Implications in the interpretation of plane-wave expansions in lossy media and the need for a generalized definition
| العنوان: | Implications in the interpretation of plane-wave expansions in lossy media and the need for a generalized definition |
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| المؤلفون: | Andrea Cozza, Benoit Derat, Lyazid Aberbour |
| المساهمون: | Laboratoire Génie électrique et électronique de Paris (GeePs), Université Paris-Sud - Paris 11 (UP11)-Université Pierre et Marie Curie - Paris 6 (UPMC)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), ART-Fi SAS |
| المصدر: | Wave Motion Wave Motion, 2017, ⟨10.1016/j.wavemoti.2017.11.003⟩ Wave Motion, Elsevier, 2017, ⟨10.1016/j.wavemoti.2017.11.003⟩ |
| بيانات النشر: | Elsevier BV, 2018. |
| سنة النشر: | 2018 |
| مصطلحات موضوعية: | Plane wave, General Physics and Astronomy, Geometry, 02 engineering and technology, 01 natural sciences, symbols.namesake, 0103 physical sciences, lossy media, Plane-wave expansion, Mathematics, Physical plane, 010302 applied physics, Laplace transform, Applied Mathematics, Isotropy, Mathematical analysis, Dissipation, 021001 nanoscience & nanotechnology, near-field scans, [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, Computational Mathematics, Dipole, Fourier transform, Modeling and Simulation, symbols, Plane wave expansion, 0210 nano-technology |
| الوصف: | International audience; Plane-wave expansions (PWEs) based on Fourier transform and their physical interpretation are discussed for the case of homogeneous and isotropic lossy media. Albeit being mathematically correct, standard Fourier-based definition leads to nonphysical properties, such as the absence of homogeneous plane waves, lack of dissipation along transversal directions and inaccurate identification of single plane waves. Generalizing the PWE definition using Laplace transform, which amounts to switching to complex spectral variables, is shown to solve these issues, reinstating physical consistency. This approach no longer leads to a unique PWE for a field distribution, as it allows an infinite number of equivalent definitions, implying that the interpretation of the individual components of a PWE as physical plane waves does not appear as justified. The multiplicity of the generalized definitions is illustrated by applying it to the near-field radiation of an elementary electric dipole, for different choices of Laplace cuts, showing the main differences in the generalized PWEs. |
| تدمد: | 0165-2125 1878-433X |
| DOI: | 10.1016/j.wavemoti.2017.11.003 |
| DOI: | 10.1016/j.wavemoti.2017.11.003⟩ |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::220afd90a3fe0e57ae5869863c1ef3da https://doi.org/10.1016/j.wavemoti.2017.11.003 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....220afd90a3fe0e57ae5869863c1ef3da |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 01652125 1878433X |
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| DOI: | 10.1016/j.wavemoti.2017.11.003 |