Slit-aperture synthesis in holography of diffuse objects

The conditions for slit-aperture synthesis by the holographic recording of an optical field distribution are presented. It is shown that only the movement of an element in the optical setup that can be described by a transmittance function, e.g., the illuminated object or the imaging lens, can realize the slit synthesis. The synthesis of multislits for application in rainbow and dispersive multichannel white-light holograms is discussed.