Diffraction-controlled wavelength dependence of the effective mode area in optical fibers can serve as a mechanism limiting the soliton self-frequency shift induced by the Raman effect in materials with retarded nonlinearity. By numerically solving the generalized nonlinear Schrödinger equation modified to include the dependence, we show that, as the central wavelength of the soliton increases, the waveguide mode tends to become less compact, slowing down the soliton self-frequency shift. As a result, for optical fibers with a steep profile, wavelength uncertainties and the timing jitter of the frequency-shifted soliton induced by input power fluctuations can be substantially reduced compared with fibers with a weak dependence.
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