lensmakerformelen

The lensmaker's equation, also known as the lensmaker's formula, is a mathematical relationship used to determine the focal length of a lens based on its physical properties. It is derived from the principles of geometric optics and is fundamental in the design and analysis of optical systems. The equation is expressed as:

1/f = (n - 1) * (1/R1 - 1/R2)

where:

- f is the focal length of the lens,

- n is the refractive index of the lens material,

- R1 and R2 are the radii of curvature of the lens surfaces.

The lensmaker's equation assumes that the lens is thin, meaning that the thickness of the lens is negligible compared to its radii of curvature. It also assumes that the lens is symmetric, with the same refractive index throughout its thickness.

The equation can be used to calculate the focal length of a lens given its radii of curvature and refractive index, or to determine the required radii of curvature for a lens with a desired focal length. It is widely used in the fields of optics, photography, and vision science.

The lensmaker's equation was first derived by the Dutch physicist Willebrord Snellius in the 17th century, and it has since become an essential tool for optical designers and engineers. It is a simple yet powerful equation that provides valuable insights into the behavior of lenses and their optical properties.