Abstract:We propose a new integrated method which covers addition of any two signed digit numbers in all-optical domain. Toimplement this scheme we have exploited some photo-refractive characters of optical non-linear materials, which mayexperience 0.1-0.2 dB attenuation loss as silica is used as non-linear medium. Moreover, the attenuation loss may bereduced to 0.001 dB/m if we consider the use of slow light at 1.56 um.