Critical Angle Calculator
Calculate the critical angle for total internal reflection
About this calculator
The Critical Angle Calculator determines the minimum angle of incidence at which total internal reflection occurs when light travels from a denser medium to a less dense medium. This phenomenon is crucial in optics, fiber optics, and optical device design. Understanding the critical angle helps predict light behavior at interfaces, enabling engineers and students to design efficient optical systems, analyze wave propagation, and solve complex refraction problems in physics and engineering applications.
How to use
Enter the refractive index of the denser medium (n1) and the less dense medium (n2) into the input fields. The calculator uses Snell's law to compute the critical angle using the formula: θc = arcsin(n2/n1). Results are displayed in both degrees and radians for convenient reference.
Frequently asked questions
What happens when the angle exceeds the critical angle?
Total internal reflection occurs, meaning all incident light is reflected back into the denser medium with no light transmitted.
Can the critical angle exist for any medium combination?
No, the critical angle only exists when light travels from a denser medium to a less dense medium (n1 > n2).
What are common applications of critical angle principles?
Fiber optic cables, prisms, periscopes, optical waveguides, and diamond cutting all utilize critical angle principles for efficient light transmission.