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Volume 6, Issue 1
Using Reduced Meshes for Simulation of the Localization of Small Electromagnetic Inhomogeneities in a 3D Bounded Domain

M. Asch & S. M. Mefire

Int. J. Numer. Anal. Mod., 6 (2009), pp. 50-88.

Published online: 2009-06

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  • Abstract

We are concerned in this work with simulations of the localization of a finite number of small electromagnetic inhomogeneities contained in a three-dimensional bounded domain. Typically, the underlying inverse problem considers the time-harmonic Maxwell equations formulated in electric field in this domain and attempts, from a finite number of boundary measurements, to localize these inhomogeneities. Our simulations are based on an approach that combines an asymptotic formula for perturbations in the electromagnetic fields, a suited inversion process, and finite element meshes derived from a non-standard discretization process of the domain. As opposed to a recent work, where the usual discretization process of the domain was employed in the computations, here we localize inhomogeneities that are one order of magnitude smaller.

  • Keywords

Inverse problems, Maxwell equations, electric fields, inhomogeneities, Current Projection method, MUSIC method, FFT, edge elements, numerical measurements, composite numerical integrations.

  • AMS Subject Headings

65N21, 65N30, 78A25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-6-50, author = {Asch , M. and Mefire , S. M.}, title = {Using Reduced Meshes for Simulation of the Localization of Small Electromagnetic Inhomogeneities in a 3D Bounded Domain}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2009}, volume = {6}, number = {1}, pages = {50--88}, abstract = {

We are concerned in this work with simulations of the localization of a finite number of small electromagnetic inhomogeneities contained in a three-dimensional bounded domain. Typically, the underlying inverse problem considers the time-harmonic Maxwell equations formulated in electric field in this domain and attempts, from a finite number of boundary measurements, to localize these inhomogeneities. Our simulations are based on an approach that combines an asymptotic formula for perturbations in the electromagnetic fields, a suited inversion process, and finite element meshes derived from a non-standard discretization process of the domain. As opposed to a recent work, where the usual discretization process of the domain was employed in the computations, here we localize inhomogeneities that are one order of magnitude smaller.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/756.html} }
TY - JOUR T1 - Using Reduced Meshes for Simulation of the Localization of Small Electromagnetic Inhomogeneities in a 3D Bounded Domain AU - Asch , M. AU - Mefire , S. M. JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 50 EP - 88 PY - 2009 DA - 2009/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/756.html KW - Inverse problems, Maxwell equations, electric fields, inhomogeneities, Current Projection method, MUSIC method, FFT, edge elements, numerical measurements, composite numerical integrations. AB -

We are concerned in this work with simulations of the localization of a finite number of small electromagnetic inhomogeneities contained in a three-dimensional bounded domain. Typically, the underlying inverse problem considers the time-harmonic Maxwell equations formulated in electric field in this domain and attempts, from a finite number of boundary measurements, to localize these inhomogeneities. Our simulations are based on an approach that combines an asymptotic formula for perturbations in the electromagnetic fields, a suited inversion process, and finite element meshes derived from a non-standard discretization process of the domain. As opposed to a recent work, where the usual discretization process of the domain was employed in the computations, here we localize inhomogeneities that are one order of magnitude smaller.

Asch , M. and Mefire , S. M.. (2009). Using Reduced Meshes for Simulation of the Localization of Small Electromagnetic Inhomogeneities in a 3D Bounded Domain. International Journal of Numerical Analysis and Modeling. 6 (1). 50-88. doi:
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