# 纵波与横波对比 - Longitudinal vs Transverse Waves

纵波与横波的交互式对比，包含粒子运动和波形可视化

> 标准页面: https://elysiatools.com/zh/visualizations/longitudinal-transverse-waves

- **分类:** Physics

## 概述

Interactive comparison of longitudinal and transverse waves with synchronized animation and particle motion visualization. Features fundamental wave equations: Transverse wave y(x,t) = A·sin(kx - ωt) where particles oscillate perpendicular to wave propagation direction creating crests and troughs; Longitudinal wave s(x,t) = A·sin(kx - ωt) where particles oscillate parallel to propagation creating compressions (密部) and rarefactions (疏部). Wave parameters: wavelength λ = v/f, wave number k = 2π/λ, angular frequency ω = 2πf, wave speed v = λ·f, period T = 1/f. Side-by-side synchronized animation with identical frequency and wavelength for direct comparison. Left panel shows transverse wave with vertical particle motion (sine wave pattern), right panel shows longitudinal wave with horizontal particle motion (compression-rarefaction pattern). Particle tracking with marked reference particle (red) showing oscillation path over time. Color-coded longitudinal particles: red for compression (high density), blue for rarefaction (low density). Particle trails showing oscillation history. Real-time wave properties display: wavelength, frequency, wave speed, and period. Waveform visualization overlay showing displacement curves. Comparison table highlighting key differences: particle motion direction, waveform shape, polarization capability, medium requirements, and real-world examples (transverse: electromagnetic waves, water waves; longitudinal: sound waves, pressure waves). Educational content covering wave classification, particle motion analysis, wave propagation principles, polarization concepts, and practical applications in acoustics, optics, and seismology (P-waves vs S-waves). Multi-language support (zh, en, es, fr, de, ru, pt).

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