We study the quantum-noise properties of spectrally filtered solitons in
optical fibers. Perturbation theory, including a quantum description of the
continuum, is used to derive a complete analytical expression for the second-order
correlator of the amplitude quadrature. This correlator is subsequently used
to optimize the frequency response of the filter numerically in order to achieve
the minimum photon-number noise. For propagation distances up to three soliton
periods, the length at which the best noise reduction occurs, a square filter
is found to be approximately optimum. For longer distances, more-complicated
filter shapes are predicted for the best noise reduction.
© 1999 Optical Society of America
Equations on this page are rendered with MathJax. Learn more.