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  • Where is the darkest part of a shadow?

  • I mean the obvious answer seems to be, right in the middle.

  • If you look closely at a shadow, as you move the object away from the wall,

  • you notice that the shadow gets a bit fuzzy.

  • So clearly, the edges are lighter.

  • Now, we know that light bends around corners,

  • that's a phenomenon call "diffraction".

  • So, is it diffraction that's responsible for the fuzzy edges of shadows?

  • Actually?... No.

  • The reason that shadows have fuzzy edges,

  • is because most light sources like the sun are not perfectly point objects.

  • So, light from one edge of the sun is coming at a very slightly different angle

  • from light from the other edge of the sun, and that's what gives us these fuzzy edges. It's not diffraction.

  • But diffraction can play a significant role in shadows,

  • and in fact, it was the cause of a massive debate, about 200 years ago...

  • In 1818, the French Academy sponsored a competition to try to find the best explanation of diffraction.

  • And Augustine Fresnel entered this competition with the suggestion that light is a wave phenomenon.

  • And just like any ordinary wave, it bends as it passes around an obstacle.

  • But one of the judges was Simeon Poisson, a harsh critic of the wave theory.

  • He much preferred Newton's idea that light was a stream of particles.

  • And to show just how ridiculous the wave theory was,

  • He showed that Fresnel's theory would predict a bright spot in the shadow,

  • right in the middle of the shadow behind a circular object.

  • That there would be a spot, almost as bright as if the object wasn't there at all.

  • And he thought this was absurd. But my question is,

  • Does it exist? Is the brightest part of a shadow really in the middle?

  • To find out, we're gonna have to do the experiment.

  • So first I had to find some circular obstacles.

  • I selected spheres instead. I got some marbles and some small spherical magnets.

  • Then for a powerful light source and a large distance to the screen, I selected a lecture theater with a projector.

  • Now the first thing we're gonna need is a small aperture for the light to pass through.

  • So I'm gonna poke a hole in this card with a screw.

  • It's important to have a small aperture because you want the light to be in phase.

  • And that should work if it's all coming out of this small little aperture.

  • But when I put a sphere in front of it ...

  • Alright, somebody hit the lights. Here we go...

  • I can't see a bright spot. I can't really see anything.

  • So next I tried a cellphone flashlight, putting a marble in front of that

  • And again I could see nothing.

  • I don't see anything in the middle.

  • The idea with Poisson's spot is that light should diffract around a circular object, or a sphere,

  • And because the center of the shadow is equidistant from all the edges of that obstacle,

  • all of the light should constructively interfere at that point creating that bright spot.

  • So next I tried an overhead projector.

  • I tried a string of the small spherical magnets.

  • It's weird. Like, I feel like I can see it.

  • Derek: Do you think you can see a bright spot in the middle of that bottom one? Girl: No.

  • Derek: No?

  • I feel like in the very center of each one, I can see a bright spot.

  • I don't know. My eyes are just totally going nuts up here.

  • Like, staring at shadows and trying to see what we want.

  • But this one is opaque. It's nice and speherical. Set it down...

  • And if I adjust the focus...

  • You can see there's a bright spot right in the middle of that marble.

  • So the spot looks pretty good, but something about it didn't sit right with me.

  • And you know, when you think something is true,

  • you really should try as hard as you can to disprove it.

  • What if you used your fingers to kind of make the edges less spherical? Yeah

  • You see now that, that I think is concerning, that fact we can still see a bit of spot even though

  • it looks like you're...

  • Right? How is the light getting through and getting there?

  • What was really happening, was light was coming up from

  • from the base of this overhead projector, bouncing off this lens,

  • back onto the top of the marble, and then back up through this lens, and onto the wall.

  • So finally I decided to use a laser

  • I resisted doing this earlier because in 1818 they didn't have lasers.

  • In fact, Poisson didn't do the experiment. He didn't think that you needed to.

  • The idea of a bright spot in the middle of a shadow was just so ridiculous.

  • And Fresnel didn't do the experiment either.

  • But one of the other judges by the name of Arago decided to actually do the experiment.

  • And when he did it, he saw something similar to what I saw.

  • So here I was using the laser through a diverging lens.

  • And then that beam was shone onto a marble resting on top of a loop of tape.

  • So you can see on the wall, basically exactly what you'd expect.

  • Just a shadow of the marble

  • But when you turn the lights off... there it is...

  • A bright spot right in the middle of that shadow.

  • So the brightest part of a shadow is, in the middle!

  • As long as it's the shadow of a circular or spherical object.

  • Now this spot is sometimes called Arago's spot because he did the experiment and found it.

  • Sometime's it's called Fresnel's birght spot because it was his theory.

  • But pretty frequently, it's referred to as Poisson's spot.

  • A harsh reminder that it's not only your great achievements, but also your greatest mistakes

  • that can be named after you.

  • We don't see Poisson's spot in our day-to-day lives for many reasons,

  • one of which is that most objects are not prefect circles.

  • Plus if they have any surface roughness, really any at all, that will completely wash out Poisson's spot.

  • And finally, most light sources are not coherent.

  • That is, the waves are not coming all in phase: peaks with peaks and troughs with troughs.

  • You might think you could never see Poisson's spot under ordinary conditions.

  • But you can...

  • What you need to do is look at a diffuse source of bright light

  • like a fluorescent tube or the blue sky.

  • You should see some small light specks drifting around your visual field.

  • Now those are caused by floaters. Little particles actually drifting around inside your eyeball.

  • And they can be all sorts of different shapes, but some of them are spheres.

  • And so they cast a shadow on the back of your retina.

  • And right in the middle of that shadow is Poisson's bright spot.

  • And that is what demonstrated that light really is a wave phenomenon.

  • And you don't even have to take my word for it.

  • You can see it with your very own eyes.

Where is the darkest part of a shadow?

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影の一番明るい部分は真ん中にある (The Brightest Part of a Shadow is in the Middle)

  • 76 1
    Ryoya に公開 2021 年 01 月 14 日
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