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arXiv · 1502.02285

Spectral anti-broadening due to four-wave mixing in optical fibers

Alexander M. Balk
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Abstract

We show that the four-wave mixing can restrict spectral broadening. This is a general physical phenomenon that occurs in one-dimensional systems of four wave packets that resonantly interact "2-to-2": $ ω_1+ω_2=ω_3+ω_4,\; k_1+k_2=k_3+k_4$, when an annihilation of one pair of waves results in the creation of another pair. In addition, for this phenomenon to occur, the group velocities $C_1,C_2,C_3,C_4$ of the packets should be in a certain order: The extreme value (max or min) of the four group velocities should be in the same pair with the middle value of the remaining three, e.g. $C_1<C_3<C_2<C_4$. This phenomenon is due to the presence of an extra invariant, in addition to the energy, momentum, and Manley-Rowe relations.

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Alexander M. Balk. 2015-02-08. Spectral anti-broadening due to four-wave mixing in optical fibers. https://arxiv.org/abs/1502.02285

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