# 波的反射 - Wave Reflection

边界处波的反射和相位变化的交互式可视化

> 标准页面: https://elysiatools.com/zh/visualizations/wave-reflection

- **分类:** Physics

## 概述

Interactive visualization of wave reflection at boundaries demonstrating phase changes at fixed and free ends. Features realistic pulse propagation on a string with Gaussian pulse shape, reflection mechanics, and phase inversion visualization. Interactive boundary selection: fixed end (hard boundary) shows π phase change with pulse inversion, free end (soft boundary) shows no phase change with upright reflection. Adjustable pulse parameters: amplitude (0.2-2.0), pulse width (0.2-1.0 m), wave speed (0.5-5.0 m/s), animation speed (0.2-3.0x). Real-time visualization of incident pulse (blue, moving right) and reflected pulse (red, moving left) with direction arrows. Phase change indicator shows current boundary behavior. Visual representation of different boundary types: fixed end displays as wall with hatching pattern, free end shows as ring allowing movement. Comprehensive display options: toggle rope/string visualization, boundary point display, incident/reflected pulse visibility, and phase change indicator. Educational content explains reflection laws: (1) angle of incidence equals angle of reflection (θᵢ = θᵣ), (2) fixed end reflection causes π phase change (inverted), (3) free end reflection has 0 phase change (upright), (4) wave speed relation v = λ·f. Detailed explanations of fixed-end and free-end reflection mechanisms with physics principles. Real-world applications: musical instruments (string resonance), architecture (room acoustics), optics (mirrors), seismology (seismic wave reflection), communications (radio ionosphere reflection). Multi-language support (zh, en, es, fr, de, ru, pt).

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