What you provide
What you provide
- Incident-medium index, using the same scenario as the other inputs
- Transmitted-medium index, using the same scenario as the other inputs
PHYSICS / GEOMETRIC OPTICS
Critical Angle Calculator
Calculate total-internal-reflection critical angle between two media. See the governing equation, substituted values, result, assumptions, and interpretation in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Calculate total-internal-reflection critical angle between two media. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
theta_c=asin(n2/n1)
What you receive
What you receive
- Critical angle in deg from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
Light travels from the higher-index medium toward the lower-index medium.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors