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We give an explicit sequence of polarizations such that for every measurable function, the sequence of iterated polarizations converge to the symmetric rearrangement of the initial function.

Functional Analysis · Mathematics 2009-12-22 Jean Van Schaftingen

An easily constructed and operated polarimeter precisely determines the relative Stokes parameters that characterize the polarization of laser light. The polarimeter is calibrated in situ without removing or realigning its optical elements,…

Instrumentation and Detectors · Physics 2021-02-22 V. Wirthl , C. D. Panda , P. W. Hess , B. Spaun , G. Gabrielse

Recently, it has become evident that submodularity naturally captures widely occurring concepts in machine learning, signal processing and computer vision. Consequently, there is need for efficient optimization procedures for submodular…

Machine Learning · Computer Science 2013-11-19 Stefanie Jegelka , Francis Bach , Suvrit Sra

A theoretical framework is introduced to model the dynamical changes of the state of polarization during transmission in coherent fibre-optic systems. The model generalizes the one-dimensional phase noise random walk to higher dimensions,…

In polarization optics, various topological constructs, namely Poincar\'e spheres of different orders, are used to represent uniform and structured polarization distributions. Similarly, there are also structured polarization optical…

Optics · Physics 2025-07-08 Mohammad Umar , P. Senthilkumaran

In the context of computer models, calibration is the process of estimating unknown simulator parameters from observational data. Calibration is variously referred to as model fitting, parameter estimation/inference, an inverse problem, and…

Methodology · Statistics 2023-10-16 Richard D. Wilkinson , Christopher W. Lanyon

While any two-dimensional mixed state of polarization of light can be represented by a combination of a pure state and a fully random state, any Mueller matrix can be represented by a convex combination of a pure component and three…

Optics · Physics 2017-04-05 Jose J. Gil

Classical polarimetry is a well-established discipline with diverse applications across different branches of science. The burgeoning interest in leveraging quantum resources to achieve highly sensitive measurements has spurred researchers…

Quantum Physics · Physics 2025-01-30 Ali Pedram , Vira R. Besaga , Lea Gassab , Frank Setzpfandt , Özgür E. Müstecaplıoğlu

Star test polarimetry is an imaging polarimetry technique in which an element with spatially-varying birefringence is placed in the pupil plane to encode polarization information into the point-spread function (PSF) of an imaging system. In…

Instrumentation and Methods for Astrophysics · Physics 2020-01-08 Anthony Vella , Miguel A. Alonso

We utilize the localization analysis method to precisely determine the light beam positions with the spatial separation beyond the optical diffraction limit. By such a direct spatial measurement, the associated optical setup is built to…

Instrumentation and Detectors · Physics 2018-10-11 Hoi Chun Chiu , Zhuohui Zeng , Luwei Zhao , Teng Zhao , Shengwang Du , Xian Chen

An analysis of the matrix models representing the polarimetric properties of light and material media is carried out by using the concept of the coherency matrix, which leads to the identification and definition of their corresponding…

Optics · Physics 2020-02-18 José J. Gil

Various algebraic multigrid algorithms have been developed for solving problems in scientific and engineering computation over the past decades. They have been shown to be well-suited for solving discretized partial differential equations…

Numerical Analysis · Mathematics 2018-05-08 Xuefeng Xu , Chen-Song Zhang

Information on the polarization properties of scattered light from plasmonic systems are of paramount importance due to fundamental interest and potential applications. However, such studies are severely compromised due to the experimental…

Circular-harmonic spectra are a compact representation of local image features in two dimensions. It is well known that the computational complexity of such transforms is greatly reduced when polar separability is exploited in steerable…

Computer Vision and Pattern Recognition · Computer Science 2020-11-09 Hugh L Kennedy

With the forthcoming release of high precision polarization measurements, such as from the Planck satellite, it becomes critical to evaluate the performance of estimators for the polarization fraction and angle. These two physical…

Instrumentation and Methods for Astrophysics · Physics 2015-02-11 L. Montier , S. Plaszczynski , F. Levrier , M. Tristram , D. Alina , I. Ristorcelli , J. -P. Bernard , V. Guillet

We investigate the impact of instrumental systematic errors on the potential of cosmic microwave background polarization experiments targeting primordial B-modes. To do so, we introduce spin-weighted Muller matrix-valued fields describing…

Astrophysics · Physics 2008-11-26 Daniel O'Dea , Anthony Challinor , Bradley R. Johnson

A framework is proposed that allows for a joint description and optimization of both binary polar coding and the multilevel coding (MLC) approach for $2^m$-ary digital pulse-amplitude modulation (PAM). The conceptual equivalence of polar…

Information Theory · Computer Science 2016-11-17 Mathis Seidl , Andreas Schenk , Clemens Stierstorfer , Johannes B. Huber

In this diploma thesis, the calibration of the vector polarimeter POLIS will be described. The instrument is built by the Kiepenheuer-Institut fuer Sonnenphysik (Freiburg/Germany) in cooperation with the High Altitude Observatory…

Instrumentation and Methods for Astrophysics · Physics 2013-08-23 C. Beck

The method proposed in [I.R. Khairulin et al., JETP Letters 117(9), 652 (2023)] for converting the linearly polarized radiation of high-order harmonics of an optical field into the circularly polarized in an optically modulated active…

End-to-end optimization, which simultaneously optimizes optics and algorithms, has emerged as a powerful data-driven method for computational imaging system design. This method achieves joint optimization through backpropagation by…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Chi-Jui Ho , Yash Belhe , Steve Rotenberg , Ravi Ramamoorthi , Tzu-Mao Li , Nicholas Antipa