# 等离子体波色散关系

电磁波在等离子体中传播的交互式可视化 — 色散关系、截止频率、相速度与群速度、脉冲展宽

> 标准页面: https://elysiatools.com/zh/visualizations/plasma-dispersion

- **分类:** Physics

## 概述

Interactive visualization of electromagnetic wave propagation in plasma. Explore the cold plasma dispersion relation ω² = ωp² + k²c² for unmagnetized plasma, L-wave and R-wave modes in magnetized plasma (n² = 1 - ωp²/[ω(ω∓ωc)]), and O-mode perpendicular propagation. Adjust plasma frequency ωp (0.1-3.0), electron cyclotron frequency ωc (0-2.0), wave frequency ω (0.1-5.0), pulse width σ, and propagation time. Three synchronized canvases: (1) Dispersion curve ω(k) with light line, cutoff frequency marker, phase velocity slope, and group velocity tangent at the operating point; (2) Phase velocity vφ=c/n and group velocity vg=cn plotted vs ω, showing vφ>1 and vg<1 with vφ·vg=c²; (3) Pulse propagation showing envelope broadening via numerical Fourier synthesis of Gaussian wave packet. Evanescent regime (ω<ωcut) displays exponential decay with skin depth. Modes: unmagnetized EM (single cutoff at ωp), R-wave with cyclotron resonance at ωc, L-wave with shifted cutoff, O-mode (same as unmagnetized). Stats panel shows vφ, vg, refractive index n(ω), wavenumber k(ω), cutoff frequency, and propagating/evanescent status. Education covers cold plasma dispersion derivation, cutoff physics (metal reflection, ionospheric HF reflection), pulse broadening and GVD, pulsar dispersion measure (Δt∝DM/f²), propagation modes and Faraday rotation, ionospheric radio propagation and MUF, pulsar discovery via dispersion, tokamak reflectometry and interferometry diagnostics, and solar radio bursts mapping coronal density profiles. 8 languages (zh, en, es, fr, de, ru, pt, ja).

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