Alok Das
Alok DasChemistry · Research
Physics · Core Concepts

Refraction & Snell's Law

Quantify optical ray deflection across dielectric interfaces and determine critical angles for total internal reflection.

Incident Angle (θ₁)30.0°
Refracted Angle (θ₂)22.0°
Critical Angle (θ_c)N/A (n₁ ≤ n₂)
Optical RegimeRefraction & Transmission
Medium 1: Air (Vacuum) (n = 1)Medium 2: Water (20°C) (n = 1.333)Normal
Ray Optics Diagram · Incident (Red), Reflected, and Refracted (Cyan)
Incident Angle (θ₁)30°
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Snell's Law & Total Internal Reflection

When light crosses a boundary between two transparent media with differing refractive indices, its velocity changes, causing the ray trajectory to bend. Snell's law quantifies this relationship:

n₁ sin θ₁ = n₂ sin θ₂ and θ_c = arcsin(n₂/n₁) (for n₁ > n₂)

If light travels from a denser medium (higher n₁) toward a rarer medium (lower n₂), there exists a critical angle θ_c at which the refracted ray grazes the interface at 90°. Exceeding this angle causes 100% of incident radiant power to reflect back into the first medium—a phenomenon termed Total Internal Reflection (TIR), which forms the physical basis for fiber-optic telecommunications.

Model Assumptions & Optical Parameters

  • Monochromatic plane wave optical ray incident upon an optically flat, non-absorbing interface.
  • Isotropic media with uniform refractive indices.

Frequently Asked Questions

What causes light to refract?

Refraction occurs because light travels at different phase velocities in media of different optical densities (v = c / n).

What is total internal reflection?

When light travels from an optically denser medium to a rarer medium at an angle exceeding the critical angle, 100% of the light reflects back with zero transmission.

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These interactive tools are personal side-projects built for exploration and utility. My primary professional commitment is in M.Sc. Chemistry, analytical research, and laboratory methodology.

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