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In this research, a novel adaptive filtering algorithm is proposed for complex domain signal processing. The proposed algorithm is based on Wirtinger calculus and is called as q-Complex Least Mean Square (q-CLMS) algorithm. The proposed…

Information Theory · Computer Science 2021-10-12 Alishba Sadiq , Imran Naseem , Shujaat Khan , Muhammad Moinuddin , Roberto Togneri , Mohammed Bennamoun

Weak gravitational lensing of distant galaxies by foreground structures has proven to be a powerful tool to study the mass distribution in the universe. The advent of panoramic cameras on 4m class telescope has led to a first generation of…

Astrophysics · Physics 2019-10-23 Henk Hoekstra

Density fluctuations in the matter distribution lead to distortions of the images of distant galaxies through weak gravitational lensing effects. This provides an efficient probe of the cosmological parameters and of the density field. In…

Astrophysics · Physics 2007-05-23 P. Valageas

In modeling strong gravitational lens systems, one often adopts simple models, such as singular isothermal elliptical density plus lowest-order external perturbation. However, such simple models may mislead us if the real mass distribution…

Astrophysics · Physics 2015-06-24 Yozo Kawano , Masamune Oguri , Takahiko Matsubara , Satoru Ikeuchi

The Euclidean algorithm in algebra is applied to a class of gravitational lenses for which the lens equation consists of any set of coupled polynomial equations in the image position. In general, this algorithm allows us to reduce an…

Astrophysics · Physics 2009-11-10 Hideki Asada , Taketoshi Kasai , Masumi Kasai

We propose a new technique to directly measure the shapes of dark matter halos of galaxies using weak gravitational lensing. Extending the standard galaxy-galaxy lensing method, we show that the shape parameters of the mass distribution of…

Astrophysics · Physics 2009-10-31 Priyamvada Natarajan , Alexandre Refregier

Weak gravitational lensing is one of the most promising cosmological probes of the late universe. Several large ongoing (DES, KiDS, HSC) and planned (LSST, EUCLID, WFIRST) astronomical surveys attempt to collect even deeper and larger scale…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-06 Dezső Ribli , Bálint Ármin Pataki , José Manuel Zorrilla Matilla , Daniel Hsu , Zoltán Haiman , István Csabai

The nature of the dark matter remains a mystery. The possibility of an unstable dark matter particle decaying to invisible daughter particles has been explored many times in the past few decades. Meanwhile, weak gravitational lensing shear…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-24 Mei-Yu Wang , Andrew R. Zentner

We propose the novel method of ``gravitational imaging'' to detect and quantify luminous and dark-matter substructure in gravitational-lens galaxies. The method utilizes highly-magnified Einstein rings and arcs as sensitive probes of small…

Astrophysics · Physics 2015-06-24 L. V. E. Koopmans

We develop a semi - analytical method to reconstruct the lensing potential in quadruply imaged gravitational lens systems. Assuming that the potential belongs to a broad class of boxy non - elliptical models, we show how it is possible to…

Astrophysics · Physics 2009-11-06 V. F. Cardone , S. Capozziello , V. Re , E. Piedipalumbo

AIMS. While weak lensing cannot resolve cluster cores and strong lensing is almost insensitive to density profiles outside the scale radius, combinations of both effects promise to constrain density profiles of galaxy clusters well, and…

Astrophysics · Physics 2015-05-13 J. Merten , M. Cacciato , M. Meneghetti , C. Mignone , M. Bartelmann

We present the results of a weak lensing survey of six high-redshift (z > 0.5), X-ray selected clusters of galaxies. We have obtained ultra-deep R-band images of each cluster with the Keck Telescope, and have measured a weak lensing signal…

Astrophysics · Physics 2009-10-31 D. Clowe , G. Luppino , N. Kaiser , I. Gioia

We present a numerical weak-lensing analysis that is fully relativistic and non-perturbative for the scalar part of the gravitational potential and first-order in the vector part, frame dragging. Integrating the photon geodesics backwards…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-26 Francesca Lepori , Julian Adamek , Ruth Durrer , Chris Clarkson , Louis Coates

This paper proposes QPALM, a proximal augmented Lagrangian method based on quadratic approximations, for solving nonlinear programming problems with weakly convex objective and constraint functions. The algorithm is constructed by…

Optimization and Control · Mathematics 2026-05-06 Yule Zhang , Benqi Liu , Xiantao Xiao , Liwei Zhang

In this paper, we compare three methods to reconstruct galaxy cluster density fields with weak lensing data. The first method called FLens integrates an inpainting concept to invert the shear field with possible gaps, and a multi-scale…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Eric Jullo , Sandrine Pires , Mathilde Jauzac , Jean-Paul Kneib

We present the analysis of a sample of twenty-four SLACS-like galaxy-galaxy strong gravitational lens systems with a background source and deflectors from the Illustris-1 simulation. We study the degeneracy between the complex mass…

Astrophysics of Galaxies · Physics 2020-05-27 W. Enzi , S. Vegetti , G. Despali , J. -W. Hsueh , R. B. Metcalf

We examine the prospect of using the observed abundance of weak gravitational lenses to constrain the equation-of-state parameter w of the dark energy. Here we solve the spherical-collapse model with dark energy, clarifying some ambiguities…

Astrophysics · Physics 2009-11-07 Nevin N. Weinberg , Marc Kamionkowski

We present a novel approach for reconstructing the projected mass distribution of clusters of galaxies from sparse and noisy weak gravitational lensing shear data. The reconstructions are regularised using knowledge gained from numerical…

Astrophysics · Physics 2009-11-24 Phil Marshall

Gravitational lensing constitutes one of the most direct observational manifestations of spacetime curvature and provides a powerful probe of compact astrophysical objects. In this work, we present a comprehensive analysis of the bending of…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Partha Pratim Basumallick , Saheb Das , Bhaswati Mandal , Subhadip Sau

Weak gravitational lensing is considered to be one of the most powerful tools to study the mass and the mass distribution of galaxy clusters. However, weak lensing mass reconstructions are plagued by the so-called mass-sheet degeneracy--the…

Astrophysics · Physics 2010-12-16 M. Bradac , M. Lombardi , P. Schneider