Spherical Surface Refraction Simulation
Interactive demonstration of refraction at curved interfaces
Air
Glass
Current Parameters
Medium 1 (n₁): 1.00 (Air)
Medium 2 (n₂): 1.50 (Glass)
Radius (R): +20.0 cm
Surface Type: Convex
Object Distance (u): 30 cm
Calculated Results
Image Distance (v): --
Magnification (M): --
Image Type: --
Image Orientation: --
Image Size: --
Refraction Formula
n₂/v - n₁/u = (n₂-n₁)/R
M = -(n₁×v)/(n₂×u)
1.50/v - 1.00/30 = (1.50-1.00)/20
Snell's Law: n₁sin(θ₁) = n₂sin(θ₂)
Advanced Information
Critical Angle: --
Total Internal Reflection: No
Center of Curvature: --
Mathematical Derivation:
For spherical refraction: applying Snell's law at each point on the curved surface and using paraxial approximation leads to the refraction formula.
Ray Legend
Incident Ray
Refracted Ray
Normal Line
Object
Image
Virtual Ray



