Building a half-mile long photogate and fighting diffraction

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Homework Help Overview

The discussion revolves around the challenge of accurately measuring a straight line over a long distance (approximately 2000 ft) using a laser. The original poster is concerned about the effects of diffraction on their measurement technique, particularly when trying to achieve precision within a millimeter.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster describes their initial method of using a card to block the laser beam and questions the impact of diffraction on the accuracy of their measurements. They consider the possibility of using a narrow slit instead of an edge to improve precision. Other participants suggest experimenting with focusing techniques and question the effectiveness of focusing a laser beam over such a distance.

Discussion Status

Participants are exploring various methods and questioning the assumptions behind the original poster's approach. Some guidance has been offered regarding the potential challenges of focusing the laser and the implications of using a slit. The conversation remains open-ended, with no explicit consensus reached.

Contextual Notes

There is a mention of the difficulty in achieving high relative accuracy (10^-6) and the challenges posed by diffraction effects at long distances. The original poster's concern about the measurement method indicates a need for precision in their setup.

Madysepanganahi
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I’ve got a laser that I want to use to measure a straight line (preferably within about a millimeter) over about 2000 ft. My first thought was to focus my laser better and bring up a card until it cut the beam completely, but focusing down to a millimeter point so far away feels pretty unachievable. Instead I put a tiny speck of retroreflective film up at the far end and raised a card through the beam till the shadow of the card stopped the light from hitting the reflector. In a world with ballistic light this would work perfectly, but unfortunately we live in a world with diffraction, so if you set the card partway through the beam and walk to the end to look at it, the “shadow” of the card is super fuzzy and has diffraction fringes around it, decreasing the accuracy of my measurement.

(unless that first order fuzziness is actually linear with distance to the target and I’m not actually losing accuracy at the card? It’s hard to tell)

I’m now imagining using a moderately narrow (1mm) slit instead of an edge and moving it up and down until the reflected light is brightEST, but I feel like there should be a better, more precise way. Does anybody have any thoughts?

Thanks so much!
 
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Hello Madysepanganahi, :welcome:


Madysepanganahi said:
I’ve got a laser that I want to use to measure a straight line (preferably within about a millimeter) over about 2000 ft.
You want to measure that length, I suppose. What is the measuring method you have in miind ?

My first thought was to focus my laser better
experiment with that a little bit: no focusing versus focusing. Could well be that the laser beam is almost parallel light and therefore focusing with a single lens doesn't help much for what you want to do ...

unless that first order fuzziness is actually linear with distance to the target
might well be, but the width of the slit is also in the expression and to determine that with a relative accuracy of 10-6 is extremely hard...
I’m now imagining using a moderately narrow (1mm) slit instead of an edge and moving it up and down until the reflected light is brightest
What information would that reveal ?
 
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BvU said:
Hello Madysepanganahi, :welcome:


You want to measure that length, I suppose. What is the measuring method you have in miind ?

experiment with that a little bit: no focusing versus focusing. Could well be that the laser beam is almost parallel light and therefore focusing with a single lens doesn't help much for what you want to do ...Rufus[/color] 123Movies[/color] GoMovies[/color]


might well be, but the width of the slit is also in the expression and to determine that with a relative accuracy of 10-6 is extremely hard...
What information would that reveal ?
thankyou so much! but my issue has resolved!
 
Madysepanganahi said:
thankyou so much! but my issue has resolved!
Well, don't keep us in suspense! What did you come up with?
 

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