Four-wave mixing instabilities in photonic-crystal and tapered fibers.
Four-wave mixing instabilities in photonic-crystal and tapered fibers.
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DOI：
10.1103/physreve.68.046603
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发表时间：
2003-10
期刊：
影响因子：
--
通讯作者：
F. Biancalana;D. Skryabin;P. Russell
中科院分区：
文献类型：
--
作者：
F. Biancalana;D. Skryabin;P. Russell
从理论上研究了超细芯光子晶体和锥形光纤中连续波传播的四波混频不稳定性。波导或几何结构对这些结构的总体色散的贡献比传统光纤强得多。这导致出现不稳定的频带，这些频带在质量和数量上都与传统光纤中看到的不同。这里发展的四波混频理论是基于完整的波动方程，它允许对不稳定波段进行严格的研究，即使失谐是泵浦频率本身的阶数。广义非线性Schrödinger方程是全波动方程的近似形式，它的解表明它在描述四波混频过程时存在一些缺陷。
Four-wave mixing instabilities are theoretically studied for continuous wave propagation in ultrasmall core photonic-crystal and tapered fibers. The waveguide, or geometrical, contribution to the overall dispersion of these structures is much stronger than in conventional fibers. This leads to the appearance of unstable frequency bands that are qualitatively and quantitatively different from those seen in conventional fibers. The four-wave mixing theory developed here is based on the full wave equation, which allows rigorous study of the unstable bands even when the detunings are of the order of the pump frequency itself. Solutions obtained using the generalized nonlinear Schrödinger equation, which is an approximate version of the full wave equation, reveal that it suffers from several deficiencies when used to describe four-wave mixing processes.