超宽带光学脉冲的二次谱相位第一部分：时间形式
Ultrabroadband Optical Pulses with Quadratic Spectral Phase Part I: Temporal Form
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中文总结 AI 辅助
本文通过全纯傅里叶变换和Faddeeva函数导数，提出了超宽带光学脉冲的时域表示，揭示了导数阶数、绝对相位和二阶谱相位对脉冲形状、带宽及振荡的影响，并与慢变包络近似建立联系。
中文摘要 AI 辅助
本文提出了一种包含啁啾、展宽和绝对相位的超宽带光学脉冲的时域表示。通过对一类包含二阶谱相位的频谱进行全纯傅里叶变换，得到了Faddeeva函数$w(\zeta)$的导数。将该脉冲的实部与物理量相关联，研究了其形状。导数阶数$\eta$被证明决定了相对光谱带宽。绝对相位决定了$w(\zeta)$中更局域（高斯衰减）和更不局域（代数衰减）分量的混合。二阶谱相位对应线性色散，并导致脉冲的Wigner-Ville分布发生剪切，类似于准单色情况下的线性啁啾。它与$\eta$共同决定了脉冲长度和振荡次数。对于大的$\eta$阶数，导出了与慢变包络近似的对应关系，尽管代数衰减仍然存在。
英文摘要
A time-domain representation for ultrabroadband optical pulses that includes chirp, stretching, and absolute phase is presented. This is accomplished by holomorphic Fourier transform of a class of spectra that include spectral phase up to second order, resulting in derivatives of the Faddeeva function $w(ζ)$. Relating the real part of this pulse to physical quantities, its shape is investigated. The derivative order $η$ is shown to dictate relative spectral bandwidth. The absolute phase determines the mixing of more localized (Gaussian decay) and less localized (algebraic decay) components of $w(ζ)$. Second order spectral phase accounts for linear dispersion and is shown to cause a sheering of the Wigner-Ville distribution of the pulse, akin to the linear chirp that would be seen in the quasi-monochromatic case. Along with $η$ it determines the pulse length and number of oscillations. A correspondence with the slowly varying envelope approximation is derived for large order $η$, although the algebraic decay persists.
发表机构
- Oak Ridge National Laboratory（橡树岭国家实验室）
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