Abstract
In this paper, we propose a provably optimal technique for minimizing
intersymbol interference (ISI) in multimode fiber (MMF) systems using adaptive
optics via convex optimization. We use a spatial light modulator (SLM) to
shape the spatial profile of light launched into an MMF. We derive an expression
for the system impulse response in terms of the SLM reflectance and the field
patterns of the MMF principal modes (PMs). Finding optimal SLM settings to
minimize ISI, subject to physical constraints, is posed as an optimization
problem. We observe that our problem can be cast as a second-order cone program,
which is a convex optimization problem. Its global solution can, therefore,
be found with minimal computational complexity, and can be implemented using
fast, low-complexity adaptive algorithms. We include simulation results, which
show that this technique opens up an eye pattern originally closed due to
ISI. We also see that, contrary to what one might expect, the optimal SLM
settings do not completely suppress higher order PMs.
© 2008 IEEE
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