Margaret Cheney and Clifford J Nolan 2004 Inverse Problems 20 507 doi:10.1088/0266-5611/20/2/013
Margaret Cheney1 and Clifford J Nolan2
Show affiliationsThis paper develops a method for forming a synthetic-aperture image of a flat surface seen through a homogeneous layer of a material that is dispersive, i.e., its wave speed varies with frequency. We outline first a simplified scalar model for electromagnetic wave propagation in a dispersive medium; the resulting equation could also be used for acoustics. We show that the backscattered signal can be viewed as a Fourier integral operator applied to the ground reflectivity function. The reconstruction method, which is based on backprojection, can be used for arbitrary sensor paths and corrects for the radiated beam pattern, the source waveform and geometrical spreading factors. The method correctly reconstructs the singularities (such as edges) that are visible from the sensor.
41.20.Jb Electromagnetic wave propagation; radiowave propagation
Issue 2 (April 2004)
Received 24 July 2003, in final form 22 January 2004
Published 27 February 2004
Margaret Cheney and Clifford J Nolan 2004 Inverse Problems 20 507
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