Physic Labs

Optics

Total internal reflection and optical fibers

Send light from a denser to a rarer medium and find the critical angle sin⁡θc=n2/n1\sin\theta_c=n_2/n_1 where refraction disappears and total internal reflection begins — the mechanism that guides light in optical fibers.

High school

⚠ Never look into the end of an optical fiber or a collimated beam — coupling optics can concentrate invisible laser light onto the retina.

Equipment

  • Two-media interface with incident, reflected and refracted rays
  • Slider “Góc tới” (incidence angle)
  • Sliders “Chiết suất n₁” and “Chiết suất n₂” (indices)
  • “Đặt lại tham số” (reset) button

Procedure

  1. Increase the incidence angle

    With n₁>n₂, drag the incidence-angle slider up slowly. The refracted ray bends away from the normal and runs along the interface at the critical angle; beyond θc\theta_c no refracted ray exists and all light reflects. Read θc\theta_c where the refracted ray vanishes.

  2. Verify Snell's law

    Compute θc=arcsin⁡(n2/n1)\theta_c=\arcsin(n_2/n_1) from the slider indices and compare with your reading — for glass into air (n1=1.5n_1=1.5, n2=1.0n_2=1.0) expect θc≈41.8°\theta_c\approx41.8°. Then set a subcritical angle and check n1sin⁡θ1=n2sin⁡θ2n_1\sin\theta_1=n_2\sin\theta_2 against the drawn refracted ray.

  3. Build a light guide

    Reduce n₂ or raise n₁ so θc\theta_c shrinks, then choose an incidence angle well above it — as in a fiber core at steep angles. Explain why rays bouncing along a fiber lose almost no energy, and what breaks the condition if the light arrives from air into glass.

Simulation

Experiment history

Snell's law of refraction circulated in manuscript around 1621 and was published by Descartes in 1637; total internal reflection appears as a consequence whenever light meets a rarer medium steeply enough. Tyndall demonstrated it to audiences in 1870 by guiding light along a falling water jet — the first public “light pipe.” Physicist Narinder Kapany coined “fiber optics” in the 1950s, and Charles Kao argued in 1966 that glass fibers pure enough for telecommunications could be made — earning him the 2009 Nobel Prize. The same critical-angle physics underlies prisms, fingerprint readers, and the evanescent-wave sensors of modern microscopy.

Related physicists

Related library topics