## Abstract

We show in theory and simulation that the supercontinuum generation from an initial continuous wave field in a highly nonlinear fiber operating near the zero-dispersion point can be significantly enhanced with the aid of dispersion management. We characterize the spectral broadening as a process initiated by modulational instability, but driven by the zero-dispersion dynamics of an *N*-soliton interacting with the asymmetric phase profile generated by the Raman effect, self-steepening effect, and/or higher-order dispersion. Higher *N*-soliton values lead to shorter pulses and a broader spectrum. This insight allows us to use dispersion management in conjunction with modulational instability to effectively increase the *N* value and greatly enhance the supercontiuum generation process.

© 2005 Optical Society of America

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### Equations (5)

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(1)
$$i\frac{\partial Q}{\partial Z}+\frac{1}{2}\frac{{\partial}^{2}Q}{\partial {T}^{2}}+{\mid Q\mid}^{2}Q-\tau Q\frac{\partial \left({\mid Q\mid}^{2}\right)}{\partial T}=0$$
(2)
$$\frac{\partial \left({\mid Q(0,T)\mid}^{2}\right)}{\partial T}=\frac{\partial \left({N}^{2}{\mathrm{sech}}^{2}T\right)}{\partial T}=-2{N}^{2}{\mathrm{sech}}^{2}T\mathrm{tanh}T.$$
(3)
$$Q=Q(0,T)\mathrm{exp}\left[-i\left(2\tau {N}^{2}{\mathrm{sech}}^{2}T\mathrm{tanh}T\right)Z\right].$$
(4)
$${Q}_{n}(Z,T)=2{\eta}_{n}\mathrm{sech}\left[2{\eta}_{n}\left(T-\pi {\kappa}_{n}Z\right)\right]\mathrm{exp}\left[-i2T+i\pi \left({\kappa}_{n}^{2}-{\eta}^{2}\right)Z\right].$$
(5)
$$i\frac{\partial Q}{\partial Z}+\frac{1}{2}\frac{{\partial}^{2}Q}{\partial {T}^{2}}+i\beta \frac{{\partial}^{3}Q}{\partial {T}^{3}}+{\mid Q\mid}^{2}Q-\tau Q\frac{\partial \left({\mid Q\mid}^{2}\right)}{\partial T}+i\sigma \frac{\partial \left({\mid Q\mid}^{2}Q\right)}{\partial T}+i\Gamma Q=0$$