What Lenses Are Needed for Minimal Movement and Infinity Focus?

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Discussion Overview

The discussion revolves around the design of a lens system aimed at achieving minimal movement while maintaining the ability to focus at infinity. Participants explore the mathematical and experimental aspects of lens configuration, specifically using plano-concave and plano-convex lenses.

Discussion Character

  • Exploratory, Technical explanation, Mathematical reasoning

Main Points Raised

  • One participant describes their experimental setup and the relationship between the positioning of the plano-concave and plano-convex lenses and the focal point's location.
  • Another participant suggests using ray transfer matrix analysis to model the lens configuration, indicating that geometrical parameters should be treated as variables.
  • A participant expresses a lack of advanced mathematical background but shows willingness to research the suggested method.
  • There is a suggestion that basic matrix multiplication is sufficient for the analysis, and a programming approach could be used to adjust parameters for desired outcomes.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the specific lens parameters needed, and multiple approaches to modeling the problem are discussed without resolution.

Contextual Notes

Limitations include the lack of specified geometrical parameters and the need for further exploration of the mathematical modeling techniques suggested.

artiswar
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Posted a while back but to no avail. I've since done some tinkering but need a little bit of help perfecting the math.
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I've constructed an experimental version of the above set up with success. Moving the plano-concave element away from the plano convex element brings the focal point towards the sensor. Moving the concave element back towards the convex element pushes the focal point further away.

What I'm trying to figure out is what power or focal length lenses I need to construct this. I want minimal movement (around 5-10mm) and to be able to achieve infinity (afocal). Any advice is much appreciated!
 
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Are you familiar with ray transfer matrix analysis?

http://en.wikipedia.org/wiki/Ray_transfer_matrix_analysis

You should be able to model your configuration with such matrices, leaving the geometrical parameters (radius of lens elements, distance between the plano-convex and plano-concave elements) as variables.

You then solve for the distance for focus to the nearest point and to infinity.
 
I should have specified, I only hold a BA. I'll do some research on this.
 
As long as you manage to multiply 2x2 matrices you'll be fine.

In the worst case you can write a little computer program in python or basic and tweak the parameters until you get what you want.
 

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