Designing a planocovex PMMA lens

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Discussion Overview

The discussion revolves around the design and calculation of a planoconvex PMMA lens intended to convert rotary movement into a sweeping motion. Participants explore the specifications of the lens, including its length, focal distance, and the requirement for parallel light output.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant seeks assistance in calculating the curvature of a PMMA lens with specific dimensions and optical requirements.
  • Another participant suggests that placing the center of rotation at the focal point of the lens will suffice, noting that any lens with an 80mm focal length and a 120mm diameter could work, but warns of potential aberrations with a fast lens.
  • The original poster clarifies that the curvature calculation is necessary due to the constraints of making the lens themselves using a CNC laser cutter and the different refractive index of PMMA compared to glass.
  • A later reply mentions the lensmaker formula as a potential solution for calculating the curvature needed for the lens design.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the necessity of calculating the curvature versus simply using the focal length and diameter. There are differing views on the implications of using a fast lens and the associated aberrations.

Contextual Notes

Participants acknowledge limitations related to the material properties of PMMA and the specific design constraints imposed by the available space and manufacturing method.

Who May Find This Useful

This discussion may be useful for individuals interested in optics design, particularly those working with non-traditional materials like PMMA and those involved in DIY lens fabrication.

Antraxius
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As an electrical engineer, I am an amateur on optics, but I really could use some help.
I am making a lens of PMMA, 2D. To 'convert' a rotary movement into a sweep.

The lens needs to be 120mm long, with its focus at a max distance of 80mm
the light traveling out of the lens needs to be parallel with the main axis of the lens.

To clarify, I’ve uploaded an image.

Could someone help me calculating the curvature of the lens?
 

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Antraxius said:
As an electrical engineer, I am an amateur on optics, but I really could use some help.
I am making a lens of PMMA, 2D. To 'convert' a rotary movement into a sweep.

The lens needs to be 120mm long, with its focus at a max distance of 80mm
the light traveling out of the lens needs to be parallel with the main axis of the lens.

To clarify, I’ve uploaded an image.

Could someone help me calculating the curvature of the lens?

If I understand you, you simply want to place the center of rotation at the focal point of your lens; any focal length lens will work, the diameter of the lens will set the angular range of scan- not sure why you need to calculate the curvature. So an 80mm focal length lens of diameter 120mm will work, although that's a fast lens and you will have significant aberrations. Making the lens faster (focal length shorter than 80mm, maintaining a 120mm diameter) will increase the aberrations.
 
That is correct, the measurements are set as a maximum. Since we have limited space available. I need to know the curvature because I am making the lens myself. Using a CNC laser cutter, and the material isn't glass but PMMA which has a different n-index.
 
Antraxius said:
That is correct, the measurements are set as a maximum. Since we have limited space available. I need to know the curvature because I am making the lens myself. Using a CNC laser cutter, and the material isn't glass but PMMA which has a different n-index.

The lensmaker formula (lensmaker equation) is what you are looking for.
 

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