Complexity reduction in multiplexing nonlinear diffraction tomography

It has been well known that nonlinear diffraction tomography (inverse scattering imaging) needs a long CPU run time and large memory requirements. Recently, multiplexing schemes have been introduced to reduce the computational complexity of the nonlinear inverse scattering algorithms by a factor proportional to the number of the transmitters used in the imaging system. However, the results came with some errors from the Frechet transposed operator due to the non-optimal orthogonal codes used in the transmitters. This paper presents a multiplexing scheme to the Frechet transposed operator in time-domain distorted Born iterative method without introducing errors to the Frechet transposed operator. The comparison study between the original non-multiplexing DBIM and the new proposed multiplexing DBIM will be presented.