Abstract

The inverse source problem for monochromatic sources Re[ρ(r, ω)eiωt] 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)eiωt] in the short-wavelength limit.

© 1982 Optical Society of America

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