Abstract

A new method for reconstructing a weakly scattering object from only the intensity of the scatterred field has recently been proposed,¹ which requires that the measurement be in the far-field of the object. This method was employed in experiments performed on an optical fiber, and the resulting reconstruction agreed well with the fiber’s index of refraction profile. In this paper, we use the method of phase retrieval to obtain the phase of the scattered field from the measured intensity using support constraints. The total field (measured intensity and retrieved phase) is then used in a standard tomographic reconstruction algorithm to obtain a reconstruction of the fiber’s index of refraction profile. The resulting reconstructions are compared with those obtained with the intensity-only method mentioned above.

© 1991 Optical Society of America