Affiliations: [a] Department of Electrical and Computer Engineering,
Michigan State University, East Lansing, MI 48824, USA | [b] College of Engineering, Michigan State University,
East Lansing, MI 48824, USA
Correspondence:
[*]
Corresponding author: Kavitha Arunachalam, 2120 Engineering
Building, Department of Electrical and Computer Engineering, Michigan State
University, East Lansing, MI 48824, USA. Tel.: +1 517 432 1794; Fax: +1 517 353
1980; E-mail: kavithaa@msu.edu
Abstract: Several microwave tomography techniques have been developed to
reconstruct the spatial distribution of the electrical property of penetrable
objects. These techniques rely on solving the ill-posed nonlinear inverse
scattering problem using field measurements acquired from multiple views at
multiple frequencies and incorporate prior information during inversion to
obtain a stable solution. Such techniques often employ a linear or circular
antenna array with individual elements operating as a transceiver to acquire
multiple field measurements for imaging. In this paper a tomographic inversion
technique with single fixed transmitter and a deformable mirror is proposed as
an alternative to the conventional tomography system. Limitations arising from
the use of a single transmitter for acquiring multi-view data for the ill-posed
problem are overcome by using a continuously deformable mirror with reflective
coating. The continuously deformable mirror controlled by an underlying
actuator circuit steers the incident field towards the scatterer for multi-view
field measurements. A theoretical analysis of the proposed microwave tomography
technique including system design, theory, operating principles and selection
of optimal mirror shapes to obtain information rich field measurements are
discussed in this paper. Computational feasibility of the proposed inverse
scattering technique is investigated for two-dimensional penetrable dielectric
scatterer in the presence of measurement noise.
