Publications de Elias Per Joachim Le Boudec

Cartesian and spherical multipole expansions in anisotropic media

Marcos Rubinstein, Farhad Rachidi-Haeri, Elias Per Joachim Le Boudec, Jose Felix Vega Stavro, Thomas Chaumont

The multipole expansion, a ubiquitous tool in a variety of physical problems, can be formulated in spherical and Cartesian coordinates. By constructing an explicit map linking both formulations in isotropic media, we discover a lack of equivalence between ...

Springer Science and Business Media LLC2025

Time-reversed electromagnetic fields in anisotropic media

Farhad Rachidi-Haeri, Elias Per Joachim Le Boudec

Electromagnetic time reversal is commonly used for field imaging and focusing. This Letter builds upon the concept of the time -reversal cavity, which constitutes the main theoretical framework of time reversal theory. We study the behavior of the fields u ...

Optica Publishing Group2024

Metamaterial-enabled localization of electrostatic discharges using time reversal

Elias Per Joachim Le Boudec

Protection against electrostatic discharges requires knowledge of the discharge-current path. Thanks to the time-reversal technique combined with a GHz-range resonant metalens, we present an experimental gateway to imaging subwavelength interference source ...

Institute of Electrical and Electronics Engineers Inc.2024

Spatiotemporal energy‐density distribution of time‐reversed electromagnetic fields

Farhad Rachidi-Haeri, Marcos Rubinstein, Hamidreza Karami, Elias Per Joachim Le Boudec, Nicolas Mora Parra

Time reversal exploits the invariance of electromagnetic wave propagation in reciprocal and lossless media to localize radiating sources. Time-reversed measurements are back-propagated in a simulated domain and converge to the unknown source location. The ...

2024

The time-domain Cartesian multipole expansion of electromagnetic fields

Farhad Rachidi-Haeri, Marcos Rubinstein, Elias Per Joachim Le Boudec, Nicolas Mora Parra, Chaouki Kasmi, Emanuela Radici

Time-domain solutions of Maxwell’s equations in homogeneous and isotropic media are paramount to studying transient or broadband phenomena. However, analytical solutions are generally unavailable for practical applications, while numerical solutions are co ...

Nature Publishing Group2024

Semi-analytical gray-box modeling of antennas in the time domain and application to impulse radiating antennas

Marcos Rubinstein, Farhad Rachidi-Haeri, Elias Per Joachim Le Boudec, Jose Felix Vega Stavro

Impulse radiating antennas, proposed by C. E. Baum in 1989 [1], allow to generate impulse-like, broadband, high-amplitude electromagnetic fields. Applications include electromagnetic compatibility testing and remote sensing [2,3]. Analytical and semi-analy ...

SciTech Publishing Inc.2024

Singular Behavior Analysis of Green’s Functions in Uniaxial Media Using Ordinary Differential Equations

Juan Ramon Mosig, Marcos Rubinstein, Farhad Rachidi-Haeri, Elias Per Joachim Le Boudec, Jose Felix Vega Stavro

We derive the electric and magnetic Green's functions in homogeneous dielectric uniaxial media by casting the problem as ordinary differential equations. These Green's functions feature an apparent singularity on the medium's distinguished axis. Using rigo ...

International Union of Radio Science (URSI)2023

Elias Per Joachim Le Boudec

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Cartesian and spherical multipole expansions in anisotropic media

Time-reversed electromagnetic fields in anisotropic media

Metamaterial-enabled localization of electrostatic discharges using time reversal

Spatiotemporal energy‐density distribution of time‐reversed electromagnetic fields

The time-domain Cartesian multipole expansion of electromagnetic fields

Semi-analytical gray-box modeling of antennas in the time domain and application to impulse radiating antennas

Singular Behavior Analysis of Green’s Functions in Uniaxial Media Using Ordinary Differential Equations

Pynoza: A Python framework for the time-domain multipole expansion of electromagnetic fields in Cartesian coordinates

On the behavior of Green’s function along the distinguished axis of uniaxial media

Semi-Analytical Gray-Box Modeling of an Impulse Radiating Antenna

Cartesian and spherical multipole expansions in anisotropic media

Spatiotemporal energy‐density distribution of time‐reversed electromagnetic fields

The time-domain Cartesian multipole expansion of electromagnetic fields

Semi-analytical gray-box modeling of antennas in the time domain and application to impulse radiating antennas

Singular Behavior Analysis of Green’s Functions in Uniaxial Media Using Ordinary Differential Equations

Pynoza: A Python framework for the time-domain multipole expansion of electromagnetic fields in Cartesian coordinates

Time-reversed electromagnetic fields in anisotropic media

Metamaterial-enabled localization of electrostatic discharges using time reversal

Semi-Analytical Gray-Box Modeling of an Impulse Radiating Antenna

On the behavior of Green’s function along the distinguished axis of uniaxial media