  The spectra of silicon integrated waveguides are tailored to process analog
computing (i.e.,differential and integral) in optical domain with huge
bandwidth.With the theory of signal and system, we design some silicon
integrated devices to implement photonic differentiator and optical
differential equation solver. The basic principle is to tailor the spectra of
silicon integrated waveguides to meet the requirements of analog computing
circuits. These analog photonic integrated circuits are very promising in
future computing systems with high speed, low cost, and compact size. We also
plan to employ these basic computing units in more complex computing modules.
