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Critical Angle for Total Internal Reflection

Use this online critical angle for total internal reflection with labeled inputs and a worked example. θc = asin(n₂/n₁).

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total internal reflection angle calculator online

Use critical angle for total internal reflection online with the physical quantities shown below. Only applies when light travels from higher to lower refractive index.

How to use it

Enter Incident refractive index (dimensionless). Set Second refractive index (dimensionless). 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. 1.5
Second refractive index (dimensionless)Option. Decimal or scientific notation. Positive values only. 1

Calculation method

θc = asin(n₂/n₁)

Worked examples

Worked case for critical angle for total internal reflection. Only applies when light travels from higher to lower refractive index.

Critical Angle for Total Internal Reflection — example with explicit inputs

Settings: Second refractive index (dimensionless): 1

Input:

1.5

Expected result for the example input and options:

Output:

{
  "critical_angle_deg": 41.810314895778596
}

Limitations and common mistakes

  • Only applies when light travels from higher to lower refractive index.
  • 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 total internal reflection angle calculator online?

Enter Incident refractive index (dimensionless). Set Second refractive index (dimensionless). Select Calculate, check the result units, then copy or download the JSON result.

Which model does Critical Angle for Total Internal Reflection use?

θc = asin(n₂/n₁). Only applies when light travels from higher to lower refractive index.

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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