Cherenkov Radiation Cone

This interactive simulator explores Cherenkov Radiation Cone in Electricity & Magnetism. Charged particle in a medium of refractive index n: spherical wavefronts of phase velocity c/n pile up on a Mach-like cone with half-angle cos θ_c = 1/(βn) once β > 1/n. Animated wavefronts, magenta cone envelope and material presets (water, glass, diamond) explain the blue glow of pool reactors and IceCube/Super-Kamiokande detection. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.

Who it's for: For learners comfortable with heavier math or second-level detail. Typical context: Electricity & Magnetism.

Key terms

  • cherenkov
  • radiation
  • cone
  • cherenkov cone
  • electricity
  • magnetism

How it works

Cherenkov radiation simulator: a charged particle of speed v = βc traversing a medium of refractive index n. Spherical light wavefronts of speed c/n form a Mach-like cone with half-angle cos θ_c = 1/(βn) when β > 1/n. Below threshold the wavefronts overtake the particle; above threshold the magenta cone is the famous Cherenkov radiation pattern.