Calcolatrice rifrazione lente

Calcola la formazione di immagini attraverso le lenti con diagrammi di raggi interattivi. Esplora lenti convergenti e divergenti

Ray Diagram

Blue rays show principal ray paths. Green line shows real image.

Positive for converging lens

Risultati

Inserisci i valori e clicca Calcola per vedere il risultato.

Theory & Formula

Lenses refract (bend) light to form images. The thin lens equation relates object distance, image distance, and focal length.

Lens Types:

  • Converging (Convex): Thicker at center, positive focal length, converges parallel rays
  • Diverging (Concave): Thinner at center, negative focal length, diverges parallel rays

Sign Convention (Cartesian):

  • Distances measured from optical center of lens
  • Real images: \(v > 0\) (opposite side from object)
  • Virtual images: \(v < 0\) (same side as object)
  • Inverted images: \(m < 0\)
  • Upright images: \(m > 0\)

Power of Lens: \(P = \frac{1}{f}\) (in meters), measured in diopters (D)

\(\frac{1}{f} = \frac{1}{v} + \frac{1}{u}, \quad m = \frac{v}{u} = \frac{h'}{h}\)

Worked Examples

Converging Lens

\((f > 0)\) Object beyond 2F: Real, inverted, diminished image between F and 2F

Converging Lens

Object between F and 2F: Real, inverted, magnified image beyond 2F

Diverging Lens

\((f < 0)\) Always forms virtual, upright, diminished image on same side
Lens Refraction Calculator - Ray Diagrams | MathCalcLab | MathCalcLab