V2EX cylindrical wave

Cylindrical Wave

释义 Definition

圆柱波;柱面波:一种波前(等相位面)呈同轴圆柱面的波。常见于二维或具有圆柱对称的传播情形(如线声源、长直天线附近的场),其振幅通常随到轴线的径向距离增大而衰减(理想情况下常近似与 \(1/\sqrt{r}\) 相关)。

发音 Pronunciation (IPA)

/slndrkl wev/

例句 Examples

A line source can produce a cylindrical wave in air.
线声源在空气中可以产生圆柱波。

In two-dimensional problems, the field is often modeled as a superposition of outgoing and incoming cylindrical waves.
在二维问题中,场常被建模为出射与入射圆柱波的叠加。

词源 Etymology

cylindrical 来自 cylinder(圆柱),其源头可追溯到希腊语 kylindros(“滚动的物体/圆柱”)相关词根;加上形容词后缀 -ical 表示“……的/与……有关的”。wave 源自古英语 wf/wafian(与“波动、起伏”相关)。合起来字面义即“圆柱形的波”,用于强调波前几何形状。

相关词 Related Words

文献与作品 Literary / Notable Works

  • The Feynman Lectures on Physics(费曼《物理学讲义》):在讨论波动、辐射与对称性时会涉及柱对称波形的思想。
  • Classical Electrodynamics by J. D. Jackson(杰克逊《经典电动力学》):在圆柱坐标系中的场展开与辐射/散射问题中常用圆柱波表示。
  • Methods of Theoretical Physics by Morse & Feshbach(莫尔斯与费什巴赫《理论物理方法》):将圆柱波与贝塞尔函数、亥姆霍兹方程联系起来系统处理。
  • Principles of Optics by Born & Wolf(玻恩与沃尔夫《光学原理》):在衍射与波动光学的某些圆柱对称模型中会用到圆柱波/相应展开。
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