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Visualization of the lens equation

The interactive animation represents the geometric relationships described by the lens equation.

You can zoom in and zoom out the rectangle in the animation by clicking on it.

The animation was developed as a offline application for Windows and Macintosh systems and for integration into Microsoft PowerPoint slides. The online version presented here serves as a preview. The exe or app file can be downloaded free of charge in the member area.

Full screen


After the download, the animation can be displayed in full screen mode. Integration into PowerPoint is also possible.


The animation contains two areas with the following content:

leftExample of an optical mapping with the most important rays
rightThe mathematical laws as formulas

The focal length of the lens and the object height can be continuously adjusted via two controls. All the elements shown are continuously adapted in real time.


$f$: Focal length of the lens
$g$: Object distance
$b$: Image distance
$G$: Object height
$B$: Image height


The lens equation (also Newtons equation) is:

$$\frac{1}{f} = \frac{1}{g} + \frac{1}{b}$$

$f$: Focal length of the lens
$g$: Object distance
$b$: image distance


Title:Visualization of the lens equation
Target group:
  • Teachers and lecturers
  • Self-learners
Platforms (primary):
  • Microsoft® Windows®
  • Microsoft® PowerPoint®
  • Apple® Macintosh®
  • Enlargeable without loss
  • No installation required
DocumentsLicense Information
About the security of the Flash Player

Advanced animations for PCs

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Reflection law

Die Animation zeigt eine Linse, die einen Lichtstrahl fokussiert. Jeder Farbanteil des Lichts bildet einen anderen Fokuspunkt.
Principle of chromatic aberration

Die Animation zeigt eine Linse, das einen Lichtstrahl fokussiert. Aufgrund der sphärischen Aberration entstehen unterschiedliche Fokuspunkte.
Principle of spherical aberration

Die Animation zeigt eine Linse, dessen numerische Apertur interaktiv verändert werden kann. In Abhängigkeit von der numerischen Apertur verschiebt sich der Brennpunkt der Linse.
Concept of numerical aperture


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