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Related papers: Localization of shadow poles by complex scaling

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Problems with localized nonhomogeneous material properties present well-known challenges for numerical simulations. In particular, such problems may feature large differences in length scales, causing difficulties with meshing and…

Numerical Analysis · Mathematics 2021-11-23 Alex Viguerie , Silvia Bertoluzza , Alessandro Veneziani , Ferdinando Auricchio

Nanobeam electron diffraction can probe local structural properties of complex crystalline materials including phase, orientation, tilt, strain, and polarization. Ideally, each diffraction pattern from a projected area of a few unit cells…

We studied polyelectrolyte adsorption on a repulsive charged surface by scaling analysis. At low ionic strength and low surface charge density in which a single polyelectrolyte is able to be adsorbed onto the surface, different regimes in…

Soft Condensed Matter · Physics 2016-08-31 Chi-Ho Cheng , Pik-Yin Lai

Broadband electromagnetic transparency phenomenon is realized with a well-designed graded-permittivity sphere, which has an extremely low scattering cross section over a wide frequency range, based on the generalized Mie scattering theory…

Optics · Physics 2015-06-22 Lei Sun , Jie Gao , Xiaodong Yang

We study the quantum scattering in two spatial dimensions (2D). Our computational scheme allows to quantitatively analyze the scattering parameters for the strong anisotropy of the interaction potential. High efficiency of the method is…

Quantum Physics · Physics 2015-06-19 Eugene A. Koval , Oksana A. Koval , Vladimir S. Melezhik

We explore the use of strong lensing by galaxy clusters to constrain the dark energy equation of state and its possible time variation. The cores of massive clusters often contain several multiply imaged systems of background galaxies at…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Anson D'Aloisio , Priyamvada Natarajan

The calculation of scattering amplitudes at higher orders in perturbation theory has reached a high degree of maturity. However, their usage to produce physical predictions within Monte Carlo programs is often precluded by the slow…

High Energy Physics - Phenomenology · Physics 2025-09-24 Víctor Bresó , Gudrun Heinrich , Vitaly Magerya , Anton Olsson

We discuss the potential of multilayered plasmonic particles to tailor the optical scattering response. The interplay of plasmons localized in thin stacked shells realizes peculiar degenerate cloaking and resonant states occurring at…

Materials Science · Physics 2013-03-20 Francesco Monticone , Christos Argyropoulos , Andrea Alu

We demonstrate the validity of the complex scaling method for realistic strong, non-local, nucleon- nucleon interactions by comparing the deuteron bound state and nucleon-nucleon scattering phase shifts with results from other…

Nuclear Theory · Physics 2015-03-05 G. Papadimitriou , J. P. Vary

We compute the shadows of colliding black holes using the Kastor-Traschen cosmological multiblack hole solution that is an exact solution describing the collision of maximally charged black holes with a positive cosmological constant. We…

General Relativity and Quantum Cosmology · Physics 2011-10-20 Daisuke Nitta , Takeshi Chiba , Naoshi Sugiyama

Light scattering from chiral plasmonic structures can create near fields with an asymmetry greater than the equivalent circularly polarised light, a property sometimes referred to as superchirality. These near fields with enhanced chiral…

The problem of detecting dark matter filaments in the cosmic web is considered. Weak lensing is an ideal probe of dark matter, and therefore forms the basis of particularly promising detection methods. We consider and develop a number of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 James M. G. Mead , Lindsay J. King , Ian G. McCarthy

We characterize the long range dipolar scattering in 2-dimensions. We use the analytic zero energy wavefunction including the dipolar interaction; this solution yields universal dipolar scattering properties in the threshold regime. We also…

Atomic Physics · Physics 2015-05-13 Christopher Ticknor

Scattering poles correspond to non-trivial scattered fields in the absence of incident waves and play a crucial role in the study of wave phenomena. These poles are complex wavenumbers with negative imaginary parts. In this paper, we prove…

Numerical Analysis · Mathematics 2025-07-08 Xiaodong Liu , Jiguang Sun , Lei Zhang

Masses, widths, and branching ratios of hadronic resonances are quantified by their pole positions and residues with respect to transition amplitudes on the Riemann sheets of the complex energy-plane. In this study we discuss the analytic…

High Energy Physics - Phenomenology · Physics 2022-04-06 Daniel Sadasivan , Andrei Alexandru , Hakan Akdag , Felipe Amorim , Ruairí Brett , Chris Culver , Michael Döring , Frank X. Lee , Maxim Mai

This article gives the construction and complete classification of all three-dimensional spherical manifolds, and orders them by decreasing volume, in the context of multiconnected universe models with positive spatial curvature. It…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Evelise Gausmann , Roland Lehoucq , Jean-Pierre Luminet , Jean-Philippe Uzan , Jeffrey Weeks

We consider the global existence and scattering for solutions of magnetic Zakharov system in three-dimensional space. When the initial data is small, we prove the existence of smooth global solutions and scattering results, by combining the…

Analysis of PDEs · Mathematics 2024-02-19 Xiaohong Wang , Lijia Han

Starting from the hypothesis of scaling solutions, the general exact form of the scalar field potential is found. In the case of two fluids, it turns out to be a negative power of hyperbolic sine. In the case of three fluids the analytic…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Claudio Rubano , John D. Barrow

We calculate the Regge poles of the scattering matrix for a gravitating compact body, for scalar fields and for gravitational waves in the axial sector. For a neutron-starlike body, the spectrum exhibits two distinct branches of poles,…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Mohamed Ould El Hadj , Tom Stratton , Sam R. Dolan

Consider the time-domain multiple cavity scattering problem, which arises in diverse scientific areas and has significant industrial and military applications. The multiple cavity embedded in an infinite ground plane, is filled with…

Analysis of PDEs · Mathematics 2019-04-18 Yang Liu , Yixian Gao , Jian Zu