03 // 双向 STEM 与金融计算器 // 物理力学、电磁学与热力学计算器n₁ × sin(θ₁) = n₂ × sin(θ₂)

斯涅尔定律(光的折射定律)计算器

根据 n₁ sin(θ₁) = n₂ sin(θ₂) 计算折射角、入射角或两种光学介质的折射率。

n₁ × sin(θ₁) = n₂ × sin(θ₂)
选择要计算的未知量(或直接在任意输入框中输入数值):当前求解: θ₂ (°) — Angle of Refraction
计算结果

Transmitted ray angle from normal in degrees

0.189.9
deg

Index of refraction of medium 1 (Air = 1.0003)

14
unit

Incident ray angle from surface normal in degrees

0.189.9
deg

Index of refraction of medium 2 (Water = 1.333, Glass = 1.50)

14
unit
计算结果 · Angle of Refraction (θ₂ (°))
28.1255

分步代入计算过程

01Canonical Law: n₁ × sin(θ₁) = n₂ × sin(θ₂)
02Given Inputs (Base Units): n₁ = 1, θ₁ (°) = 45, n₂ = 1.5
03Solve for θ₂ (°) (Angle of Refraction): θ₂ (°) = 28.1255

Snell's Law governs the bending of light rays across an interface between two isotropic media with refractive indices n₁ and n₂: n₁ × sin(θ₁) = n₂ × sin(θ₂).

常见参考标准值

Vacuum / Air (STP)n = 1.0000 / 1.00029

Phase velocity equals c

Pure Water / Borosilicate Crown Glassn = 1.333 / n = 1.517

Standard optical lens substrates

Diamond (High Dispersion)n = 2.417

Critical angle in air θ_c = 24.4°

20 行数值对照表

Angle of Refraction (θ₂ (°)) · Incident Refractive Index (n₁)

Snell's Law Optical Refraction Calculator — Incident Refractive Index → Angle of Refraction
#Incident Refractive Index (n₁)Angle of Refraction (θ₂ (°))Δ %
011 当前28.1255 0.00%
021.0405 29.374 +4.44%
031.0811 30.6381 +8.93%
041.1216 31.9188 +13.49%
051.1621 33.2177 +18.11%
061.2026 34.5361 +22.79%
071.2432 35.8758 +27.56%
081.2837 37.2385 +32.40%
091.3242 38.6263 +37.34%
101.3647 40.0416 +42.37%
111.4053 41.4868 +47.51%
121.4458 42.965 +52.76%
131.4863 44.4797 +58.15%
141.5268 46.0347 +63.68%
151.5674 47.6348 +69.37%
161.6079 49.2855 +75.23%
171.6484 50.9934 +81.31%
181.6889 52.7666 +87.61%
191.7295 54.6152 +94.18%
201.77 56.552 +101.07%
这个工具对您有帮助吗?

常见问题解答 (FAQ)

如何使用在线 斯涅尔定律(光的折射定律)计算器 工具?+

输入已知参数或拖动滑块,即可在浏览器中实时计算并可视化 斯涅尔定律(光的折射定律)计算器(基于关系式 n₁ × sin(θ₁) = n₂ × sin(θ₂))。根据 n₁ sin(θ₁) = n₂ sin(θ₂) 计算折射角、入射角或两种光学介质的折射率。

可以导出或打印 斯涅尔定律(光的折射定律)计算器 的结果吗?+

可以。支持一键复制数据、打印计算工作表或导出高清 SVG、PNG 和 CSV 文件。

我可以清空 斯涅尔定律(光的折射定律)计算器 中的示例数据并从空白状态开始吗?+

可以。点击工具顶部的“清空 / 空白开始”按钮即可重置所有输入项,随时也可一键重新加载示例数据。