance of a Periodic Array of Scatterers (2001)
The nonlinear response to an external electric field is studied for classical non-interacting charged particles under the influence of a uniform magnetic field, a periodic potential, and an effective...
Resonance zones in action space (2001)
The classical and quantum mechanics of isolated, nonlinear resonances in integrable systems with N>=2 degrees of freedom is discussed in terms of geometry in the space of action variables. Energy...
Multistability in the quasiperiodically forced circle map (2001)
Osinga, Hinke, Wiersig, Jan, Glendinning, Paul, Feudel, Ulrike
It is well-known that the dynamics of the Arnol′d circle map is phase-locked in regions of the parameter space called Arnol′d tongues. If the map is invertible, the only possible dynamics is...
The Quantum-Classical Correspondence in Polygonal Billiards (2000)
We show that wave functions in planar rational polygonal billiards (all angles rationally related to Pi) can be expanded in a basis of quasi-stationary and spatially regular states. Unlike the energy...
Multistability and nonsmooth bifurcations in the quasiperiodically forced circle map (2000)
Osinga, Hinke, Wiersig, Jan, Glendinning, Paul, Feudel, Ulrike
It is well-known that the dynamics of the Arnold circle map is phase-locked in regions of the parameter space called Arnold tongues. If the map is invertible, the only possible dynamics is either...
Singular continuous spectra in a pseudo-integrable billiard (2000)
The pseudo-integrable barrier billiard invented by Hannay and McCraw [J. Phys. A 23, 887 (1990)] -- rectangular billiard with line-segment barrier placed on a symmetry axis -- is generalized. It is...
Triaxial Ellipsoidal Quantum Billiards (1999)
Holger Waalkens, Jan Wiersig, Holger R. Dullin
The classical mechanics, exact quantum mechanics and semiclassical quantum mechanics of the billiard in the triaxial ellipsoid is investigated. The system is separable in ellipsoidal coordinates. A...
Triaxial Ellipsoidal Quantum Billiards (1998)
Waalkens, Holger, Wiersig, Jan, Dullin, Holger R.
The classical mechanics, exact quantum mechanics and semiclassical quantum mechanics of the billiard in the triaxial ellipsoid is investigated. The system is separable in ellipsoidal coordinates. A...
Zugl.: Bremen, Universiẗat, Diss., 1998.
Elliptic Quantum Billiard (1997)
Holger Waalkens, Jan Wiersig, Holger R. Dullin
The exact and semiclassical quantum mechanics of the elliptic billiard is investigated. The classical system is integrable and exhibits a separatrix, dividing the phase space into regions of...
Spherical Pendulum, Actions, and Spin (1996)
Peter H. Richter, Holger R. Dullin, Holger Waalkens, Jan Wiersig
The classical and quantum mechanics of a spherical pendulum are worked out, including the dynamics of a suspending frame with moment of inertia `. The presence of two separatrices in the bifurcation...
Energy Surfaces of Ellipsoidal Billiards (1996)
Energy surfaces in the space of action variables are calculated and graphically presented for general triaxial ellipsoidal billiards. As was demonstrated by Jacobi in 1838, the system may be...