We present a textbooklike treatment of hybrid systems employing both o
ptical and electrical interconnections. We investigate how these two d
ifferent interconnection media can be used in conjunction to realize a
system not possible with any alone. More specifically, we determine t
he optimal mix of optical and normally conducting interconnections max
imizing a given figure-of-merit function. We find that optical interco
nnections have relatively little to offer if the optical paths are con
strained to lie on a plane (such as in an integrated optics system). H
owever, if optical paths are permitted to leave the plane, they may en
able considerable increase in performance. In any event the prize in t
erms of performance is accompanied by a penalty in terms of system pow
er and/or size.