Abstract
We describe a general construction for space–wavelength log2(FW;m; p) networks
capable of wave-mixing conversion, including previous designs proposed in the
literature, where F is the number of fibers and W is the number of wavelengths per
fiber. In these networks, a lightpath is converted through at most f log2W +min(m;
log2 W)g cascaded conversions, with O(pF log2 W) converters. Therefore the new
construction enables the design of rearrangeably and strictly nonblocking
log2(FW;m;p) wavelength interchanging cross connects, respectively, with O[F log2
W(FW)1=2=2m=2] and O[F log2 Wf(FW)1=2=2m=2+mg] wave-mixing converters. It also
provides a trade-off between transmission impairments and converter
requirements.
© 2002 Optical Society of America
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