TY - GEN
T1 - A three-dimensional microwave imaging technique combining inverse equivalent current and finite element methods
AU - Kihc, Emre
AU - Eibert, Thomas F.
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014/10/17
Y1 - 2014/10/17
N2 - An approach combining boundary integral and finite element methods for imaging of three-dimensional dielectric objects is presented. Based on the equivalence principle, the problem is decomposed into two parts: A radiation and a cavity problem. While the radiation problem is linear, the latter one is non-linear. A boundary integral formulation is utilized to solve the radiation problem and the cavity problem is solved via a finite element method. Since this part of the problem is nonlinear and ill-posed, a Gauss-Newton approach equipped with a Krylov subspace method is employed to reconstruct the material properties in the sense of regularization. Promising reconstructions are obtained.
AB - An approach combining boundary integral and finite element methods for imaging of three-dimensional dielectric objects is presented. Based on the equivalence principle, the problem is decomposed into two parts: A radiation and a cavity problem. While the radiation problem is linear, the latter one is non-linear. A boundary integral formulation is utilized to solve the radiation problem and the cavity problem is solved via a finite element method. Since this part of the problem is nonlinear and ill-posed, a Gauss-Newton approach equipped with a Krylov subspace method is employed to reconstruct the material properties in the sense of regularization. Promising reconstructions are obtained.
UR - http://www.scopus.com/inward/record.url?scp=84919754874&partnerID=8YFLogxK
U2 - 10.1109/URSIGASS.2014.6929148
DO - 10.1109/URSIGASS.2014.6929148
M3 - Conference contribution
AN - SCOPUS:84919754874
T3 - 2014 31th URSI General Assembly and Scientific Symposium, URSI GASS 2014
BT - 2014 31th URSI General Assembly and Scientific Symposium, URSI GASS 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 31st General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2014
Y2 - 16 August 2014 through 23 August 2014
ER -