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In coherent diffractive imaging (CDI) the resolution of the reconstructed object is limited by the numerical aperture of the experimental setup. We present here a theoretical and numerical study for achieving super-resolution by…

Data Analysis, Statistics and Probability · Physics 2016-09-20 Tatiana Latychevskaia , Yuriy Chushkin , Hans-Werner Fink

The combined effect due to mechanical strain, coupling to the plasmons in a doped conducting substrate, the plasmon-phonon scattering in conjunction with the role played by encapsulation of a secondary two-dimensional (2D) layer is…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Dipendra Dahal , Godfrey Gumbs , Danhong Huang

The common and traditional method for dispersion compensation in optical domain is concatenating the transmit optical fiber by a compensating optical fiber having high-negative dispersion coefficient. In this paper, we take an opposite…

Information Theory · Computer Science 2016-09-06 Mohammad Hadi , Farokh Marvasti , Mohammad Reza Pakravan

Grimme's DFT-D dispersion contribution to interatomic forces constants, required for the computation of the phonon band structures in density-functional perturbation theory, has been derived analytically. The implementation has then been…

Materials Science · Physics 2018-01-29 Benoit Van Troeye , Marc Torrent , Xavier Gonze

In this paper, we present a new approach for the exact calculation of band structure in one-dimensional periodic media, such as photonic crystals and superlattices, based on the recently reported differential transfer matrix method (DTMM).…

Mathematical Physics · Physics 2009-11-10 Sina Khorasani , Ali Adibi

It is shown in this paper that the light field distribution in a band gap within periodic structures for one-dimensional photonic crystal fibers is described by a decaying factor multiplied by a periodical function that has the same period…

General Physics · Physics 2011-01-25 Changbiao Wang

We develop a reduced-order operator-learning framework for forward and inverse band-structure design of two-dimensional photonic crystals with binary, pixel-based $p4m$-symmetric unit cells. We construct a POD--DeepONet surrogate for the…

Optics · Physics 2026-01-05 Yueqi Wang , Guanglian Li , Guang Lin

We investigate the problem of reconstructing a 2D piecewise smooth function from its bandlimited Fourier measurements. This is a well known and well studied problem with many real world implications, in particular in medical imaging. While…

Numerical Analysis · Mathematics 2025-03-05 Michael Levinov , Yosef Yomdin , Dmitry Batenkov

We applied the analysis of x-ray intensity angular correlation function to dilute ensembles of identical spinel crystals. Firstly, we show that the angular correlation from measured diffraction patterns with many crystals per shot converges…

Materials Science · Physics 2017-01-27 Yun Zhao

The elastodynamic response of finite 3D phononic structures is analyzed by means of comparing experimental findings obtained through a laser Doppler vibrometry-based methodology and theoretical computations performed with the…

Materials Science · Physics 2019-04-24 I. K. Tragazikis , D. A. Exarchos , P. T. Dalla , K. Dassios , T. E. Matikas , I. E. Psarobas

In many image processing tasks it occurs that pixels or blocks of pixels are missing or lost in only some channels. For example during defective transmissions of RGB images, it may happen that one or more blocks in one color channel are…

Image and Video Processing · Electrical Eng. & Systems 2022-09-19 Frank Sippel , Jürgen Seiler , André Kaup

Standard interpolation techniques are implicitly based on the assumption that the signal lies on a homogeneous domain. In this letter, the proposed interpolation method instead exploits prior information about domain inhomogeneity,…

Classical Analysis and ODEs · Mathematics 2017-04-14 Hamid Behjat , Zafer Doğan , Dimitri Van De Ville , Leif Sörnmo

Systematic and automatic calculations of the electronic band structure are a crucial component of computationally-driven high-throughput materials screening. An algorithm, for any crystal, to derive a unique description of the crystal…

Materials Science · Physics 2023-04-24 Yoyo Hinuma , Giovanni Pizzi , Yu Kumagai , Fumiyasu Oba , Isao Tanaka

The path-following scheme in [Loisel and Maxwell, SIAM J. Matrix Anal. Appl., 39-4 (2018), pp. 1726-1749] is adapted to efficiently calculate the dispersion relation curve for linear surface waves on an arbitrary vertical shear current.…

Numerical Analysis · Mathematics 2019-05-09 Peter Maxwell , Simen Å Ellingsen

We present an ab-initio density-functional-theory approach for calculating electron-phonon interactions within the projector augmented-wave method. The required electron-phonon matrix elements are defined as the second derivative of the…

Materials Science · Physics 2020-05-06 Manuel Engel , Martijn Marsman , Cesare Franchini , Georg Kresse

This paper provides a theoretical analysis of diffraction-limited superresolution, demonstrating that arbitrarily close point sources can be resolved in ideal situations. Precisely, we assume that the incoming signal is a linear combination…

Optimization and Control · Mathematics 2015-08-14 Geoffrey Schiebinger , Elina Robeva , Benjamin Recht

Exact analytical results (in terms of Bessel functions) for the bandgaps, reflectance, and transmittance of one-dimensional photonic crystals with a sawtooth refractive index profile on the period are derived for the first time. This…

Optics · Physics 2013-03-12 G. V. Morozov , D. W. L. Sprung , J. Martorell

A pivotal step in image super-resolution techniques is interpolation, which aims at generating high resolution images without introducing artifacts such as blurring and ringing. In this paper, we propose a technique that performs…

Image and Video Processing · Electrical Eng. & Systems 2020-03-23 Sobhan Kanti Dhara , Debashis Sen

We present result of calculations of the surface phonon dispersion curves for Pt(110) using density functional theory in the local density approximation and norm conserving pseudopotentials in a mixed-basis approach. Linear response theory…

Materials Science · Physics 2009-11-11 Sampyo Hong , Talat S. Rahman , Rolf Heid , Klaus Peter Bohnen

We study the effect of spatial dispersion of crystal modes on optical properties such as the reflectivity $R$. As an example for isotropic media, we investigate the simplest model for phonons in ionic crystals and compare with previous…

Optics · Physics 2009-11-10 I. Kaelin , Ch. Helm , G. Blatter
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