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Faraday Rotation Measure (RM) synthesis requires the recovery of the Faraday Dispersion Function (FDF) from measurements restricted to limited wavelength ranges, which is an ill-conditioned deconvolution problem. Here, we propose a novel…

天体物理仪器与方法 · 物理学 2015-06-15 M. Andrecut

We introduce N+2 mapmaking as a novel approach to constructing maps in both intensity and polarization for multi-detector CMB data. The motivation behind this method is two-fold: Firstly, it provides individual temperature detector maps…

天体物理仪器与方法 · 物理学 2025-09-29 M. Galloway , H. K. Eriksen , R. M. Sullivan , D. J. Watts , I. K. Wehus , L. Zapelli

We consider the inverse problem of estimating an unknown function $u$ from noisy measurements $y$ of a known, possibly nonlinear, map $\mathcal{G}$ applied to $u$. We adopt a Bayesian approach to the problem and work in a setting where the…

概率论 · 数学 2013-09-20 Masoumeh Dashti , Kody J. H. Law , Andrew M. Stuart , Jochen Voss

In the context of track fitting problems by a Kalman filter, the appropriate functional forms of the elements of the random process noise matrix are derived for tracking through thick layers of dense materials and magnetic field. This work…

仪器与探测器 · 物理学 2016-07-21 Kolahal Bhattacharya , Sudeshna Banerjee , Naba K Mondal

When internal states of atoms are manipulated using coherent optical or radio-frequency (RF) radiation, it is essential to know the polarization of the radiation with respect to the quantization axis of the atom. We first present a…

原子物理 · 物理学 2017-06-28 J. Koepsell , T. Thiele , J. Deiglmayr , A. Wallraff , F. Merkt

We introduce the construction of polarized intensity cubes $P$(RA, Dec, $\Phi$) and their visualization as movies, as a powerful technique for interpreting Faraday structure. $P$ is constructed from maps of peak polarized intensity P(RA,…

宇宙学与河外天体物理 · 物理学 2024-09-24 Lawrence Rudnick , Craig Anderson , William D. Cotton , Alice Pasetto , Emma Alexander , Mehrnoosh Tahani

For $M$ a simple surface, the non-linear statistical inverse problem of recovering a matrix field $\Phi: M \to \mathfrak{so}(n)$ from discrete, noisy measurements of the $SO(n)$-valued scattering data $C_\Phi$ of a solution of a matrix ODE…

偏微分方程分析 · 数学 2020-06-02 François Monard , Richard Nickl , Gabriel P. Paternain

The Faraday rotation angle is calculated in a diffusive regime in a three dimensional disordered slab. It is shown that it is an oscillating function of the magnetic field or the mediums internal properties, and is proportional to the ratio…

无序系统与神经网络 · 物理学 2015-06-15 V. Gasparian , Zh. S. Gevorkian

We characterize the problem of artificial polarization for the Submillimeter High Angular Resolution Polarimeter (SHARP) through the use of simulated data and observations made at the Caltech Submillimeter Observatory (CSO). These…

天体物理学 · 物理学 2009-11-13 Michael Attard , Martin Houde , Giles Novak , John E. Vaillancourt

The statistical behavior of a nonlinear system described by a mapping with phase rotation is studied. We use the Kolmogorov-Chapman equations for the multi-time probability distribution functions for investigation of dynamics under the…

混沌动力学 · 物理学 2007-05-23 V. V. Zverev

We show that isotropic component of circular polarization of stochastic gravitational wave background can be explored by breaking two dimensional configuration of multiple laser interferometers for correlation analysis. By appropriately…

天体物理学 · 物理学 2008-11-26 Naoki Seto

We propose a new method for the extraction of Rotation Measure from spectral polarization data. The method is based on maximum likelihood analysis and takes into account the circular nature of the polarization data. The method is unbiased…

天体物理学 · 物理学 2009-10-31 S. Sarala , Pankaj Jain

Faraday tomography (or rotation measure synthesis) is a procedure to convert linear polarization spectra into the Faraday dispersion function, which provides us with unique information of magneto-ionic media along the line of sight.…

Rotation averaging (RA) is a fundamental problem in robotics and computer vision. In RA, the goal is to estimate a set of $N$ unknown orientations $R_{1}, ..., R_{N} \in SO(3)$, given noisy measurements $R_{ij} \sim R^{-1}_{i} R_{j}$ of a…

计算机视觉与模式识别 · 计算机科学 2023-11-29 Owen Howell , Haoen Huang , David Rosen

Faraday rotation of polarised background sources is a unique probe of astrophysical magnetic fields in a diverse range of foreground objects. However, to understand the properties of the polarised sources themselves and of depolarising…

The polarimetry of recent pulsar observations has provided a wealth of observational data with which to test physical theories of emission mechanisms, radiative transfer and even theories that extend beyond the Standard Model. In this work,…

高能天体物理现象 · 物理学 2026-05-29 Michael Sarkis , Zi-Yan Yuwen , Yin-Zhe Ma , Tao Liu , Jing Ren , Patrick Weltevrede , Xiao Xue

We investigate how the imprint of Faraday rotation on radio spectra can be used to determine the geometry of radio sources and the strength and structure of the surrounding magnetic fields. We model spectra of Stokes Q and U for frequencies…

星系天体物理 · 物理学 2015-05-27 D. H. F. M. Schnitzeler , J. K. Banfield , K. J. Lee

Different ray paths through a turbulent plasma can produce stochastic Faraday rotation leading to depolarization of any linearly polarized component. Simple theory predicts that the average values of the Stokes parameters decay according to…

天体物理学 · 物理学 2009-10-30 D. B. Melrose , J. -P. Macquart

Faraday rotation of radio source polarization provides a measure of the integrated magnetic field along the observational lines of sight. We compare a new, large sample of Faraday rotation measures (RMs) of polarized extragalactic sources…

天体物理学 · 物理学 2009-11-13 Yongzhong Xu , Philipp P. Kronberg , Salman Habib , Quentin W. Dufton

A transmitted, unknown radar signal is observed at the receiver through more than one path in additive noise. The aim is to recover the waveform of the intercepted signal and to simultaneously estimate the direction of arrival (DOA). We…

统计理论 · 数学 2011-03-30 Tabea Rebafka , Céline Lévy-Leduc , Maurice Charbit