Abstract
We present an investigation of relationships among the information bandwidth, the optical power efficiency, and the degree of parallelism for optical interconnection architectures that employ optical fan-in. The foundation for these relationships is the Lagrange invariant, or, more specifically, the constant-radiance theorem. We show that, when restrictions imposed by the constant-radiance theorem are combined with requirements on the probability of error, an upper limit is placed on the bandwidth that is reduced as the fan-in ratio increases. These limitations are significantly more severe when optical fan-in is used to perform analog summations. We then define a measure of processing efficiency that takes into account the influence of optical input power on the probability of error and is used to interpret the results.
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