Fast Jacobian Matrix Formulation for Microwave Tomography Applications
Paper in proceeding, 2021

We have developed a new technique for computing the Jacobian matrix for microwave tomography systems which is orders of magnitude faster than conventional approaches. It exploits concepts from the nodal adjoint method and previous observations that rows of the matrix can be plotted over the imaging domain to produce sensitivity maps associated with specific transmit/receive antenna pairs. It also requires that the forward solutions and parameter reconstruction distributions be represented on the same grid or mesh. In this way, it computes full rows of the matrix simultaneously via a simple vector-vector multiplication of the forward solutions associated with sources broadcasting from both the designated transmit and receive antennas times a scalar constant. The time savings is substantial and is viable for both 2D and 3D applications.

Jacobian

adjoint method

tomography

Author

Samar Hosseinzadegan

Chalmers, Electrical Engineering, Signal Processing and Biomedical Engineering, Biomedical Electromagnetics

Shireen D. Geimer

Thayer School of Engineering at Dartmouth

Andreas Fhager

Chalmers, Electrical Engineering, Signal Processing and Biomedical Engineering, Biomedical Electromagnetics

Mikael Persson

Chalmers, Electrical Engineering, Signal Processing and Biomedical Engineering

Paul M Meaney

Chalmers, Electrical Engineering, Signal Processing and Biomedical Engineering, Biomedical Electromagnetics

15th European Conference on Antennas and Propagation, EuCAP 2021

9411451

15th European Conference on Antennas and Propagation, EuCAP 2021
Dusseldorf, Germany,

Subject Categories

Computational Mathematics

Signal Processing

Computer Science

DOI

10.23919/EuCAP51087.2021.9411451

More information

Latest update

8/24/2021