Reverse BDD-based synthesis for splitter-free optical circuits

With the advancements in silicon photonics, optical devices have found applications e.g. for ultra-high speed and low-power interconnects as well as functional computations to be realized on-chip. Caused by the increasing complexity of the underlying functionality, also the need for computer-aided design methods for this technology rises. Motivated by that, initial work on the development of synthesis methods for optical circuits has been performed. But all approaches proposed thus far suffer e.g. from unsatisfactory synthesis results or restricted scalability. In particular, splittings in the resulting circuits which degrade the optical signals into hardly measurable fractions prevent an efficient and scalable synthesis for optical circuits. In this work, we present a synthesis approach based on Binary Decision Diagrams (BDDs) that overcomes these obstacles. The approach yields circuits that rely on a total of zero splitters - at the expense of a moderate increase in the number of optical gates. Experiments confirm that, by this, an efficient and scalable synthesis scheme for optical circuits eventually becomes available.