Multifrequency Imaging From Intensity-Only Data Using the Phaseless Data Distorted Rytov Iterative Method

Two multifrequency imaging algorithms are presented for the reconstruction of unknown objects when only the intensity measurement of the total field is available using the phaseless data distorted Rytov iterative method. The first one uses all the frequencies simultaneously to form a matrix equation and only deals with lossless objects. The second one can reconstruct both lossless and lossy objects, in which a low frequency is utilized to guarantee convergence. Then the reconstructed result is used as the initial estimate for a higher frequency. Repeat this process by gradually increasing the working frequency until high imaging quality is achieved. Numerical and experimental results are presented to show the high efficiency of the proposed algorithms.

[1]  Lorenzo Crocco,et al.  Phaseless imaging with experimental data: facts and challenges. , 2008, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  W. Chew,et al.  Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method. , 1990, IEEE transactions on medical imaging.

[3]  C. Eyraud,et al.  Free space experimental scattering database continuation: experimental set-up and measurement precision , 2005 .

[4]  Lorenzo Crocco,et al.  Faithful non-linear imaging from only-amplitude measurements of incident and total fields. , 2007, Optics express.

[5]  M. Pastorino,et al.  An Inexact Newton Method for Microwave Reconstruction of Strong Scatterers , 2006, IEEE Antennas and Wireless Propagation Letters.

[6]  Gregory Beylkin,et al.  Distorted-wave born and distorted-wave rytov approximations , 1985 .

[7]  LianLin Li,et al.  Tomographic Reconstruction Using the Distorted Rytov Iterative Method With Phaseless Data , 2008, IEEE Geoscience and Remote Sensing Letters.

[8]  Lorenzo Crocco,et al.  Inverse scattering from phaseless measurements of the total field on a closed curve. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[9]  Anthony J. Devaney,et al.  Inverse scattering in inhomogeneous background media: II. Multi-frequency case and SVD formulation , 2004 .

[10]  P. M. Berg,et al.  Imaging of biomedical data using a multiplicative regularized contrast source inversion method , 2002 .

[11]  W. Chew,et al.  Low-frequency detection of two-dimensional buried objects using high-order extended Born approximations , 2004 .

[12]  Anthony J. Devaney,et al.  Tomographic reconstruction from optical scattered intensities , 1992 .

[13]  Michael Oristaglio,et al.  Inversion Procedure for Inverse Scattering within the Distorted-Wave Born Approximation , 1983 .

[14]  Rocco Pierri,et al.  Inverse scattering of dielectric cylinders by a second-order Born approximation , 1999, IEEE Trans. Geosci. Remote. Sens..

[15]  Anthony J. Devaney,et al.  Phase-retrieval and intensity-only reconstruction algorithms for optical diffraction tomography , 1993 .

[16]  P.M. van den Berg,et al.  Microwave-tomographic imaging of the high dielectric-contrast objects using different image-reconstruction approaches , 2005, IEEE Transactions on Microwave Theory and Techniques.

[17]  Takashi Takenaka,et al.  Reconstruction algorithm of the refractive index of a cylindrical object from the intensity measurements of the total field , 1997 .

[18]  Kamal Belkebir,et al.  Multiple-frequency distorted-wave Born approach to 2D inverse profiling , 2001 .

[19]  Amélie Litman,et al.  Theoretical and computational aspects of 2-D inverse profiling , 2001, IEEE Trans. Geosci. Remote. Sens..

[20]  Siyuan Chen,et al.  Inverse scattering of two-dimensional dielectric objects buried in a lossy earth using the distorted Born iterative method , 2001, IEEE Trans. Geosci. Remote. Sens..