Changes

== First Iteration==

== First Iteration==

With this known, we were able to create a basic spreadsheet. While many details of this sheet would later be proven wrong or simply be abandoned, the concepts are valid, and it is a sufficient starting point.

With this known, we were able to create a basic spreadsheet. While many details of this sheet would later be proven wrong or simply be abandoned, the concepts are valid, and it is a sufficient starting point.

To make the math easier, the lens asembly would be broken down into the four lenses. For each lens, an image would be generated from the object, and that image would then be treated as the object for the next lens. This means, for instance, that the light rays traveling from the object would pass through the first lens and generate an image at some distance within the lens assembly. This image would then be treated as the object for the second lens, which would generate an image used as the object for the fourth lens, and so on.

To make the math easier, the lens asembly would be broken down into the four lenses, all of which would be approximated as thin lenses. For each lens, an image would be generated from the object, and that image would then be treated as the object for the next lens. This means, for instance, that the light rays traveling from the object would pass through the first lens and generate an image at some distance within the lens assembly. This image would then be treated as the object for the second lens, which would generate an image used as the object for the fourth lens, and so on.

This was fairly simply done.  

This was fairly simply done. For a thin lens,

[[Image:http://upload.wikimedia.org/wikipedia/en/7/71/Lens3.svg|thumb|A thin lens focusing. Image taken from Wikipedia]]

 

<math>\frac{1}{D} + \frac{1}{L} = \frac{1}{F}</math>

 

 

<math>L = \frac{D * F}{D - F}</math>

 

where D is the distance from the object to the lens, L is the distance from the lens to the object, and F is the focal length of the lens.

This equation was used to generate each image. The magnification of each image can be calculated by

 

<math>\frac{M _1}{D} = \frac{M _2}{L}</math>

 

 

<math>M _2 = \frac{S _2}{S _1} M _1</math>

 

where <math> M _1 </math> is the size of the object and <math> M _2 </math> is the size of the image.