We present here some numerical and experimental results of 2D object
reconstruction in microwave tomography . We illuminate an object with
an electromagnetic incident field, and from the scattered field, we
can reconstruct 2D cross-section of the object.
The domain D is a square of 3L x 3L (L is the wavelengh corresponding
to a frequency of 2.45GHz). D is discritized under 29 x 29 square
cells, and the distance between the receivers and the center of the
object is 9L. The scattered field is measured on 29 receivers and
for 29 different illuminations. More informations can be found in
the paper .
Reconstruction of profile P3 ( cf. Thesis
The object is made by 2 concentric square cylinders. The outer cylinder
has a side of 2L and a complex permittivity of 1.3 + 0.4i, while the
inner cylinder has a side of L and a complex permittivity of 1.6 +
0.2i. This object is also used in [van den Berg and Kleinman, Inverse
Problems, 11, 1995]. We compute different reconstructions of this
profile, using a Conjugate Gradient algorithm and different regularization
You can see the results (with images
and animated GIF).
Results presented in this section are provided courtesy by the Rome
Laboratory, Electromagnetics & Reliability Directorate, 31 Grenier
Street, Hanscom AFB, MA 01731-3010. More informations can be found
in the paper [Coté, IM-41(2):185-192, 1992].
Reconstruction of a polystyrene square cylinder
The value of the real part of the complex permittivity of the polystyrene
object is 1.03 while the imaginary part is null. The object has a
size of 11.2 cm and the frequency used is 10 GHz. The domain is discretized
into 29x29 square cells of size 5.3 mm. We have a data set including
6 illumination angles for 351 measures.
Here are the results.