V2EX vector-spherical-wave-function

Vector-Spherical-Wave-Function

定义 Definition

矢量球面波函数:在球坐标系中用于表示矢量波动场(常见于电磁场)的基函数族,通常由球谐函数球贝塞尔/汉克尔函数等组合而成,用于展开与求解如散射、辐射、波导端口等问题。(在电磁散射中常写作 VSWF,常见两类如 MN 型矢量球面波函数。)

发音 Pronunciation (IPA)

/vktr sfrkl wev fkn/

例句 Examples

A vector-spherical-wave-function can represent the electromagnetic field around a sphere.
矢量球面波函数可以表示球体周围的电磁场。

Using a vector-spherical-wave-function expansion, the scattering problem is reduced to solving for a set of multipole coefficients under boundary conditions.
通过矢量球面波函数展开,散射问题可在边界条件约束下化简为求解一组多极系数。

词源 Etymology

该术语是由多个常用科学词拼合形成的复合名词:vector(矢量的)+ spherical(球面的/球坐标的)+ wave(波)+ function(函数)。它直观表达了“在球坐标中描述矢量波场的一类函数”。在经典电磁理论与散射理论中,这类函数作为标准完备基底被广泛采用,用于把复杂场分解为可计算的“多极”模式。

相关词 Related Words

文学与著作中的用例 Literary / Notable Works

  • Electromagnetic Theory Julius Adams Stratton(经典电磁理论著作,讨论球坐标下的矢量波动解与展开方法)
  • Waves and Fields in Inhomogeneous Media Weng Cho Chew(涉及以矢量球面波函数/相关基函数处理散射与场展开)
  • Absorption and Scattering of Light by Small Particles Craig F. Bohren & Donald R. Huffman(在米氏散射与球形展开背景下常出现相关展开与符号体系)
  • Waterman 的 T-matrix 方法论文(T-matrix/扩展边界条件法中常以矢量球面波函数作为入射场与散射场的展开基底)
  • Mishchenko 等关于多粒子散射与 T-matrix 的专著/论文(频繁使用 VSWF 作为数值与解析展开工具)
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