V2EX third-order dispersion

Third-Order Dispersion

释义 Definition

三阶色散(Third-Order Dispersion, TOD):在光学/光纤传播中,描述群速度色散(GVD)随频率变化的更高阶效应,对应传播常数 \( \beta(\omega) \) 对角频率 \( \omega \) 的三阶导数 \( \beta_3 \)。它常影响超短脉冲的波形(如不对称展宽、尾波/振铃、谱形畸变),在宽带或接近零色散波长附近尤其明显。(该短语在不同领域也可指更一般的“第三阶色散项”。)

发音 Pronunciation (IPA)

/θd rd dspn/

例句 Examples

Third-order dispersion can distort ultrashort laser pulses.
三阶色散会使超短激光脉冲发生畸变。

When the pulse bandwidth is large, third-order dispersion causes asymmetric temporal broadening and complicates pulse compression.
当脉冲带宽很大时,三阶色散会导致时间域不对称展宽,并使脉冲压缩更复杂。

词源 Etymology

third-order 源自数学与物理中的“三阶/三次”概念,表示在泰勒展开或近似中取到第三阶项;dispersio 来自拉丁语 dispergere(“散开、分散”),在光学里指不同频率(颜色)的传播速度不同导致的“色散”。合在一起,指色散效应中“第三阶”的那一项(常记为 \( \beta_3 \))。

相关词 Related Words

文献与著作 Notable Works

  • Nonlinear Fiber Optics Govind P. Agrawal(讨论高阶色散含 \( \beta_3 \) 对超短脉冲与孤子动力学的影响)
  • Nonlinear Optics Robert W. Boyd(涉及色散与非线性相互作用的理论背景)
  • Supercontinuum Generation in Optical Fibers J. M. Dudley & J. R. Taylor(宽带谱展宽中高阶色散的重要性常被系统讨论)
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