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Snell's Law & Optical Refraction Calculator (n₁ sin θ₁ = n₂ sin θ₂)

Geometric optics and wave physics tool. Computes light ray bending transitioning from medium 1 to medium 2 with differing refractive indices.

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Adjust values on the left to calculate live results.

Formula: Snell's Law: n1 * sin(θ1) = n2 * sin(θ2) ⇒ θ2 = asin((n1 * sin(θ1)) / n2). Critical Angle θ_c = asin(n2 / n1) if n1 > n2.

In-Depth Guide & Mathematical Methodology

🌈 Refractive Indices & Snell's Law

Air: n ≈ 1.00

Water: n ≈ 1.33

Crown Glass: n ≈ 1.52

Diamond: n ≈ 2.42

Frequently Asked Questions (FAQ)

What is the Snell's Law & Optical Refraction Calculator (n₁ sin θ₁ = n₂ sin θ₂) and how does it work?

Geometric optics and wave physics tool. Computes light ray bending transitioning from medium 1 to medium 2 with differing refractive indices.

How do I use this Snell's Law & Optical Refraction Calculator (n₁ sin θ₁ = n₂ sin θ₂)?

Enter or Select Medium 1 Refractive Index ($n_1$, e.g. Air = 1.0003). Enter Incident Angle ($θ_1$ in degrees °). Enter or Select Medium 2 Refractive Index ($n_2$, e.g. Water = 1.333, Glass = 1.50). View Calculated Refracted Angle ($θ_2$) and Critical Angle for total internal reflection.

What mathematical formula is used in this calculation?

Snell's Law: n1 * sin(θ1) = n2 * sin(θ2) ⇒ θ2 = asin((n1 * sin(θ1)) / n2). Critical Angle θ_c = asin(n2 / n1) if n1 > n2.

Is the Snell's Law & Optical Refraction Calculator (n₁ sin θ₁ = n₂ sin θ₂) on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

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