A general recording model of in-line far-field holography is first proposed, which includes three illumination modes: divergent, convergent and collimated beam illuminations. The general irradiance distribution on a hologram is then derived from the general recording model. Based on the general irradiance distribution of in-line far-field holography, the analytical solutions of recordable depth of view (RDV) and allowable farthest far-field distance (AFFD) of in-line far-field holography have been given for different illumination modes. The analytical solutions of RDV and AFFD show that AFFD can be not limited if micro-objects are positioned in one special space and illuminated by convergent beams, but RDV isn't improved. When micro-objects are placed in another special space and illuminated by divergent beam, the RDV and AFFD can be improved simultaneously, but recordable object space is split into two sub-spaces. These results are very important for the design of holographic recording system.