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The second order optical response of centrosymmetric materials manifests itself mostly at their surface, being strongly suppressed in their bulk. However, the overall surface response is also suppressed in nanoparticles with a…

Optics · Physics 2021-09-22 Raksha Singla , W. Luis Mochán

Isoradial graphs are a natural generalization of regular graphs which give, for many models of statistical mechanics, the right framework for studying models at criticality. In this survey paper, we first explain how isoradial graphs…

Probability · Mathematics 2010-12-16 Cédric Boutillier , Béatrice De Tilière

Two microring resonators, one with gain and one with loss, coupled to each other and to a bus waveguide, create an effective non-Hermitian potential for light propagating in the waveguide. Due to geometry, coupling for each microring…

Optics · Physics 2019-04-10 Vladimir V. Konotop , Barry C. Sanders , Dmitry A. Zezyulin

Recently, chiral structured illumination microscopy has been proposed to image fluorescent chiral domains at sub-wavelength resolution. Chiral structured illumination microscopy is based on the combination of structured illumination…

Optics · Physics 2021-07-28 Shiang-Yu Huang , Ankit Kumar Singh , Jer-Shing Huang

We present here an overview of Coherent X-ray Diffraction Imaging (CXDI) with its application to nanostructures. This imaging approach has become especially important recently due to advent of X-ray Free-Electron Lasers (XFEL) and its…

Mesoscale and Nanoscale Physics · Physics 2013-04-22 Ivan A. Vartanyants , Oleksandr M. Yefanov

We review the physics and some applications of photonic structures designed for the realisation of strong $\textit{nonlinear chiroptical response}$. We pay much attention to the recent strategy of utilizing different types of…

Optics · Physics 2023-11-10 Kirill Koshelev , Pavel Tonkaev , Yuri Kivshar

We have studied the Stark effect in the soft x-ray region for various small molecules by calculating the field-dependent x-ray absorption spectra. This effect is explained in terms of the response of molecular orbitals (core and valence),…

Chemical Physics · Physics 2025-03-26 Avdhoot Datar , Catherine Wright , Devin A. Matthews

Electron scattering is a tool that can provide relatively clean view of the nuclear structure in both ground and excited states, as it depends on the well-known electromagnetic interaction. But since the common expressions for its cross…

Nuclear Theory · Physics 2019-08-14 Anton Repko , Jan Kvasil

The spin point groups are finite groups whose elements act on both real space and spin space. Among these groups are the magnetic point groups in the case where the real and spin space operations are locked to one another. The magnetic…

Strongly Correlated Electrons · Physics 2025-03-26 Hana Schiff , Alberto Corticelli , Afonso Guerreiro , Judit Romhányi , Paul McClarty

The location of the beam focus when monochromatic x-ray radiation is diffracted by a thin bent crystal is predicted by "crystal lens equation". We derive this equation in a general form valid for Bragg and Laue geometries. This equation has…

Optics · Physics 2022-01-07 Jean-Pierre Guigay , Manuel Sanchez del Rio

We reflect real spectra of new logarithmic model PT-symmetry operators with singular and non-singular in nature. We also notice that iso-spectral nature between inverted and non-inverted logarithmic PT-symmetric potentials. Present…

Quantum Physics · Physics 2023-08-09 Biswanath Rath , Rabab Jarrar , Hussein Shanak , Jihad Asad , Rania Wannan

In this paper, a spectral theorem is proved for self-adjoint cyclically compact partial integral operators in the space of functions with mixed norm, which is a Kaplansky--Hilbert module. The decomposition through eigenfunctions, integral…

Functional Analysis · Mathematics 2025-12-09 K. Kudaybergenov , A. Arziev , P. Orinbaev

We study the microlocal properties of the geodesic X-ray transform $\mathcal{X}$ on a manifold with boundary allowing the presence of conjugate points. Assuming that there are no self-intersecting geodesics and all conjugate pairs are…

Differential Geometry · Mathematics 2015-02-24 Sean Holman , Gunther Uhlmann

Temperature, density and abundance profiles of the hot intracluster medium (ICM) are important diagnostics of the complex interactions of gravitational and feedback processes in the cores of galaxy clusters. Deprojection of X-ray data by…

Astrophysics · Physics 2009-11-13 H. R. Russell , J. S. Sanders , A. C. Fabian

This thesis deals with a class of integrable field theories called models with twist function. The main examples of such models are integrable non-linear sigma models, such as the Principal Chiral Model, and their deformations. A first…

High Energy Physics - Theory · Physics 2018-09-19 Sylvain Lacroix

Light scattering by dust particles is often modeled assuming the dust is spherical for numerical simplicity and speed. However, real dust particles have highly irregular morphologies that significantly affect their scattering properties. We…

Earth and Planetary Astrophysics · Physics 2025-11-14 Zhe-Yu Daniel Lin , Alycia J. Weinberger , Evgenij Zubko , Jessica A. Arnold , Gorden Videen

Micro-particle self assembly under the influence of optical forces produced by higher order optical beams or by projection of a hologram into the trapping volume is well known. In this paper, we report the spontaneous formation of a ring of…

We calculate the circular dichroism (CD) for absorption of the twisted photons, or optical vortices, by atoms, caused by atomic excitation into discrete energy levels. The effects of photon spin on the rates and cross sections of atomic…

Quantum Physics · Physics 2017-10-02 Andrei Afanasev , Carl E. Carlson , Maria Solyanik

Chirality is a fundamental asymmetry phenomenon, with chiral optical elements exhibiting asymmetric response in reflection or absorption of circularly polarized light. Recent realizations of such elements include nanoplasmonic systems with…

Geometrically decorated two-dimensional (2D) discrete surfaces can be more effective than conventional smooth reflectors in managing wave radiation. Constructive non-specular wave scattering permits the scattering angle to be other than…