Publications by Elias Per Joachim Le Boudec

Cartesian and spherical multipole expansions in anisotropic media

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

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, Nicolas Mora Parra, Elias Per Joachim Le Boudec, Emanuela Radici, Chaouki Kasmi

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

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

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

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

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

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

2023

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

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

2023

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

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

2022

A Time-Reversal Cavity for Electromagnetic Waves in Transmission Line Networks with Arbitrary Topology

Farhad Rachidi-Haeri, Marcos Rubinstein, Hamidreza Karami, Zhaoyang Wang, Elias Per Joachim Le Boudec

2022

Mathematical modeling of electromagnetic fields: From classical functions to Schwartz distributions to Colombeau generalized functions

Farhad Rachidi-Haeri, Elias Per Joachim Le Boudec

2022

A Frequency-Domain Analysis of a Time-Reversal Cavity for Electromagnetic Waves in Transmission Line Networks

Farhad Rachidi-Haeri, Hamidreza Karami, Zhaoyang Wang, Elias Per Joachim Le Boudec

Recently, a closed time-reversal cavity for electromagnetic waves was demonstrated and experimentally realized using a network of transmission lines. This paper presents an analysis in the frequency domain of the wave propagation characteristics that perta ...

IEEE2022