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Nonlinear Fiber Optics || Cross-phase modulation

DOI:10.1016/B978-0-12-817042-7.00014-2 出版年份:2019 更新时间:2025-09-12 10:27:22
摘要: So far we have focused on optical pulses whose spectrum is centered at a single wavelength. When two or more pulses, launched at different wavelengths, propagate simultaneously inside a fiber, they interact with each other through the fiber’s nonlinearity. In general, such an interaction can generate new waves under appropriate conditions through a variety of nonlinear phenomena such as stimulated Raman or Brillouin scattering and four-wave mixing; these are discussed in Chapters 8 to 10. The nonlinearity can also couple two optical fields through cross-phase modulation (XPM), without inducing any energy transfer between them [1]. The XPM phenomenon is discussed in this chapter. A set of two coupled nonlinear Schr?dinger (NLS) equations is derived in Section 7.1, assuming that each wave maintains its state of polarization. These equations are used in Section 7.2 to discuss how the XPM affects the phenomenon of modulation instability. Section 7.3 focuses on the soliton pairs whose members support each other through their XPM-mediated nonlinear interaction. The effects of XPM on the shape and the spectrum of ultrashort pulses are described in Section 7.4 by solving the coupled NLS equations. Several applications of XPM are discussed in Section 7.5. A vector theory of XPM is developed in Section 7.6 to account for the polarization effects. In Section 7.7 we extend this theory to the case of birefringent fibers. The case of two counterpropagating waves is discussed in Section 7.8.
作者: G.P. Agrawal
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Investigating the nonlinear interaction between two optical pulses of different wavelengths propagating simultaneously inside a fiber, focusing on cross-phase modulation (XPM) effects, including modulation instability, soliton pairs, and polarization effects.

The study provides a comprehensive understanding of XPM effects in optical fibers, including modulation instability, soliton pairs, and polarization-dependent phenomena. It highlights the potential for applications in optical switching, pulse compression, and wavelength conversion, while also pointing out the limitations and challenges in practical implementations.

The analysis assumes idealized conditions such as negligible fiber losses and specific pulse shapes. Real-world applications may face challenges due to fiber imperfections, higher-order dispersion, and nonlinear effects not considered in the model.

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