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Snell Refraction Angle Calculator

Use this online snell refraction angle calculator with labeled inputs and a worked example. n₁ sin θ₁ = n₂ sin θ₂.

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refraction angle calculator online

Use snell refraction angle calculator online with the physical quantities shown below. Angles measured from the normal; reports total internal reflection instead of an impossible angle.

How to use it

Enter Incident refractive index (dimensionless). Set Transmitted refractive index (dimensionless), Incident angle from normal (degrees). Select Calculate, check the result units, then copy or download the JSON result.

Options and example settings

OptionChoices / valueExample default
Incident refractive index (dimensionless)Main input. Decimal or scientific notation. Positive values only. 1
Transmitted refractive index (dimensionless)Option. Decimal or scientific notation. Positive values only. 1.5
Incident angle from normal (degrees)Option. Decimal or scientific notation. Zero or positive values. Maximum 90.30

Calculation method

n₁ sin θ₁ = n₂ sin θ₂

Worked examples

Worked case for snell refraction angle calculator. Angles measured from the normal; reports total internal reflection instead of an impossible angle.

Snell Refraction Angle Calculator — example with explicit inputs

Settings: Transmitted refractive index (dimensionless): 1.5; Incident angle from normal (degrees): 30

Input:

1

Expected result for the example input and options:

Output:

{
  "total_internal_reflection": false,
  "refracted_angle_deg": 19.47122063449069
}

Limitations and common mistakes

  • Angles measured from the normal; reports total internal reflection instead of an impossible angle.
  • Match every input to its displayed unit; scientific notation such as 1e-6 is accepted.
  • This is the documented idealized model; real systems may require additional effects and measurement uncertainty.

Frequently asked questions

How can I use refraction angle calculator online?

Enter Incident refractive index (dimensionless). Set Transmitted refractive index (dimensionless), Incident angle from normal (degrees). Select Calculate, check the result units, then copy or download the JSON result.

Which model does Snell Refraction Angle Calculator use?

n₁ sin θ₁ = n₂ sin θ₂. Angles measured from the normal; reports total internal reflection instead of an impossible angle.

Technical references

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.

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