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Physical optics inverse diffraction

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1 Author(s)
Lewis, R. ; New York University, New York, NY, USA

A general method for solving the inverse diffraction problem is presented. It is based on an identity of Bojarski which states thatgamma(x)andGamma(p)are a Fourier transform pair. Heregamma(x)is the characteristic function of the target (gamma=1inside the target,gamma = 0outside),p = (2omega/c)J,omegais the frequency,Jis a unit vector specifying the aspect, andGamma(P)can be obtained by measurement of the backscattered electromagnetic far field at frequencyomega = (c/2)|P|and aspectJ=|p|^{-1}p. If data is obtained in any subsetDofpspace, the method yields partial or complete information about the target geometry. It is used to rederive earlier results very simply and to obtain a significant new solution, in which the target geometry is completely determined using frequencies only in a practical frequency band and aspects in a narrow cone.

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Antennas and Propagation, IEEE Transactions on  (Volume:17 ,  Issue: 3 )