Thin Lens Equation

This interactive simulator explores Thin Lens Equation in Optics & Light. Hyperbola d_i(d_o), pole at d_o = f, schematic + 1/d check. 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: Suited to beginners and first exposure to the topic. Typical context: Optics & Light.

Key terms

  • thin
  • lens
  • equation
  • thin lens equation
  • optics
  • light

Live graphs

How it works

The Gaussian thin-lens formula relates object distance, image distance, and focal length. The graph of d_i versus d_o is a hyperbola with a vertical asymptote at d_o = f for a converging lens. Moving the pink point with the d_o slider shows how small changes near the focal plane send the image to infinity or flip the sign of d_i.

Key equations

1/f = 1/d_o + 1/d_i
d_i = d_o f / (d_o − f)  ·  m = −d_i/d_o