# Optics and Lenses

This page contains references to various papers dealing with
optics. In particular, lenses, microscopes, telescopes and other optical
instruments are considered.

## Snell's Law

There are a number of ways to prove *Snell's law*. A purely
geometric proof is provided here.

**Refraction Diagram for Snell's Law**

## Finding the Focal Point of a Spherical Mirror or Lens

A paper deriving the relationship between the radius of
curvature and the focal point of spherical optical surface is presented
here: *focalpt.pdf*

## Derivation of Lens Relations

*Lens, Object and Image*

In elementary discussions of lenses it is stated that the
following equation holds:

*1/f = 1/p + 1/q*

A proof is given in *lensfoc.pdf
.*

## Lensmaker's Formula

The lensmaker's formula related the focal point of a lens with the radii of
curvature and the index of refraction. A paper deriving the formula is here *lensmaker.pdf*

**Ray Diagram for Analysis**