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Let $\Omega$ be a smooth bounded simply connected domain in $\mathbb{R}^2$. We investigate the existence of critical points of the energy $E_\varepsilon (u)=1/2\int_\Omega |\nabla u|^2+1/(4\varepsilon^2)\int_\Omega (1-|u|^2)^2$, where the…

Analysis of PDEs · Mathematics 2013-10-29 Xavier Lamy , Petru Mironescu

Free-free transitions in laser-assisted electron-hydrogen scattering in a bichromatic field of frequencies $\omega $ and $2\omega $ are studied at moderate intensities for fast projectiles. A hybrid approach is used, in which the…

Atomic Physics · Physics 2013-03-07 Aurelia Cionga , Gabriela Zloh

The scaling behaviour of the diffraction intensity near the origin is investigated for (partially) ordered systems, with an emphasis on illustrative, rigorous results. This is an established method to detect and quantify the fluctuation…

Metric Geometry · Mathematics 2021-06-15 Michael Baake , Uwe Grimm

Spectroastrometry is a technique which has the potential to resolve flux distributions on scales of milliarcseconds. In this study, we examine the application of spectroastrometry to binary point sources which are spatially unresolved due…

Astrophysics · Physics 2009-11-10 John M. Porter , Rene D. Oudmaijer , Debbie Baines

We investigate exceptional points, which are branch point singularities of two resonance eigenstates, in spectra of the hydrogen atom in crossed external electric and magnetic fields. A procedure to systematically search for exceptional…

Chaotic Dynamics · Physics 2009-05-12 Holger Cartarius , Jörg Main , Günter Wunner

In the past two decades, laser-accelerated ion sources and their applications have been intensely researched. Recently, it has been shown through experiments that proton beams with characteristics comparable to those obtained with solid…

Plasma Physics · Physics 2018-04-20 Dragos Tatomirescu , Daniel Vizman , Emmanuel d'Humières

We give a method for taking microscopic limits of normal matrix ensembles. We apply this method to study the behaviour near certain types of singular points on the boundary of the droplet. Our investigation includes ensembles without…

Probability · Mathematics 2019-10-10 Yacin Ameur , Nam-Gyu Kang , Nikolai Makarov , Aron Wennman

We observe natural exceptional points in the excitation spectrum of an exciton-polariton system by optically tuning the light-matter interactions. The observed exceptional points do not require any spatial or polarization degrees of freedom…

Stellar surface inhomogeneities such as spots and faculae introduce Doppler variations that challenge exoplanet detection via the radial velocity method. While their impact on disc-integrated spectra is well established, detailed studies of…

Cool spots on the surface of magnetically-active stars modulate their observed brightnesses and temperatures, thereby affecting the stellar locus on the H-R diagram. Recent high precision space-based photometric surveys reveal the…

Solar and Stellar Astrophysics · Physics 2018-12-12 Zhen Guo , Michael Gully-Santiago , Gregory J. Herczeg

We have studied the formation of near-field fringes when sharp edges of materials are imaged using scattering-type scanning near-field optical microscope (s-SNOM). Materials we have investigated include dielectrics, metals, near-perfect…

Closed formulas are derived for the field in the focal region of a diffraction limited lens, such that the electric field component in a given direction at the focal point is larger than that of all other focused fields with the same power…

Optics · Physics 2008-12-26 H. P. Urbach S. F. Pereira

We present a new method to identify the Boundary Conformal Field Theories (BCFTs) describing the critical points of the Ising model on the strip. It consists in measuring the low-lying excitation energies spectra of its quantum spin chain…

Statistical Mechanics · Physics 2013-02-05 Smain Balaska , Nahed Sihem Bounoua

Many experiments and devices in physics use static magnetic fields to guide charged particles from a source onto a detector, and we ask the innocent question: What is the distribution of particle intensity over the detector surface? One…

Instrumentation and Detectors · Physics 2015-10-23 Dirk Dubbers

We have measured the transmission spectrum of the extremely inflated hot Jupiter WASP-52b using simultaneous photometric observations in SDSS u', g' and a filter centred on the sodium doublet (NaI) with the ULTRACAM instrument mounted on…

Earth and Planetary Astrophysics · Physics 2016-09-07 J. Kirk , P. J. Wheatley , T. Louden , S. P. Littlefair , C. M. Copperwheat , D. J. Armstrong , T. R. Marsh , V. S. Dhillon

The optical excitations of elongated graphene nanoflakes of finite length are investigated theoretically through quantum chemistry semi-empirical approaches. The spectra and the resulting dipole fields are analyzed, accounting in full…

The electric fields near the heterogeneous metal/dielectric surface of an atom chip were measured using cold atoms. The atomic sensitivity to electric fields was enhanced by exciting the atoms to Rydberg states that are 10^8 times more…

Atomic Physics · Physics 2012-11-02 J. D. Carter , O. Cherry , J. D. D. Martin

Over the past years, thousands of stellar flares have been detected by harvesting data from large photometric surveys. These detections, however, do not account for potential sources of contamination such as background stars appearing in…

We investigate the problem of density estimation on the unit circle and the unit sphere from a computational perspective. Our primary goal is to develop new density estimators that are both rate-optimal and computationally efficient for…

Statistics Theory · Mathematics 2026-05-08 Athanasios G. Georgiadis , Andrew P. Percival

When a relativistically intense p-polarized laser pulse is grazingly incident onto a planar solid-state target, a slightly superluminal field structure is formed near the target surface due to the incident and reflected waves superposition.…

Plasma Physics · Physics 2018-01-17 D. A. Serebryakov , E. N. Nerush , I. Yu. Kostyukov
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