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When performing radio detection of ultra-high energy astroparticles, the planar wavefront model is often used as a first step to evaluate the arrival direction of primary particles. This model estimates the direction by adjusting the…

Instrumentation and Methods for Astrophysics · Physics 2025-03-28 Arsène Ferrière , Simon Prunet , Aurélien Benoit-Lévy , Marion Guelfand , Kumiko Kotera , Matías Tueros

The active element pattern method is widely employed in beam pattern synthesis of array antenna to account for mutual coupling between antenna elements. Calculating the active element patterns for large number of array requires full-wave…

Numerical Analysis · Mathematics 2025-11-04 Jeong-Wan Lee , Sung-Jun Yang

This paper presents a simple and effective wideband method for the determination of material properties, such as the complex index of refraction and the complex permittivity and permeability. The method is explicit (non-iterative) and…

Instrumentation and Detectors · Physics 2010-12-02 Khattiya Chalapat , Kari Sarvala , Jian Li , G. S. Paraoanu

We construct one and two parameter deformations of the two dimensional Chebyshev polynomials with simple recurrence coefficients, following the algorithm in [3]. Using inverse scattering techniques, we compute the corresponding…

Classical Analysis and ODEs · Mathematics 2012-09-20 Jeffrey S. Geronimo , Plamen Iliev

Empirical path loss models are defined for a specific antenna system used during measurements and characterized by a particular radiation pattern and main lobe beam width. In this paper, we propose a novel approach to modifying such a model…

In a companion paper we presented the theory for an antenna pattern measuring technique that uses (rather than mitigates) the properties of a multipath environment. Here we use measurements in a typical home garage to experimentally…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Daniel D. Stancil , Alexander R. Allen

Modern radio telescopes strongly rely on accurate computational electromagnetic tools for "beam" models. Especially for densely-packed aperture array radio telescopes, the only feasible way to produce accurate models of the individual…

Instrumentation and Methods for Astrophysics · Physics 2023-06-13 Pietro Bolli , David Davidson , Maria Grazia Labate , Stefan J. Wijnholds

Phase retrieval problems in antenna measurements arise when a reference phase cannot be provided to all measurement locations. Phase retrieval algorithms require sufficiently many independent measurement samples of the radiated fields to be…

Signal Processing · Electrical Eng. & Systems 2022-06-24 Josef Knapp , Alexander Paulus , Jonas Kornprobst , Uwe Siart , Thomas F. Eibert

Imaging objects with high relative permittivity and large electrical size remains a challenging problem in the field of inverse scattering. In this work we present a phaseless inverse scattering method that can accurately image and…

Applied Physics · Physics 2021-10-08 Amartansh Dubey , Samruddhi Deshmukh , Li Pan , Xudong Chen , Ross Murch

Faraday rotation measure (RM) synthesis is an important tool to study and analyze galactic and extra-galactic magnetic fields. Since there is a Fourier relation between the Faraday dispersion function and the polarized radio emission, full…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Feng Li , Shea Brown , Tim J. Cornwell , Frank de Hoog

Bistatic radar measurements offer unique spatial diversity and enhanced target characterization capabilities, rendering them increasingly vital for contemporary sensing application research. The reliability of such measurements is…

Consider the task of locating an unknown target point using approximate distance queries: in each round, a reconstructor selects a query point and receives a noisy version of its distance to the target. This problem arises naturally in…

Machine Learning · Computer Science 2025-11-11 Shay Moran , Elizaveta Nesterova

This letter presents a method for synthesizing equiripple MIMO transmit beampatterns using Chebyshev approximation. The MIMO beampattern is represented as a non-negative real-valued trigonometric polynomial where the $\ell^{\text{th}}$…

Signal Processing · Electrical Eng. & Systems 2025-06-05 David A. Hague , David G. Felton

We present a new approach for image reconstruction and weak lensing measurements with interferometers. Based on the shapelet formalism presented in Refregier (2001), object images are decomposed into orthonormal Hermite basis functions. The…

Astrophysics · Physics 2009-11-06 Tzu-Ching Chang , Alexandre Refregier

This paper presents a contactless measurement method for antenna radiation efficiency estimation within reverberation chambers (RCs). This method does not require to connect any analyzer to the antenna under test (AUT). The AUT radiation…

Applied Physics · Physics 2021-12-24 Wafa Krouka , François Sarrazin , Julien de Rosny , Adnane Labdouni , Elodie Richalot

This paper investigates the shape reconstructions of sub-wavelength objects from near-field measurements in transverse electromagnetic scattering. This geometric inverse problem is notoriously ill-posed and challenging. We develop a novel…

Mathematical Physics · Physics 2023-05-03 M. H. Ding , H. Y. Liu , G. H. Zheng

Very inclined extensive air showers (EAS), with both down-going and up-going trajectories, are particularly targeted by the next generation of extended radio arrays, such as GRAND. Methods to reconstruct the incoming direction, core…

Instrumentation and Methods for Astrophysics · Physics 2022-09-21 Valentin Decoene , Olivier Martineau-Huynh , Matìas Tueros , Simon Chiche

Context: Radio interferometers measure frequency components of the sky brightness, modulated by the gains of the individual radio antennas. Due to atmospheric turbulence and variations in the operational conditions of the antennas these…

Instrumentation and Methods for Astrophysics · Physics 2023-10-25 Jakob Roth , Philipp Arras , Martin Reinecke , Richard A. Perley , Rüdiger Westermann , Torsten A. Enßlin

We study a single photon transmission through 1D N- qubit chain. The qubits are supposed to be identical with equal distance between neighbors. We express the transfer matrix of N- qubit chain in terms of Chebyshev polynomials, which allows…

Mesoscale and Nanoscale Physics · Physics 2021-02-16 Ya. S. Greenberg , A. A. Shtygashev , A. G. Moiseev

We present a method to reconstruct the longitudinal profile of electrons in showers using Cherenkov telescopes. We show how the Cherenkov light collected by an array of telescopes can be transformed into the number of electrons as a…

High Energy Astrophysical Phenomena · Physics 2022-09-12 Andrés G. Delgado Giler , Vitor de Souza