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We develop an improved phase calibration method of a reflective spatial light modulator (SLM) using interferometry by employing novel phase masks. We generate the optimised phase masks by using Iterative Fourier Transform Algorithm (IFTA)…

Optics · Physics 2022-04-26 Amar Deo Chandra , Ayan Banerjee

The Fast Multipole Method (FMM) for the Poisson equation is extended to the case of non-axisymmetric problems in an axisymmetric domain, described by cylindrical coordinates. The method is based on a Fourier decomposition of the source into…

Numerical Analysis · Mathematics 2023-01-04 Michael J. Carley

The Euclid mission has the potential to understand the fundamental physical nature of late-time cosmic acceleration and, as such, of deviations from the standard cosmological model, LCDM. In this paper, we focus on model-independent methods…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-04 Euclid Collaboration , I. S. Albuquerque , N. Frusciante , Z. Sakr , S. Srinivasan , L. Atayde , B. Bose , V. F. Cardone , S. Casas , M. Martinelli , J. Noller , E. M. Teixeira , D. B. Thomas , I. Tutusaus , M. Cataneo , K. Koyama , L. Lombriser , F. Pace , A. Silvestri , N. Aghanim , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , A. Biviano , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , G. Cañas-Herrera , V. Capobianco , C. Carbone , J. Carretero , M. Castellano , G. Castignani , S. Cavuoti , K. C. Chambers , A. Cimatti , C. Colodro-Conde , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , L. Corcione , F. Courbin , H. M. Courtois , A. Da Silva , H. Degaudenzi , S. de la Torre , G. De Lucia , A. M. Di Giorgio , H. Dole , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , A. Ealet , S. Escoffier , M. Farina , S. Farrens , F. Faustini , S. Ferriol , F. Finelli , P. Fosalba , S. Fotopoulou , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , B. Gillis , C. Giocoli , J. Gracia-Carpio , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , P. Hudelot , S. Ilić , K. Jahnke , M. Jhabvala , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , M. Kilbinger , B. Kubik , M. Kunz , H. Kurki-Suonio , A. M. C. Le Brun , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , N. Martinet , F. Marulli , R. Massey , E. Medinaceli , S. Mei , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , A. Mora , M. Moresco , L. Moscardini , R. C. Nichol , S. -M. Niemi , J. W. Nightingale , C. Padilla , S. Paltani , F. Pasian , W. J. Percival , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , L. Pozzetti , F. Raison , R. Rebolo , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , D. Sapone , B. Sartoris , J. A. Schewtschenko , M. Schirmer , T. Schrabback , A. Secroun , E. Sefusatti , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , I. Tereno , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , E. A. Valentijn , L. Valenziano , J. Valiviita , T. Vassallo , G. Verdoes Kleijn , A. Veropalumbo , Y. Wang , J. Weller , G. Zamorani , E. Zucca , E. Bozzo , C. Burigana , M. Calabrese , D. Di Ferdinando , J. A. Escartin Vigo , S. Matthew , N. Mauri , A. Pezzotta , M. Pöntinen , C. Porciani , V. Scottez , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , V. Allevato , S. Alvi , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , A. Balaguera-Antolinez , M. Ballardini , D. Bertacca , A. Blanchard , L. Blot , S. Borgani , M. L. Brown , S. Bruton , R. Cabanac , A. Calabro , B. Camacho Quevedo , A. Cappi , F. Caro , C. S. Carvalho , T. Castro , F. Cogato , A. R. Cooray , S. Davini , G. Desprez , A. Díaz-Sánchez , S. Di Domizio , A. G. Ferrari , I. Ferrero , A. Finoguenov , A. Fontana , F. Fornari , L. Gabarra , K. Ganga , J. García-Bellido , T. Gasparetto , V. Gautard , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , A. Gregorio , M. Guidi , C. M. Gutierrez , S. Hemmati , H. Hildebrandt , J. Hjorth , A. Jimenez Muñoz , J. J. E. Kajava , Y. Kang , V. Kansal , D. Karagiannis , C. C. Kirkpatrick , S. Kruk , M. Lattanzi , S. Lee , J. Le Graet , L. Legrand , M. Lembo , J. Lesgourgues , T. I. Liaudat , A. Loureiro , J. Macias-Perez , M. Magliocchetti , F. Mannucci , R. Maoli , J. Martín-Fleitas , C. J. A. P. Martins , L. Maurin , R. B. Metcalf , M. Migliaccio , M. Miluzio , P. Monaco , C. Moretti , G. Morgante , C. Murray , S. Nadathur , K. Naidoo , Nicholas A. Walton , K. Paterson , L. Patrizii , A. Pisani , V. Popa , D. Potter , I. Risso , P. -F. Rocci , M. Sahlén , E. Sarpa , A. Schneider , M. Schultheis , D. Sciotti , E. Sellentin , M. Sereno , L. C. Smith , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Tosi , A. Troja , M. Tucci , C. Valieri , D. Vergani , F. Vernizzi , G. Verza , P. Vielzeuf

We present an optimised multipole algorithm for computing the three-point correlation function (3PCF), tailored for application to large-scale cosmological datasets. The algorithm builds on a $in\, situ$ interpretation of correlation…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Wenjie Ju , Longlong Feng , Zhiqi Huang , Xin Sun , Weishan Zhu

We develop a new method for deconvolving the smearing effect of the survey window in the analysis of the galaxy multipole power spectra from a redshift survey. This method is based on the deconvolution theorem, and is compatible with the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Takahiro Sato , Gert Huetsi , Kazuhiro Yamamoto

The Number Theoretic Transform (NTT) is an indispensable tool for computing efficient polynomial multiplications in post-quantum lattice-based cryptography. It has strong resemblance with the Fast Fourier Transform (FFT), which is the most…

Cryptography and Security · Computer Science 2025-04-16 Rishabh Shrivastava , Chaitanya Prasad Ratnala , Durga Manasa Puli , Utsav Banerjee

We describe a method for estimating the power spectrum of density fluctuations from galaxy redshift surveys that yields improvement in both accuracy and resolution over direct Fourier analysis. The key feature of this analysis is expansion…

Astrophysics · Physics 2009-10-28 Michael S. Vogeley , Alexander S. Szalay

In this paper we present a novel iterative multiphase clustering technique for efficiently clustering high dimensional data points. For this purpose we implement clustering feature (CF) tree on a real data set and a Gaussian density…

Machine Learning · Computer Science 2014-11-13 Chandrima Sarkar , Atanu Roy

We study unbinned multivariate analysis techniques, based on Statistical Learning, for indirect new physics searches at the LHC in the Effective Field Theory framework. We focus in particular on high-energy $ZW$ production with fully…

High Energy Physics - Phenomenology · Physics 2023-01-11 Siyu Chen , Alfredo Glioti , Giuliano Panico , Andrea Wulzer

Imaging data is the principal observable required to use galaxy-scale strong lensing in a multitude of applications in extragalactic astrophysics and cosmology. In this paper, we develop Lensing Exposure Time Calculator (LensingETC) to…

The conservation of the long wavelength fluctuations of the metric plays a vital role in cosmology as the link between quantum fluctuations during inflation and late time observations. This is a well-known property of the classical…

High Energy Physics - Theory · Physics 2025-02-06 Daniel Green , Kshitij Gupta

The fast Fourier transform, FFT, is a useful and prevalent algorithm in signal processing. It characterizes the spectral components of a signal, or is used in combination with other operations to perform more complex computations such as…

Signal Processing · Electrical Eng. & Systems 2017-11-08 Hani Nejadriahi , David HillerKuss , Jonathan K. George , Volker J. Sorger

We introduce the use of the Fast Multipole Method (FMM) to speed up gravitational lensing ray tracing calculations. The method allows very fast calculation of ray deflections when a large number of deflectors, $N_*$, is involved, while…

Astrophysics of Galaxies · Physics 2022-12-21 J. Jiménez Vicente , E. Mediavilla

Recent progress in synthetic aperture sonar (SAS) technology and processing has led to significant advances in underwater imaging, outperforming previously common approaches in both accuracy and efficiency. There are, however, inherent…

Numerical Analysis · Mathematics 2017-06-28 John McKay , Anne Gelb , Vishal Monga , Raghu Raj

We consider the Fast Fourier Transform (FFT) based numerical method for thin film magnetization problems [Vestg{\aa}rden and Johansen, SuST, 25 (2012) 104001], compare it with the finite element methods, and evaluate its accuracy. Proposed…

Computational Physics · Physics 2018-05-09 Leonid Prigozhin , Vladimir Sokolovsky

An integrated photonic circuit architecture to perform a modified-convolution operation based on the Discrete Fractional Fourier Transform (DFrFT) is introduced. This is accomplished by utilizing two nonuniformly-coupled waveguide lattices…

Optics · Physics 2025-02-25 Kevin Zelaya , Mohammad-Ali Miri

In this letter, a fast Fourier transform (FFT)-enhanced low-complexity super-resolution sensing algorithm for near-field source localization with both angle and range estimation is proposed. Most traditional near-field source localization…

Signal Processing · Electrical Eng. & Systems 2024-11-26 Yuxiao Wu , Huizhi Wang , Yong Zeng

Deep cosmic microwave background polarization experiments allow a very precise internal reconstruction of the gravitational lensing signal in pricinple. For this aim, likelihood-based or Bayesian methods are typically necessary, where very…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-25 Martin Reinecke , Sebastian Belkner , Julien Carron

In this paper we propose a new design criterion and a new class of unitary signal constellations for differential space-time modulation for multiple-antenna systems over Rayleigh flat-fading channels with unknown fading coefficients.…

Information Theory · Computer Science 2008-05-12 Xinjia Chen , Kemin Zhou , Jorge Aravena

A unified treatment for fast and spectrally accurate evaluation of electrostatic potentials subject to periodic boundary conditions in any or none of the three spatial dimensions is presented. Ewald decomposition is used to split the…

Numerical Analysis · Mathematics 2022-08-24 Davood Saffar Shamshirgar , Joar Bagge , Anna-Karin Tornberg