Mirror Reflection Calculator

Interactive ray tracing for plane and curved mirrors

Interactive Ray Diagram

Angle between incident ray and normal

Results

Enter values and click Calculate to see the result.

Theory & Formula

Mirrors reflect light according to the law of reflection: the angle of incidence equals the angle of reflection.

Mirror Types:

  • Plane Mirror: Flat surface, produces virtual images of same size
  • Concave Mirror: Converging mirror, focal point in front (f > 0)
  • Convex Mirror: Diverging mirror, focal point behind (f < 0)

Mirror Equation: \(\frac{1}{f} = \frac{1}{u} + \frac{1}{v}\)

  • \(f\) = focal length
  • \(u\) = object distance (always positive)
  • \(v\) = image distance (positive for real, negative for virtual)
  • \(m = -\frac{v}{u}\) = magnification
\(\frac{1}{f} = \frac{1}{u} + \frac{1}{v}, \quad m = -\frac{v}{u}\)

Worked Examples

Plane Mirror

\(\theta_i = \theta_r\), virtual image at same distance behind mirror

Concave Mirror

Converging mirror, can form real or virtual images

Convex Mirror

Diverging mirror, always forms virtual, diminished images

Mirror Reflection Calculator - Ray Tracing | MathCalcLab | MathCalcLab