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Optics Calculators

Free online optics calculators for Snell's law of refraction, thin lens equation, and magnification.

Calculate refraction angle or refractive index.

Calculate focal length, image distance, and magnification.

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Calculate refraction angle or refractive index using Snell's law: n₁ sin θ₁ = n₂ sin θ₂

Medium 1 (n₁) Medium 2 (n₂) Incident Angle θ₁ (°) Refraction Angle θ₂ (°)

Result

θ₂ = 32.06°

n₁ sin(θ₁) = n₂ sin(θ₂) = 0.708

Critical Angle

48.61°

Deflection

12.94°

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Calculate focal length, object/image distances, and magnification using the thin lens equation

Focal Length (f, cm) Object Distance (d₀, cm) Image Distance (dᵢ, cm)

Result

dᵢ = 16.67 cm

1/f = 1/d₀ + 1/dᵢ = 0.100

Magnification

0.67×

Image Type

Real

Orientation

Inverted

Power (diopters)

10.00 D