Scattered wave inversion for weak scatterers by the method of image projections

Robert P. Porter; D. Rouseff

doi:10.1117/12.23634

1 November 1990 Scattered wave inversion for weak scatterers by the method of image projections

Robert P. Porter, D. Rouseff

Proceedings Volume 1351, Digital Image Synthesis and Inverse Optics; (1990) https://doi.org/10.1117/12.23634
Event: 34th Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1990, San Diego, CA, United States

Abstract

A method of three-dimensional inverse scattering based on image projections is derived and implemented for deterministic and random weak scatterers. For each illumination of the object, the measured scattered field is directly backpropagated onto a single plane in the image space. The backpropagated field evaluated on the plane is defined as the image projection because it closely approximates the straight line projection of the object for both high frequency incident waves and low spatial frequency scatterers. The object can be reconstructed by using conventional tomographic algorithms such as the Fourier slice method. This approach permits practical inversions using a limited set of illumination directions. For random weak scatterers, we show that the second order statistics of the medium can be determined from the image projections. We illustrate the method with numerical examples for both deterministic and random scatterers.

Citation Download Citation

Robert P. Porter and D. Rouseff "Scattered wave inversion for weak scatterers by the method of image projections", Proc. SPIE 1351, Digital Image Synthesis and Inverse Optics, (1 November 1990); https://doi.org/10.1117/12.23634

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