Relay Lens Example

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20.309: Biological Instrumentation and Measurement

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Example 1: Relay lens system

Your friend is building an endoscope, where she wants to faithfully extend an image across a long distance. She proposes a system composed of two convex lenses having the same focal length (f) shown below.

RelayLensExample1.png

A) Trace the rays to check her work and see where the image is formed.

B) Is the final image the same orientation as the original image, or is it inverted?

C) Use the lens equation to find the distance between the final image and the one she started with.

The following diagrams will answer consider the optical system step by step. We will consider what happens through the first lens, and then the second lens. In the course of our ray tracing we will answer the above questions.

RelayLensStep1.png
RelayLensStep2.png
RelayLensStep3.png
RelayLensStep4.png
RelayLensStep5.png

Back to Geometrical optics and ray tracing