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We measure the frequency dependent capacitance of a gate covering the edge and part of a two-dimensional electron gas in the quantum Hall regime. In applying a positive gate bias, we create a metallic puddle under the gate surrounded by an…

Condensed Matter · Physics 2010-03-12 N. B. Zhitenev , M. Brodsky , R. C. Ashoori , M. R. Melloch

It is shown that elastic resonance scattering of light by a finite-size obstacle with weak dissipation is analogous to quantum scattering by a potential with quasi-discrete levels and exhibits Fano resonances. Localized plasmons…

Other Condensed Matter · Physics 2007-09-20 Michael I. Tribelsky , Sergej Flach , Andrey E. Miroshnichenko , Andrey Gorbach , Yuri S. Kivshar

A deformation of the wave equation on a two-dimensional black hole is considered as a toy-model for possible gravitational or stringy nonlocal effects. The deformed wave-equation allows for an initial-value problem despite being nonlocal.…

High Energy Physics - Theory · Physics 2009-10-31 J. Teschner

High refractive index dielectric nanostructures provide original optical properties thanks to the occurrence of size- and shape-dependent optical resonance modes. These modes commonly present a spectral overlap of broad, low-order modes…

We consider curvature-induced resonances in a planar two-dimensional Dirichlet tube of a width $ d $. It is shown that the distances of the corresponding resonance poles from the real axis are exponentially small as $ d\to 0+ $, provided…

funct-an · Mathematics 2008-02-03 P. Duclos , P. Exner , B. Meller

In this work we propose a topological valley phononic crystal plate and we extensively investigate the refraction of valley modes into the surrounding homogeneous medium. This phononic crystal includes two sublattices of resonators (A and…

Applied Physics · Physics 2021-05-12 Linyun Yang , Kaiping Yu , Bernard Bonello , Wei Wang , Ying Wu

Conventional microlasing of electromagnetic waves requires (1) a high $Q$ cavity and (2) a mechanism for directional emission. Previous theoretical and experimental work demonstrated that the two requirements can be met with deformed…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Chen-Di Han , Cheng-Zhen Wang , Hong-Ya Xu , Danhong Huang , Ying-Cheng Lai

We report a surprising observation that the output directionality from wavelength-scale optical microcavities displays extreme sensitivity to deformations of the cavity shape. A variation of the cavity boundary on the order of ten…

Optics · Physics 2015-06-11 Li Ge , Qinghai Song , Brandon Redding , Hui Cao

In this work, we propose a coupled mode theory for resonant response from quasi-guided modes in periodic dielectric metasurfaces. First, we derived a generic set of constraints imposed onto the parameters of the temporal coupled mode theory…

The electrical and optical properties of ordered passive arrays, constituted of inductive and capacitive components, are usually deduced from Kirchhoff's rules. Under the assumption of periodic boundary conditions, comparable results may be…

Other Condensed Matter · Physics 2009-11-11 Steffen Schäfer , Laurent Raymond , Gilbert Albinet

A simple 1-D relativistic model for a diatomic molecule with a double point interaction potential is solved exactly in a constant electric field. The Weyl-Titchmarsh-Kodaira method is used to evaluate the spectral density function, allowing…

Quantum Physics · Physics 2012-10-01 Francois Fillion-Gourdeau , Emmanuel Lorin , Andre D. Bandrauk

Resonances, or scattering poles, are complex numbers which mathematically describe meta-stable states: the real part of a resonance gives the rest energy, and its imaginary part, the rate of decay of a meta-stable state. This description…

Analysis of PDEs · Mathematics 2007-05-23 Maciej Zworski

Symmetry has imposed very strong constraints on the structures of internal wave functions and on the accessibility of outgoing channels. Based on symmetry consideration, the existence of a number of bound excited states and low-lying…

Atomic Physics · Physics 2007-05-23 C. G. Bao

The interference between resonance signal and continuum background can be either constructive or destructive, depending on the relative sign of couplings between the signal and background amplitudes. Different interference schemes lead to…

High Energy Physics - Phenomenology · Physics 2016-05-13 Ligong Bian , Da Liu , Jing Shu , Yongchao Zhang

We observe fine structure in the resonance spectra of optical microcavities. We identify the polarization-resolved modes in the spectrum and find that resonance frequencies split in accordance with the theoretical prediction. The observed…

Optics · Physics 2022-06-15 C. Koks , F. B. Baalbergen , M. P. van Exter

A thorough study of the $J^{PC}=1^{++}$ elastic $D^{0}\bar{D}^{\ast0}$ and $D^{+}D^{\ast-}$ scattering, where the form of the meson-meson interaction is inferred from lattice QCD calculations of string breaking, is carried out for…

High Energy Physics - Phenomenology · Physics 2023-03-03 R. Bruschini , P. González

Recent developments in thin-film fabrication and processing open up interesting possibilities for both established and emerging optics technologies. There, one of the key questions requiring more complete understanding is by how much one…

Optics · Physics 2025-01-03 Pyry Kivisaari , Mikko Partanen , Jani Oksanen

We theoretically study the interaction between dual cavity modes in a planar photonic microcavity structure in the optical communication wavelength range. The merging and splitting of cavity mode is analyzed with realistic microcavity…

Optics · Physics 2014-12-01 Elizabeth Noble , Rajesh V. Nair , B. N. Jagatap

We consider the interaction of two level ultracold atoms resonant with a sinusoidal mode of the electromagnetic field in a high Q cavity. We found that well resolved resonances appear in the transmission coefficients even for actual…

Quantum Physics · Physics 2009-10-31 J. C. Retamal , E. Solano , N. Zagury

We introduce a class of unidirectional lasing modes associated with the frozen mode regime of non-reciprocal slow-wave structures. Such asymmetric modes can only exist in cavities with broken time-reversal and space inversion symmetries.…

Optics · Physics 2015-06-17 H. Ramezani , S. Kalish , I. Vitebskiy , T. Kottos