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Long duration noisy-looking waveforms such as those obtained in randomly multiply scattering and reverberant media are complex; they resist direct interpretation. Nevertheless, such waveforms are sensitive to small changes in the source of…

地球物理 · 物理学 2015-05-27 Richard L Weaver , Céline Hadziioannou , Eric Larose , Michel Campillo

Driven by the need for describing and understanding wave propagation in structural materials and components, several analytical, numerical, and experimental techniques have been developed to obtain dispersion curves. Accurate…

信号处理 · 电气工程与系统科学 2020-02-26 Mohammad I. Albakri , Vijaya V. N. Sriram Malladi , Serkan Gugercin , Pablo A. Tarazaga

The spatio-temporal dynamics of the deformation of a vibrated plate is measured by a high speed Fourier transform profilometry technique. The space-time Fourier spectrum is analyzed. It displays a behavior consistent with the premises of…

混沌动力学 · 物理学 2011-07-13 Nicolas Mordant

The problem of imaging extended targets (sources or scatterers) is formulated in the framework of compressed sensing with emphasis on subwavelength resolution. The proposed formulation of the problems of inverse source/scattering is…

光学 · 物理学 2009-09-15 Albert C. Fannjiang

Many phenomena are described by bivariate signals or bidimensional vectors in applications ranging from radar to EEG, optics and oceanography. The time-frequency analysis of bivariate signals is usually carried out by analyzing two separate…

统计方法学 · 统计学 2016-09-09 Julien Flamant , Nicolas Le Bihan , Pierre Chainais

We introduce a fast algorithm for computing sparse Fourier transforms supported on smooth curves or surfaces. This problem appear naturally in several important problems in wave scattering and reflection seismology. The main observation is…

数值分析 · 数学 2008-01-11 Lexing Ying

We present measurements of the complete spatio-temporal Fourier spectrum of Faraday waves. The Faraday waves are generated at the interface of two immiscible index matched liquids of different density. By use of a new absorption technique…

斑图形成与孤子 · 物理学 2009-11-11 A. V. Kityk , E. Embs , V. V. Mekhonoshin , C. Wagner

The changes in brightness of an astronomical source as a function of time are key probes into that source's physics. Periodic and quasi-periodic signals are indicators of fundamental time (and length) scales in the system, while stochastic…

天体物理仪器与方法 · 物理学 2023-08-08 Matteo Bachetti , Daniela Huppenkothen

The interference of fluorescence signals and noise remains a significant challenge in Raman spectrum analysis, often obscuring subtle spectral features that are critical for accurate analysis. Inspired by variational methods similar to…

图像与视频处理 · 电气工程与系统科学 2025-12-08 Nelson H. T. Lemes , José Claudinei Ferreira , Higor V. M. Ferreira

In recent years, a number of works have studied methods for computing the Fourier transform in sublinear time if the output is sparse. Most of these have focused on the discrete setting, even though in many applications the input signal is…

数据结构与算法 · 计算机科学 2016-09-06 Eric Price , Zhao Song

We demonstrate that a dispersive imaging technique based on the Faraday effect can measure the atom number in a large, ultracold atom cloud with a precision below the atom shot noise level. The minimally destructive character of the…

The nonlinear Fourier transform, which is also known as the forward scattering transform, decomposes a periodic signal into nonlinearly interacting waves. In contrast to the common Fourier transform, these waves no longer have to be…

信息论 · 计算机科学 2015-11-24 Sander Wahls , H. Vincent Poor

A set of semi-analytical techniques based on Fourier analysis is used to solve wave scattering problems in variously shaped waveguides with varying normal admittance boundary conditions. Key components are newly developed conformal mapping…

数学物理 · 物理学 2015-06-02 Anders Andersson , Borje Nilsson , Thomas Biro

Historically employed spectroscopic architectures used for large field of view mapping spectroscopy in millimetere and sub-millimetre astronomy suffer from significant drawbacks. On-chip filterbank spectrometers are a promising technology…

天体物理仪器与方法 · 物理学 2026-04-14 Chris S. Benson , Peter S. Barry , Patrick Ashworth , Harry Gordon-Moys , Kirit S. Karkare , Izaak Morris , Gethin Robson

We demonstrate, for the first time, supercontinuum generation spanning more than three octaves in dispersion-engineered thin-film lithium tantalate (TFLT) waveguides. Pumped by a femtosecond laser at 1560 nm, the waveguides yield a spectrum…

光学 · 物理学 2025-12-25 Lingfang Wang , Tianyou Tang , Huizong Zhu , Juanjuan Lu

We present a method to determine the shot noise in quantum systems from knowledge of their time evolution - the latter being obtained using numerical simulation techniques. While our ultimate goal is the study of interacting systems, the…

介观与纳米尺度物理 · 物理学 2015-05-18 A. Branschädel , E. Boulat , H. Saleur , P. Schmitteckert

Nonlinear propagation of intense femtosecond laser pulses in bulk transparent media leads to a specific propagation regime, termed femtosecond filamentation, which in turn produces dramatic spectral broadening, or superbroadening, termed…

We investigate the spatial quantum noise properties of the one dimensional transverse pattern formation instability in intra-cavity second-harmonic generation. The Q representation of a quasi-probability distribution is implemented in terms…

量子物理 · 物理学 2007-05-23 M. Bache , P. Scotto , R. Zambrini , M. San Miguel , M. Saffman

We report experimental results of parallel measurement of spectral components of the light. The temporal fluctuations of an optical field mixed with a separate reference are recorded with a high throughput complementary metal oxide…

光学 · 物理学 2008-11-26 Michael Atlan , Michel Gross

In coherent diffraction imaging (CDI) experiments, the intensity of the scattered wave impinging on an object is measured on an array of detectors. This signal can be interpreted as the square of the modulus of the Fourier transform of the…