Bj. Hoenders, EXISTENCE OF INVISIBLE NONSCATTERING OBJECTS AND NONRADIATING SOURCES, Journal of the Optical Society of America. A, Optics, image science,and vision., 14(1), 1997, pp. 262-266
The radiation that is due to the scattering of an incoming light wave
from an object or that is generated by a source distribution is consid
ered. It is assumed that the field propagation can be described by the
equation of; radiative transport or, in the P-1 approximation, by the
diffusion equation. It is shown by explicit examples that there is a
class of object (source) distributions that generate scattered (radiat
ion) fields that are identically The existence of these invisible obje
ct and source distributions leads to serious complications for the inv
erse, i.e., the reconstruction, problem. (C) 1997 Optical Society of A
merica.