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In many engineering and applied science domains, high-dimensional nonlinear filtering is still a challenging problem. Recent advances in score-based diffusion models offer a promising alternative for posterior sampling but require repeated…

Machine Learning · Computer Science 2025-09-25 Zhijun Zeng , Weiye Gan , Junqing Chen , Zuoqiang Shi

We propose the synthesis of frequency dispersion of layered structures based on the design of multi-ordered optical filters using nanocircuit concepts. Following the well known insertion loss method commonly employed in the design of…

Optics · Physics 2017-04-05 Yue Li , Iñigo Liberal , Nader Engheta

In this paper, we propose a shape optimization pipeline for propeller blades, applied to naval applications. The geometrical features of a blade are exploited to parametrize it, allowing to obtain deformed blades by perturbating their…

Optimization and Control · Mathematics 2024-01-17 Anna Ivagnes , Nicola Demo , Gianluigi Rozza

The perfectly matched layer (PML) is a very popular tool in the truncation of wave scattering in unbounded domains. In Chandler-Wilde & Monk et al. 2009, the author proposed a conjecture that for scattering problems with rough surfaces, the…

Numerical Analysis · Mathematics 2022-11-03 Ruming Zhang

This paper describes a reduced-order quasi-geostrophic coupled ocean-atmosphere model that allows for an arbitrary number of atmospheric and oceanic modes to be retained in the spectral decomposition. The modularity of this new model allows…

Atmospheric and Oceanic Physics · Physics 2017-12-19 Lesley De Cruz , Jonathan Demaeyer , Stéphane Vannitsem

We explore the potential use of complementary split ring resonators (csrr's) and complementary spirals of two and three turns (csr2 and csr3) to design very compact waveguide filters. We demonstrate its passband response in an experimental…

Optics · Physics 2014-03-21 Laura Maria Pulido Mancera , Juan Domingo Baena Doello

This paper suggests a few novel Cholesky-based square-root algorithms for the maximum correntropy criterion Kalman filtering. In contrast to the previously obtained results, new algorithms are developed in the so-called {\it condensed} form…

Optimization and Control · Mathematics 2023-10-31 Maria Kulikova

Efforts to achieve better accuracy in numerical relativity have so far focused either on implementing second order accurate adaptive mesh refinement or on defining higher order accurate differences and update schemes. Here, we argue for the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Luis Lehner , Steven L. Liebling , Oscar Reula

Collaborative filtering is one of the most used approaches for providing recommendations in various online environments. Even though collaborative recommendation methods have been widely utilized due to their simplicity and ease of use,…

Information Retrieval · Computer Science 2018-04-25 Nikolaos Polatidis , Christos K. Georgiadis

The atoms moving within the waveguide with a critical frequency higher than the resonant frequency of atoms are suggested for obtaining the "slow light". Due to the absence of the resonant mode in the guide the atoms conserves excitation…

Optics · Physics 2007-05-23 G. G. Kozlov

We introduce a new class of "filtered" schemes for some first order non-linear Hamilton-Jacobi-Bellman equations. The work follows recent ideas of Froese and Oberman (SIAM J. Numer. Anal., Vol 51, pp.423-444, 2013). The proposed schemes are…

Numerical Analysis · Mathematics 2016-02-19 Olivier Bokanowski , Maurizio Falcone , Smita Sahu

This work presents a new design for broadband absorption of low-frequency acoustic waves using a thin coating made of subwavelength acoustic resonators arranged periodically on a reflective surface. We first study the associated scattering…

Numerical Analysis · Mathematics 2026-03-13 Habib Ammari , Yu Gao , Lara Vrabac

Waves incident to a highly scattering medium are incapable of penetrating deep into the medium due to the diffusion process induced by multiple scattering. This poses a fundamental limitation to optically imaging, sensing, and manipulating…

Waveguides are fundamental components in communication systems. However, they suffer from reflection and scattering losses at sharp routes or defects. The breakthrough in developing topological photonic crystals (PhCs) provides promising…

Applied Physics · Physics 2024-01-03 Rui Zhou , Minglin L. N. Chen , Xingtong Shi , Yan Ren , Zihao Yu , Yu Tian , Y. Liu , Hai Lin

We consider the use of multipreconditioning, which allows for multiple preconditioners to be applied in parallel, on high-frequency Helmholtz problems. Typical applications present challenging sparse linear systems which are complex…

Numerical Analysis · Mathematics 2025-05-19 Niall Bootland , Tyrone Rees

A set of semi-analytical techniques based on Fourier analysis is used to solve wave scattering problems in variously shaped waveguides with varying normal admittance boundary conditions. Key components are newly developed conformal mapping…

Mathematical Physics · Physics 2015-06-02 Anders Andersson , Borje Nilsson , Thomas Biro

In the last decade, the perfectly matched layer (PML) approach has proved a flexible and accurate method for the simulation of waves in unbounded media. Most PML formulations, however, usually require wave equations stated in their standard…

Numerical Analysis · Mathematics 2010-01-05 Marcus J. Grote , Imbo Sim

The nonlinear saturation of the tearing mode is revisited in slab geometry by taking into account higher-order harmonics in the outer solution. The general formalism for tackling this problem in the case of a vanishing current gradient at…

Plasma Physics · Physics 2009-11-13 N. Arcis , N. F. Loureiro , F. Militello

We introduce optical polarization-insensitive high pass filters based on total internal reflection of light at the interface of two dielectric media (1D) and Bragg reflection of a multilayer stack (2D) in transmission mode. The wavevectors…

Optics · Physics 2019-11-26 Ali Pour Mohammad Qoli Vafa , Parisa Karimi , Amin Khavasi

A comprehensive study of methods of maximizing Q for slow-wave coplanar waveguides is described. In addition to the widths of the signal conductor and coplanar ground lines and the distance between them, the length, spacing and stacking of…

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