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We discuss nonlinear spectra of selective reflection from high-density rubidium atomic vapor, where the self-broadening of the resonant transition $5S_{1/2}-5P_{3/2}$ dominates over the Doppler width. In the experiments, the hole-burning…

Atomic Physics · Physics 2026-01-16 V. A. Sautenkov , S. A. Saakyan , A. A. Bobrov , B. B. Zelener

Classical approximation and learning methods are typically optimized for interpolation over a sampled domain {\Omega}, with no guarantees on their behavior in an extrapolation region {\Xi}, where small in-domain errors may amplify. We…

Numerical Analysis · Mathematics 2026-03-11 Guy Hay , Nir Sharon

Interpolation of sparse pixel information towards a dense target resolution finds its application across multiple disciplines in computer vision. State-of-the-art interpolation of motion fields applies model-based interpolation that makes…

Computer Vision and Pattern Recognition · Computer Science 2020-11-05 René Schuster , Oliver Wasenmüller , Christian Unger , Didier Stricker

Spectroscopy requires high-precision wavelength discrimination but typically requires bulky, alignment-sensitive instrumentation. To address this, we present a compact computational spectrometer built from a single germanium PN photodiode.…

We report a complete analytical expression for the one-loop correction to the ac conductivity $\sigma(\omega)$ of a disordered two-dimensional electron system in the diffusive regime. The obtained expression includes the weak localization…

Mesoscale and Nanoscale Physics · Physics 2020-10-27 I. S. Burmistrov

Signal extrapolation tasks arise in miscellaneous manners in the field of image and video signal processing. But, due to the widespread use of low-power and mobile devices, the computational complexity of an algorithm plays a crucial role…

Image and Video Processing · Electrical Eng. & Systems 2022-05-02 Jürgen Seiler , André Kaup

We present a general formulation to calculate the dynamic optical conductivity, beyond the linear response regime, of any electronic system whose quasiparticle dispersion is described by a two band model. Our phenomenological model is based…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 Ashutosh Singh , Tuhina Satpati , Kirill I. Bolotin , Saikat Ghosh , Amit Agarwal

An adaptive interpolation scheme is proposed to accurately calculate the wideband responses in electromagnetic simulations. In the proposed scheme, the sampling points are first carefully divided into several groups based on their responses…

Computational Engineering, Finance, and Science · Computer Science 2022-03-14 Kai Zhu , Jinhui Wang , Shunchuan Yang

Downlink channel estimation in massive MIMO systems is well known to generate a large overhead in frequency division duplex (FDD) mode as the amount of training generally scales with the number of transmit antennas. Using instead an…

Information Theory · Computer Science 2019-02-20 François Rottenberg , Rui Wang , Jianzhong Zhang , Andreas F. Molisch

We study in this paper the function approximation error of multivariate linear extrapolation. The sharp error bound of linear interpolation already exists in the literature. However, linear extrapolation is used far more often in…

Optimization and Control · Mathematics 2026-05-20 Liyuan Cao , Zaiwen Wen , Ya-xiang Yuan

The absence of resistivity saturation in many strongly correlated metals, including the high-temperature superconductors, is critically examined from the viewpoint of optical conductivity measurements. Coherent quasiparticle conductivity,…

Strongly Correlated Electrons · Physics 2009-11-10 N. E. Hussey , K. Takenaka , H. Takagi

The optical conductivity, $\sigma(\omega)$, of the two dimensional one-band Hubbard model is calculated at finite temperature using exact diagonalization techniques on finite clusters. The in-plane d.c. resistivity, $\rho_{ab}$, is also…

Condensed Matter · Physics 2009-10-22 Jose A. Riera , Elbio Dagotto

Most observations of absorption lines from interstellar and intergalactic matter have sufficient resolution to show most of the structure at differing radial velocities of the absorber. In analyzing the lines, however, it is important to…

Astrophysics · Physics 2008-11-26 Edward B. Jenkins

Obtaining conductance spectra for a concentration of disordered impurities distributed over a nanoscale device with sensing capabilities is a well-defined problem. However, to do this inversely, i.e., extracting information about the…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 S. Mukim , J. O'Brien , M. Abarashi , M. S. Ferreira , C. G. Rocha

The numerical complex coupled-mode method used in a metal thin-film optic element is applied to a planar multilayer optical waveguide. All modes are required to satisfy Helmholtz Vectorial equation in an optical waveguide including bound…

Optics · Physics 2020-01-06 Shahram Moradi

Time delay estimation has long been an active area of research. In this work, we show that compressive sensing with interpolation may be used to achieve good estimation precision while lowering the sampling frequency. We propose an…

Information Theory · Computer Science 2013-06-12 Karsten Fyhn , Marco F. Duarte , Søren Holdt Jensen

We develop a full microscopic theory for the optical conductivity, $\sigma(\omega)$, of a dirty current-carrying superconductor. Within the Keldysh sigma model formalism, we obtain the general analytical expression for $\sigma(\omega)$,…

Superconductivity · Physics 2025-12-09 Artem V. Polkin , Mikhail A. Skvortsov

We investigate the possibility of the emergence of ultra-complex conductivity diagrams in the nearly free electron approximation for metals with cubic symmetry. Estimates show that the emergence of such diagrams requires the Fermi level to…

Materials Science · Physics 2026-01-30 A. Ya. Maltsev

We present a high-resolution microwave spectrometer to measure the frequency-dependent complex conductivity of a superconducting thin film near the critical temperature. The instrument is based on a broadband measurement of the complex…

Superconductivity · Physics 2009-11-13 H. Kitano , T. Ohashi , A. Maeda

The regularized near-cloak via the transformation optics approach in the time-harmonic electromagnetic scattering is considered. This work extends the existing studies mainly in two aspects. First, it presents a near-cloak construction by…

Analysis of PDEs · Mathematics 2013-05-10 Gang Bao , Hongyu Liu , Jun Zou