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Polarization is one of the basic properties of electromagnetic waves conveying valuable information in signal transmission and sensitive measurements. Conventional methods for advanced polarization control impose demanding requirements on…

In a companion paper, equations for partially molten media were derived using two-scale homogenization theory. One advantage of homogenization is that material properties, such as permeability and viscosity, readily emerge. A caveat is that…

Geophysics · Physics 2015-05-13 Gideon Simpson , Marc Spiegelman , Michael I. Weinstein

We propose an approach to extracting equivalent circuit models for waveguide-fed, resonant metamaterial elements, such as the complementary, electric inductive-capacitive element (cELC). From the scattering parameters of a single…

Applied Physics · Physics 2025-01-03 David R. Smith , Yeonghoon Noh , Insang Yoo , Divya Pande , Mohammad Ranjbar Nikkhah

We present in this paper an approach for computing the homogenized behavior of a medium that is a small random perturbation of a periodic reference material. The random perturbation we consider is, in a sense made precise in our work, a…

Analysis of PDEs · Mathematics 2010-05-24 Arnaud Anantharaman , Claude Le Bris

The design of large complex wave systems (filters, networks, vacuum-electronic devices, metamaterials, smart radio environments, etc.) requires repeated evaluations of the scattering parameters resulting from complex connections between…

Signal Processing · Electrical Eng. & Systems 2024-12-25 Hugo Prod'homme , Philipp del Hougne

In this work, we investigate a class of elliptic inverse problems and aim to simultaneously recover multiple inhomogeneous inclusions arising from two different physical parameters, using very limited boundary Cauchy data collected only at…

Numerical Analysis · Mathematics 2020-06-05 Yat Tin Chow , Fuqun Han , Jun Zou

We study reflection and transmission of waves in a random tight-binding system with absorption or gain for weak disorder, using a scattering matrix formalism. Our aim is to discuss analytically the effects of absorption or gain on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. Heinrichs

Generalized sampling is a recently developed linear framework for sampling and reconstruction in separable Hilbert spaces. It allows one to recover any element in any finite-dimensional subspace given finitely many of its samples with…

Numerical Analysis · Mathematics 2013-01-15 Ben Adcock , Anders C. Hansen , Clarice Poon

We present a new multivariate regression model for analysis and parameter estimation of gravitational waves observed from well but not perfectly modeled sources such as core-collapse supernovae. Our approach is based on a principal…

General Relativity and Quantum Cosmology · Physics 2014-12-17 William J. Engels , Raymond Frey , Christian D. Ott

A central aim in metamaterial research is to engineer sub-wavelength unit cells that give rise to desired effective-medium properties and parameters, such as a negative refractive index. Ideally one can disregard the details of the unit…

Mesoscale and Nanoscale Physics · Physics 2013-04-10 Ehsan Amooghorban , N. Asger Mortensen , Martijn Wubs

Vector retrieval systems exhibit significant performance variance across queries due to heterogeneous embedding quality. We propose a lightweight framework for predicting retrieval performance at the query level by combining quantization…

Information Retrieval · Computer Science 2025-07-09 Y. Du

We report a high through-put combinatorial approach to photonic metamaterial optimization. The new approach is based on parallel synthesis and consecutive optical characterization of large numbers of spatially addressable nano-fabricated…

Optics · Physics 2015-03-17 E. Plum , K. Tanaka , W. T. Chen , V. A. Fedotov , D. P. Tsai , N. I. Zheludev

This work introduces composed image retrieval to remote sensing. It allows to query a large image archive by image examples alternated by a textual description, enriching the descriptive power over unimodal queries, either visual or…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Bill Psomas , Ioannis Kakogeorgiou , Nikos Efthymiadis , Giorgos Tolias , Ondrej Chum , Yannis Avrithis , Konstantinos Karantzalos

Potential-based formulation with generalized Lorenz gauge can be used in the quantization of electromagnetic fields in inhomogeneous media. However, one often faces the redundancy of modes when finding eigenmodes from potential-based…

Optics · Physics 2023-01-10 Jie Zhu , Thomas E. Roth , Dong-Yeop Na , Weng Cho Chew

We study the task of retrieving relevant experiments given a query experiment. By experiment, we mean a collection of measurements from a set of `covariates' and the associated `outcomes'. While similar experiments can be retrieved by…

Machine Learning · Statistics 2014-02-20 Sohan Seth , John Shawe-Taylor , Samuel Kaski

This paper proposes a new framework to regularize the highly ill-posed and non-linear phase retrieval problem through deep generative priors using simple gradient descent algorithm. We experimentally show effectiveness of proposed algorithm…

Machine Learning · Computer Science 2018-08-20 Fahad Shamshad , Ali Ahmed

This work is a follow-up to our previous work "A numerical approach related to defect-type theories for some weakly random problems in homogenization" (preprint available on this archive). It extends and complements, both theoretically and…

Analysis of PDEs · Mathematics 2010-05-24 Arnaud Anantharaman , Claude Le Bris

Large-scale data collection by means of wireless sensor network and internet-of-things technology poses various challenges in view of the limitations in transmission, computation, and energy resources of the associated wireless devices.…

Signal Processing · Electrical Eng. & Systems 2017-09-25 Nikos Deligiannis , João F. C. Mota , Evangelos Zimos , Miguel R. D. Rodrigues

We present a general approach for the numerical calculation of the effective dielectric tensor of metamaterials and show that our formalism can be used to study metamaterials beyond the long wavelength limit. We consider a system composed…

Optics · Physics 2020-06-04 Lucila Juárez , Bernardo S. Mendoza , W. Luis Mochán

This paper pursues a twofold goal. First, we introduce and study in detail a new notion of variational analysis called generalized metric subregularity, which is a far-going extension of the conventional metric subregularity conditions. Our…

Optimization and Control · Mathematics 2024-06-21 Guoyin Li , Boris Mordukhovich , Jiangxing Zhu