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Correction to: "Novel diffraction tomographic algorithm for imaging two-dimensional targets buried under a lossy earth"

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2 Author(s)
Tie Jun Cui ; Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA ; Weng Cho Chew

The paper by T. J. Cui and W. C. Chew, IEEE Trans. Geosci. Remote Sensing, vol. 38, p.2033-41 (2000) is corrected. The authors, in that paper, defined the branch cut of K/sub ay/ and k/sub by/ in an equation (7) as Re(k/sub ay/,/sub by/)/spl ges/0 and Im(k/sub ay/,/sub by/)/spl ges/0 to make the Sommerfeld-like integral in another equation(5) satisfy the radiation condition. In the inverse-Fourier expression of yet another equation (24), however, they had to choose the branch cut of k/sub by/ in a different way, where Re(k/sub by/)/spl ges/O and Im(k/sub ay/,/sub by/)/spl les/, so that the integral in this equation can be convergent. Hence, the k/sub by/ in equation (27) must be set in different branch cuts. Although such a procedure gave correct reconstruction results, the mathematical interpretation was confusing. In this correspondence, the authors now modify the mathematical interpretation so that it is clear and easily understood.

Published in:

IEEE Transactions on Geoscience and Remote Sensing  (Volume:39 ,  Issue: 2 )