## Abstract

Recent experiments in birefringent optical fibers in which a signal pulse in one
polarization is used to switch a control pulse in another polarization are
affected by the Raman self-frequency shift. These experiments are modeled
numerically, with the experimentally measured Raman profiles used as input to
the simulations. Both parallel and perpendicular Raman gain are kept. The effect
of keeping the full Raman response rather than just an often-used linear
approximation is discussed. The experimental results are in good agreement with
theory, although some discrepancies exist. The possibility that these
discrepancies could be due to errors in the measurements of the low-frequency
portion of the perpendicular Raman gain is examined and ruled out. Other
possible sources of this discrepancy are then discussed.

© 1991 Optical Society of America

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### Equations (2)

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(1)
$$\begin{array}{l}i\frac{\partial u}{\partial \xi}+i\delta \frac{\partial u}{\partial s}+\frac{1}{2}\frac{{\partial}^{2}u}{\partial {s}^{2}}+(\mid u{\mid}^{2}+B\mid v{\mid}^{2})u\\ +u{\int}_{0}^{\infty}{f}_{1}({s}^{\prime})\mid u(\xi ,s-{s}^{\prime}){\mid}^{2}\hspace{0.17em}{\text{d}s}^{\prime}\\ +u{\int}_{0}^{\infty}{f}_{2}({s}^{\prime})\mid v(\xi ,s-{s}^{\prime}){\mid}^{2}\hspace{0.17em}{\text{d}s}^{\prime}\\ +v{\int}_{0}^{\infty}{f}_{3}({s}^{\prime})u(\xi ,s-{s}^{\prime}){v}^{*}(\xi ,s-{s}^{\prime})\hspace{0.17em}{\text{d}s}^{\prime}=0,\\ i\frac{\partial v}{\partial \xi}-i\delta \frac{\partial v}{\partial s}+\frac{1}{2}\frac{{\partial}^{2}v}{\partial {s}^{2}}+(B\mid u{\mid}^{2}+\mid v{\mid}^{2})v\\ +v{\int}_{0}^{\infty}{f}_{1}({s}^{\prime})\mid v(\xi ,s-{s}^{\prime}){\mid}^{2}\hspace{0.17em}{\text{d}s}^{\prime}\\ +v{\int}_{0}^{\infty}{f}_{2}({s}^{\prime})\mid u(\xi ,s-{s}^{\prime}){\mid}^{2}\hspace{0.17em}{\text{d}s}^{\prime}\\ +u{\int}_{0}^{\infty}{f}_{3}({s}^{\prime}){u}^{*}(\xi ,s-{s}^{\prime})v(\xi ,s-{s}^{\prime})\hspace{0.17em}{\text{d}s}^{\prime}=0,\end{array}$$
(2)
$$\begin{array}{l}{i\frac{\partial u}{\partial \xi}|}_{\text{Raman}}=-\left({c}_{1}u\frac{\partial \mid u{\mid}^{2}}{\partial s}+{c}_{2}u\frac{\partial \mid v{\mid}^{2}}{\partial s}+{c}_{3}v\frac{\partial u{v}^{*}}{\partial s}\right),\\ {i\frac{\partial v}{\partial \xi}|}_{\text{Raman}}=-\left({c}_{1}v\frac{\partial \mid v{\mid}^{2}}{\partial s}+{c}_{2}v\frac{\partial \mid u{\mid}^{2}}{\partial s}+{c}_{3}u\frac{\partial {u}^{*}v}{\partial s}\right),\end{array}$$