Changes

== First Iteration==

== First Iteration==

(Image 002)

[[Image:Thin_Lenses_002_(Lenses_Reflecting).png|thumb|The top and bottom light paths for an object (on the left), traveling through arbitrary lenses and resolving an image (on the right).]]

(Image 003)

[[Image:Thin_Lenses_003_(Image_Height).png|thumb|Calculating the height of an image. In this diagram, the image is formed (unfocused) before the focal point because of the lens spacing. Only one light path is shown. This math, while invalid, led to more accurate calculations in the third 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.

== Second Iteration ==

== Second Iteration ==

(Image 005)

[[Image:Thin_Lenses_005_(Single_Ray).png|thumb|Two light paths, from an object off the left side of the frame. The vertical lines are the lenses. Notice how the light rays cross through the focal point and continue through to the next lens.]]

If the light entering the lens assembly is colimnated and enters the , then the top and bottom beams (the only two beams needed to locate the image) will travel through the first lens parallel, and both will cross through the focal point. The size of the image will then be

If the light entering the lens assembly is colimnated and enters the , then the top and bottom beams (the only two beams needed to locate the image) will travel through the first lens parallel, and both will cross through the focal point. The size of the image will then be

== Third Iteration ==

== Third Iteration ==

(Image 004)

[[Image:Thin_Lenses_004_(Collimnated_Rays).png|thumb|A ray entering the lens assembly at an angle such that it is normal to the lens. If we treat this ray is the topmost ray in a collimnated beam and its reflection around the center of the lenses (the horizontal line) as the lowermost ray, we can find the image height. Values are as explained in the text.]]

Still assuming that the collimnated light will enter the lens at a zero angle, any given light path will pass through the focal point of the first lens and will then pass through a particular point in the focal plane of the other lenses. This point can be calculated by tracing the trajectory of a theoretical beam of light passing through the center of the first lens at the same angle that the actual beams traced before entering the lens.

Still assuming that the collimnated light will enter the lens at a zero angle, any given light path will pass through the focal point of the first lens and will then pass through a particular point in the focal plane of the other lenses. This point can be calculated by tracing the trajectory of a theoretical beam of light passing through the center of the first lens at the same angle that the actual beams traced before entering the lens.