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The maximum bit-rate of a slab waveguide is ultimately determined by thewaveguide dispersion. We show that while the maximum bit rate in a waveguide isinversely proportional to the waveguide's width, bit rate per unit width (i.e.,spatial capacity) decreases, and in the limit of a zero-width waveguide itconverges to a value, which is independent of the waveguide's refractiveindices. This value is qualitatively equivalent to the transmission rate perunit of width in free space. We also show that in a 3D waveguide (e.g.,fibers), unlike free space, the spatial capacity vanishes in the same limit.

Limitations to bit rate and spatial capacity of an optical data transmission channel