The inverse source problem for monochromatic sources Re[ρ(r, ω)e-iωt] to the scalar-wave equation is investigated. It is shown that a unique solution to the inverse source problem can be obtained by imposing the constraint that the solution minimize the source energy E = ∫ d3r|ρ(r, ω)|2. For certain recording geometries the time derivative of the real image produced by a point-reference hologram is shown to be directly proportional to the time-reversed minimum energy source Re[ρ*ME(r, ω)e-iωt] in the short-wavelength limit.
© 1982 Optical Society of America
R. P. Porter and A. J. Devaney, "Holography and the inverse source problem," J. Opt. Soc. Am. 72, 327-330 (1982)