A general-and practical method is developed for shape determination of specular reflectors from their scattered fields. Even though this problem has been of interest for many years, and even though a unique solution is believed possible, a general method has eluded us. The method presented here uses the observation that a class of incoming and outgoing waves that satisfy the boundary conditions of the object can be found. Holographic imaging of the scattered field is a practical approach for finding these eigenfunctions for the scatterer. As an example, we invert the scattered field from a sphere, precisely determining its radius.
© 1985 Optical Society of America
R. P. Porter, "Holographic shape determination of reflecting objects," J. Opt. Soc. Am. A 2, 1937-1942 (1985)