Abstract
We have developed a theory based on the linearization approximation of solitons1 that explains the recently observed photon-number squeezing obtained by means of spectral filtering after nonlinear propagation through a fiber.2 Following the work of Lai and Yu,3 we have developed a back propagation method to calculate the filtered noise. We find that the continuum makes an essential contribution, leading to oscillations in the photon-number squeezing with input pulse power. The presence of the continuum enhances the squeezing over a range of propagation distances, i.e., the continuum makes a positive contribution to squeezing. The quantum-noise continuum, however, like its classical counterpart, de- cays asymptotically with distance as , where I is the fiber length in soliton units. In solving the quantum-noise problem, we were guided by a similar classical problem solved by Gordon4 in the context of studying the generation of continuum radiation when a propagating soliton encounters a piece of fiber with higher nonlinearity.
© 1997 Optical Society of America
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