On the Boundedness, Minimality, and Uniqueness of Constrained Optimal Solutions for an Inverse Radiation Problem in Metamaterial Media
Khodja, M. R.
arXiv, 1810.00582 / Harvested from arXiv
Text on arXiv
Lower boundedness, global minimality, and uniqueness are established for the solutions of a physically-motivated class of inverse electromagnetic-radiation problems in (meta)material backgrounds. The radiating source is reconstructed by minimizing its $L^{2}$-norm subject to a prescribed radiated field and a vanishing reactive power. The minimization of the $L^{2}$-norm constitutes a useful criterion for the minimization of the physical resources of the source. The reactive power is the power cycling through the inductive and capacitive parts of the source and its vanishing corresponds to the maximization of the power transmitted in the far-field.
Publié le : 2018-10-01
Classification:  Mathematical Physics 
@article{1810.00582,
     author = {Khodja, M. R.},
     title = {On the Boundedness, Minimality, and Uniqueness of Constrained Optimal
  Solutions for an Inverse Radiation Problem in Metamaterial Media},
     journal = {arXiv},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1810.00582}
}

Khodja, M. R. On the Boundedness, Minimality, and Uniqueness of Constrained Optimal
  Solutions for an Inverse Radiation Problem in Metamaterial Media. arXiv, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/1810.00582/