High-order functional derivatives of the scattered field according to the permittivity-contrast function
| Autor: | Slimane Arhab, D. S. Anagnostou, Maminirina Joelson |
|---|---|
| Přispěvatelé: | Environnement Méditerranéen et Modélisation des Agro-Hydrosystèmes (EMMAH), Avignon Université (AU)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE) |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Permittivity
Scattering Applied Mathematics Mathematical analysis Scalar (mathematics) 0211 other engineering and technologies General Physics and Astronomy 02 engineering and technology 01 natural sciences [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation 010309 optics Computational Mathematics Model parameter Modeling and Simulation Functional derivatives 0103 physical sciences Permittivity-contrast function Functional derivative High order Benchmark data Higher order derivatives Reciprocity theorem Scattered electric field 021101 geological & geomatics engineering Mathematics |
| Zdroj: | Wave Motion Wave Motion, Elsevier, 2018, 83, pp.67-79. ⟨10.1016/j.wavemoti.2018.07.008⟩ |
| ISSN: | 0165-2125 1878-433X |
| DOI: | 10.1016/j.wavemoti.2018.07.008⟩ |
| Popis: | In this work, we propose to extend an approach to calculate at any order ( n ) , the functional derivative of the scattered field with respect to the permittivity-contrast function of a three-dimensional object. These derivatives obtained for different orders are used to perform an expansion of the data according to the studied model parameter. Its validity and convergence are tested throughout some numerical results obtained for a scalar scattering problem. In particular, we show that taking into account higher order derivatives improve drastically, the fitting of benchmark data generated by a well-known forward model. |
| Databáze: | OpenAIRE |
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