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We propose a new algorithm to learn a dictionary for reconstructing and sparsely encoding signals from measurements without phase. Specifically, we consider the task of estimating a two-dimensional image from squared-magnitude measurements…

Optimization and Control · Mathematics 2016-11-23 Andreas M. Tillmann , Yonina C. Eldar , Julien Mairal

Method for precise measurements of the ellipticity and rotation of the polarization of a transverse ultrasonic wave is presented. It is applicable for investigating the acoustic analogs of the Faraday, Cotton-Mouton, and Kerr effects. The…

Classical Physics · Physics 2007-05-23 A. M. Burkhanov , K. B. Vlasov , V. V. Gudkov , B. V. Tarasov

(Abridged) This paper introduces the formalism which connects between rotation measure ($\RM$) measurements for extragalactic sources and the cosmological magnetic field power spectrum. It is shown that the amplitude and shape of the…

Astrophysics · Physics 2016-08-30 Tsafrir Kolatt

In this paper, we revisit the rotation averaging problem applied in global Structure-from-Motion pipelines. We argue that the main problem of current methods is the minimized cost function that is only weakly connected with the input data…

Computer Vision and Pattern Recognition · Computer Science 2023-03-10 Ganlin Zhang , Viktor Larsson , Daniel Barath

The Planck Low Frequency Instrument will recover polarization by differencing the outputs from radiometers sensitive to orthogonal polarizations. We contrast the systematic errors that afflict such a system with those that affect…

Astrophysics · Physics 2014-10-13 J. P. Leahy , V. Yurchenko , Morag Hastie , M. Bersanelli , N. Mandolesi

We revisit the polarisation induced by Faraday rotation when Cosmic Microwave Background photons traverse magnetised plasma. We compute the secondary B-mode angular power spectrum from Faraday rotation due to magnetic fields in galaxies and…

Astrophysics · Physics 2009-04-17 Hiroyuki Tashiro , Nabila Aghanim , Mathieu Langer

We introduce a new theoretical framework based on Feynman diagrams to compute phase shifts in matter wave interferometry. The method allows for analytic computation of higher order quantum corrections, beyond the traditional semi-classical…

Atomic Physics · Physics 2026-05-14 Jonah Glick , Tim Kovachy

We report on a giant Faraday effect in an electron plasma in n-InSb probed via polarization-resolved terahertz (THz) time-domain spectroscopy. Polarization rotation angles and ellipticities reach as large as {\pi}/2 and 1, respectively,…

Optics · Physics 2012-08-24 T. Arikawa , X. Wang , A. A. Belyanin , J. Kono

Accurate estimates of the horizontal electric field on the Sun's visible surface are important not only for estimating the Poynting flux of magnetic energy into the corona but also for driving time-dependent magnetohydrodynamic models of…

Solar and Stellar Astrophysics · Physics 2017-02-22 A. R. Yeates

Deep frequency modulation interferometry (DFMI) resolves phase ambiguity in absolute distance measurements by jointly estimating two length-encoding parameters: the coarse and unambiguous effective modulation depth ($m$), and the fine but…

Optics · Physics 2026-04-22 Miguel Dovale-Álvarez

We provide precise fitting formulae for Faraday conversion and rotation coefficients in uniformly magnetized relativistic plasma. The formulae are immediately applicable to Rotation Measure and Circular Polarization (CP) production in jets…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Lei Huang , Roman V. Shcherbakov

We report the first measurements of linear and nonlinear magneto-optical polarization rotation on an intercombination transition of Ba vapor (lambda= 791.1nm). We observe a maximum polarization rotation angle in Faraday configuration of…

Atomic Physics · Physics 2009-09-29 Irina Novikova , Alexander Khanbekyan , David Sarkisyan , George R. Welch

We consider universal quantization with side information for Gaussian observations, where the side information is a noisy version of the sender's observation with noise variance unknown to the sender. In this paper, we propose a universally…

Information Theory · Computer Science 2023-02-24 Shubham Jha

Polynomial and rational functions are the number one choice when it comes to modeling of radial distortion of lenses. However, several extrapolation and numerical issues may arise while using these functions that have not been covered by…

Optimization and Control · Mathematics 2014-09-22 Jan Heller , Didier Henrion , Tomas Pajdla

Mathematical ambiguities in partial-wave analysis present a significant challenge to the extraction of resonance properties in hadronic reactions. Recent work has shown that while linear photon polarization can resolve continuous…

High Energy Physics - Phenomenology · Physics 2025-09-24 Derek I. Glazier , Vincent Mathieu

For effective autonomous navigation,estimation of the pose of the robot is essential at every sampling time. For computing an accurate estimation,odometric error needs to be reduced with the help of data from external sensor. In this work,…

Computer Vision and Pattern Recognition · Computer Science 2012-12-07 Debajyoti Banerji , Ranjit Ray , Jhankar Basu , Indrajit Basak

We consider the problem of projecting a probability measure $\pi$ on a set $\mathcal{M}\_N$ of Radon measures. The projection is defined as a solution of the following variational problem:\begin{equation*}\inf\_{\mu\in \mathcal{M}\_N}…

Numerical Analysis · Mathematics 2015-09-02 Nicolas Chauffert , Philippe Ciuciu , Jonas Kahn , Pierre Weiss

Finite-precision floating point arithmetic unavoidably introduces rounding errors which are traditionally bounded using a worst-case analysis. However, worst-case analysis might be overly conservative because worst-case errors can be…

Numerical Analysis · Mathematics 2019-12-11 Fredrik Dahlqvist , Rocco Salvia , George A Constantinides

Hardy's paradox is analysed within Feynman's formulation of quantum mechanics. A transition amplitude is represented as a sum over virtual paths which different intermediate measurements convert into different sets of real pathways.…

Quantum Physics · Physics 2009-11-13 D. Sokolovski , I. Puerto Gimenez , R. Sala Mayato

A weak continuous quantum measurement of an atomic spin ensemble can be implemented via Faraday rotation of an off-resonance probe beam, and may be used to create and probe nonclassical spin states and dynamics. We show that the probe light…

Quantum Physics · Physics 2009-11-10 Greg A. Smith , Souma Chaudhury , Andrew Silberfarb , Ivan H. Deutsch , Poul S. Jessen