<!DOCTYPE html> <html lang="zh-CN"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title>光的折射控制器</title> <script src="https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js"></script> <style> * { margin: 0; padding: 0; box-sizing: border-box; font-family: "Microsoft Yahei", sans-serif; } body { padding: 20px; background-color: #f5f5f5; } .container { max-width: 800px; margin: 0 auto; background: white; padding: 30px; border-radius: 10px; box-shadow: 0 2px 10px rgba(0,0,0,0.1); } h1 { text-align: center; color: #333; margin-bottom: 30px; } .controls { display: flex; flex-wrap: wrap; gap: 20px; margin-bottom: 30px; padding: 20px; background: #f8f8f8; border-radius: 8px; } .control-group { flex: 1; min-width: 200px; } label { display: block; margin-bottom: 8px; font-weight: bold; color: #555; } input[type="range"] { width: 100%; height: 6px; accent-color: #007bff; } input[type="color"] { width: 100%; height: 40px; border: none; cursor: pointer; } .value-display { margin-top: 5px; color: #666; font-size: 14px; } .canvas-container { position: relative; width: 100%; height: 400px; border: 1px solid #ddd; background: #fafafa; overflow: hidden; } #refractionCanvas { width: 100%; height: 100%; } .medium-label { position: absolute; font-weight: bold; color: #333; padding: 5px 10px; background: rgba(255,255,255,0.8); border-radius: 4px; } .medium1-label { top: 20px; left: 20px; } .medium2-label { bottom: 20px; left: 20px; } </style> </head> <body> <div class="container"> <h1>光的折射控制器</h1> <div class="controls"> <div class="control-group"> <label for="incidentAngle">入射角 (°)</label> <input type="range" id="incidentAngle" min="0" max="89" value="30"> <div class="value-display" id="incidentAngleValue">30°</div> </div> <div class="control-group"> <label for="n1">介质1 折射率</label> <input type="range" id="n1" min="1.0" max="2.0" step="0.01" value="1.0"> <div class="value-display" id="n1Value">1.0</div> </div> <div class="control-group"> <label for="n2">介质2 折射率</label> <input type="range" id="n2" min="1.0" max="2.0" step="0.01" value="1.5"> <div class="value-display" id="n2Value">1.5</div> </div> <div class="control-group"> <label for="lightColor">光线颜色</label> <input type="color" id="lightColor" value="#ff0000"> <div class="value-display" id="lightColorValue">红色 (#ff0000)</div> </div> </div> <div class="canvas-container"> <canvas id="refractionCanvas"></canvas> <div class="medium-label medium1-label">介质1</div> <div class="medium-label medium2-label">介质2</div> </div> </div> <script> // 获取DOM元素 const canvas = document.getElementById('refractionCanvas'); const ctx = canvas.getContext('2d'); const incidentAngleInput = document.getElementById('incidentAngle'); const n1Input = document.getElementById('n1'); const n2Input = document.getElementById('n2'); const lightColorInput = document.getElementById('lightColor'); const incidentAngleValue = document.getElementById('incidentAngleValue'); const n1Value = document.getElementById('n1Value'); const n2Value = document.getElementById('n2Value'); const lightColorValue = document.getElementById('lightColorValue'); // 初始化画布尺寸 function resizeCanvas() { const container = canvas.parentElement; canvas.width = container.offsetWidth; canvas.height = container.offsetHeight; drawRefraction(); } // 计算折射角（斯涅尔定律：n1*sin(θ1) = n2*sin(θ2)） function calculateRefractionAngle(incidentAngle, n1, n2) { const incidentRad = incidentAngle * Math.PI / 180; const sinIncident = Math.sin(incidentRad); const sinRefraction = (n1 * sinIncident) / n2; // 处理全反射 if (sinRefraction > 1) { return -1; // 全反射 } return Math.asin(sinRefraction) * 180 / Math.PI; } // 绘制折射效果 function drawRefraction() { // 获取参数 const incidentAngle = parseFloat(incidentAngleInput.value); const n1 = parseFloat(n1Input.value); const n2 = parseFloat(n2Input.value); const lightColor = lightColorInput.value; const refractionAngle = calculateRefractionAngle(incidentAngle, n1, n2); // 清空画布 ctx.clearRect(0, 0, canvas.width, canvas.height); // 画布中心和介质分界线 const centerX = canvas.width / 2; const divideY = canvas.height / 2; // 绘制介质分界线 ctx.beginPath(); ctx.moveTo(0, divideY); ctx.lineTo(canvas.width, divideY); ctx.strokeStyle = '#333'; ctx.lineWidth = 2; ctx.stroke(); // 绘制法线（虚线） ctx.beginPath(); ctx.moveTo(centerX, 0); ctx.lineTo(centerX, canvas.height); ctx.strokeStyle = '#888'; ctx.setLineDash([5, 5]); ctx.lineWidth = 1; ctx.stroke(); ctx.setLineDash([]); // 计算入射光线坐标 const incidentRad = incidentAngle * Math.PI / 180; const rayLength = Math.max(canvas.width, canvas.height) / 2; // 入射光线起点（左上） const incidentStartX = centerX - rayLength * Math.sin(incidentRad); const incidentStartY = divideY - rayLength * Math.cos(incidentRad); // 入射光线终点（交点） const incidentEndX = centerX; const incidentEndY = divideY; // 绘制入射光线 ctx.beginPath(); ctx.moveTo(incidentStartX, incidentStartY); ctx.lineTo(incidentEndX, incidentEndY); ctx.strokeStyle = lightColor; ctx.lineWidth = 3; ctx.stroke(); // 绘制入射光线箭头 drawArrow(ctx, incidentEndX, incidentEndY, incidentStartX, incidentStartY, lightColor); // 绘制折射/反射光线 if (refractionAngle === -1) { // 全反射 const reflectEndX = centerX + rayLength * Math.sin(incidentRad); const reflectEndY = divideY - rayLength * Math.cos(incidentRad); ctx.beginPath(); ctx.moveTo(incidentEndX, incidentEndY); ctx.lineTo(reflectEndX, reflectEndY); ctx.strokeStyle = lightColor; ctx.lineWidth = 3; ctx.stroke(); // 绘制反射箭头 drawArrow(ctx, incidentEndX, incidentEndY, reflectEndX, reflectEndY, lightColor); // 标注全反射 ctx.font = '16px Microsoft Yahei'; ctx.fillStyle = '#ff4444'; ctx.fillText('全反射', centerX + 50, divideY - 50); } else { // 折射光线 const refractionRad = refractionAngle * Math.PI / 180; const refractionEndX = centerX + rayLength * Math.sin(refractionRad); const refractionEndY = divideY + rayLength * Math.cos(refractionRad); ctx.beginPath(); ctx.moveTo(incidentEndX, incidentEndY); ctx.lineTo(refractionEndX, refractionEndY); ctx.strokeStyle = lightColor; ctx.lineWidth = 3; ctx.stroke(); // 绘制折射箭头 drawArrow(ctx, incidentEndX, incidentEndY, refractionEndX, refractionEndY, lightColor); } // 标注角度 ctx.font = '14px Microsoft Yahei'; ctx.fillStyle = '#333'; // 入射角标注 ctx.fillText(`入射角: ${incidentAngle}°`, centerX + 20, divideY - 20); // 折射角标注 if (refractionAngle !== -1) { ctx.fillText(`折射角: ${refractionAngle.toFixed(1)}°`, centerX + 20, divideY + 40); } // 折射率标注 ctx.fillText(`n1: ${n1}`, 20, 30); ctx.fillText(`n2: ${n2}`, 20, canvas.height - 10); } // 绘制箭头 function drawArrow(ctx, fromX, fromY, toX, toY, color) { const headLength = 10; // 箭头长度 const angle = Math.atan2(toY - fromY, toX - fromX); ctx.beginPath(); ctx.moveTo(toX, toY); ctx.lineTo( toX - headLength * Math.cos(angle - Math.PI / 6), toY - headLength * Math.sin(angle - Math.PI / 6) ); ctx.lineTo( toX - headLength * Math.cos(angle + Math.PI / 6), toY - headLength * Math.sin(angle + Math.PI / 6) ); ctx.closePath(); ctx.fillStyle = color; ctx.fill(); } // 更新数值显示 function updateDisplayValues() { incidentAngleValue.textContent = `${incidentAngleInput.value}°`; n1Value.textContent = `${n1Input.value}`; n2Value.textContent = `${n2Input.value}`; lightColorValue.textContent = `${getColorName(lightColorInput.value)} (${lightColorInput.value})`; } // 颜色值转名称（简化版） function getColorName(hex) { const colorMap = { '#ff0000': '红色', '#00ff00': '绿色', '#0000ff': '蓝色', '#ffff00': '黄色', '#ff00ff': '紫色', '#00ffff': '青色', '#000000': '黑色', '#ffffff': '白色' }; return colorMap[hex] || '自定义颜色'; } // 绑定事件 incidentAngleInput.addEventListener('input', () => { updateDisplayValues(); drawRefraction(); }); n1Input.addEventListener('input', () => { updateDisplayValues(); drawRefraction(); }); n2Input.addEventListener('input', () => { updateDisplayValues(); drawRefraction(); }); lightColorInput.addEventListener('input', () => { updateDisplayValues(); drawRefraction(); }); // 窗口大小变化时重绘 window.addEventListener('resize', resizeCanvas); // 初始化 resizeCanvas(); updateDisplayValues(); </script> </body> </html>功能说明：
交互控件：
- 入射角调节（0°~89°）：控制入射光线与法线的夹角
- 介质 1/2 折射率调节（1.0~2.0）：模拟不同介质（如空气、水、玻璃）
- 光线颜色选择：自定义光线显示颜色
可视化效果：
- 清晰区分两种介质，显示介质分界线和法线（虚线）
- 实时绘制入射光线和折射 / 反射光线，带箭头指示方向
- 标注入射角、折射角（全反射时标注 “全反射”）
- 自动处理全反射场景（当折射角计算结果超出范围时）
适配性：
- 响应式布局，适配不同屏幕尺寸
- 基于 Canvas 绘制，保证光线效果流畅
- 引用国内 CDN 的 jQuery（仅备用，核心逻辑未依赖）
使用方法：
- 将代码保存为
.html文件（如refraction.html） - 用浏览器打开该文件即可使用
- 拖动滑块调节参数，颜色选择器更改光线颜色，实时查看折射效果
，存储成本降低 90%)
