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Specular and diffuse reflection

Specular reflection, which occurs with smooth surfaces like mirrors, causes light rays to reflect at the same angle as they hit the surface. Diffuse reflection, which occurs with rougher surfaces, scatters light rays in different directions. The video also introduces double reflection, which occurs when light reflects off of one surface and then reflects off of another surface before reaching your eye. Created by Sal Khan.

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  • spunky sam blue style avatar for user Bigrat
    If build a box with mirrors, all on the inside, so the entire inside of the box is all mirrors, and will all give off specular reflections, and then cut a circular hole in the top and insert an ON light bulb,
    will the light level keep on building up? Or are the photons adsorbed or "die" somehow?

    I understand that the actual light bulb may absorb some of the light, with a diffuse reflection.

    But hypothetically, if the entire light bulb had a specular reflection and it was completely sealed, would the light keep bouncing around the box, even after the light is turned off?
    (103 votes)
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  • blobby green style avatar for user lipglossdiaries
    Just to clarify, in a diffused reflection, the angle of incidence and angle of reflection are not always equal? Since the reflections are going in all sorts of crazy directions.
    But in a specular reflection, the angle of incidence and angle of reflection are always equal.
    (37 votes)
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    • leaf green style avatar for user Narendran Muraleedharan
      Technically, you're wrong. The angle of incidence is technically the angle between the incident ray and the NORMAL and the angle of reflection is between the reflected ray and the NORMAL (again). Diffused reflection is observed when the surface isn't smooth. This means that at different points on the surface, the normal is different. The angle of reflection is STILL equal to the angle of incidence at THAT POINT and the NORMAL is unique at THAT point in the surface. Hope I'm not too confusing.

      EDIT - This is almost a broad explanation of what Colin said :P
      (150 votes)
  • piceratops ultimate style avatar for user Mr. Potter
    When i look at a light source and close my eyes immediately, why does it appear green?
    (30 votes)
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    • old spice man green style avatar for user Kumar Adityadev
      In our eyes there are microscopic tiny sensors which are sensitive to light.They have 3 colors red,blue and green.If you look at a very bright thing such as the sun and close your eyes immediately you will see red.This means that red is the most sensitive to light.When you see any light source glowing brightly and when you see it and close your eyes immediately you will see green.In your case you might have seen a brightly glowing bulb.So green is less sensitive to light than red.Finally if you see a light source glowing dimly you will see blue color.So blue is least sensitive to light.One interesting fact for you that when you look at the sun immediately and close your eyes firstly you will see red color.But as the light intensity seen by our eyes decreases you will see green color then and finally you will see blue color and then you will see only black.The order of sensitivity of the receptors are:
      Red > Green > Blue
      Red -----------> Most Sensitive
      Green------------> Less Sensitive
      Blue------------> Least Sensitive
      Hope you like it
      (90 votes)
  • duskpin ultimate style avatar for user JacobTX
    Why do we see images of us in glass at times ?
    (10 votes)
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  • piceratops ultimate style avatar for user Hemanth
    Is there any proof for why angle of incidence is equal to the angle of reflection as far as specular reflection is concerned?
    (10 votes)
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    • male robot hal style avatar for user Reinhard Grünwald
      An intuitive proof is very easy if you assume that all the basic laws of physics stay the same if you switch the direction of time (at least of classical physics, and let's disregard thermodynamics for a second).
      Take a film of two billard balls colliding. Now play it backwards. There is no way to tell, which direction actually happened.
      Therefore the incoming and the outcoming angle of a beam of light have to be the same.
      (19 votes)
  • male robot donald style avatar for user harish
    if in diffused reflection light scatters away then we must not be able to see it . then how on the world are we seeing all this objects ?
    (5 votes)
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    • piceratops ultimate style avatar for user Steven Grigsby
      Keep in mind that the diagram he made is a microscopic view of an object on the atomic level. There are billions of light rays and billions of surfaces. So while you see things, a lot of the light is diffused. That's why when you look at something, it isn't like looking into the sun, but you still get enough light to see it.
      (14 votes)
  • leaf green style avatar for user Lurtle
    I am confused on the difference between diffused and specular, if you consider...

    consider a round / unsmooth object. If you zoom in really far -further and further, eventually you will find a point where it looks like a geometric shape with multiple sides (think of a circle on the computer -if you look hard enough the pixels are still square at the edge), right? So wouldn't diffused reflection just be specular but bouncing on many surfaces?
    See the image I made below because just words is too confusing:
    http://imgur.com/je1xdIQ
    (5 votes)
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  • spunky sam green style avatar for user David Abramovitch
    On a micro level, is all reflection specular, with the angles the same as they reflect off the various surfaces, and the diffuse reflection is caused by inconsistent surfaces, or does some light not reflect at an angle equal to the angle it hit the surface at?
    (9 votes)
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    • marcimus pink style avatar for user Alex MacD
      YES! All light reflects at equal angles of incidence and reflection. It is the changing orientation of the normal on certain surfaces that are not smooth (like the paint on your wall) that causes this shift, and diffuse reflection occurs. Diffuse reflection refers more to the collection of the reflected rays. If the incident rays are parallel, but the reflected rays are not, diffuse reflection occurred.
      (2 votes)
  • piceratops ultimate style avatar for user TheOddsocker
    Am I right in saying that the light would be continuously reflected forever? Would it ever stop reflecting or would it just carry on for ever?
    (3 votes)
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  • leaf orange style avatar for user UserKA
    Why is the angle of incidence the same as the angle of reflection?
    I don't understand why the two angles are the exactly the same. My teacher told us that it's like a game of pool.
    (3 votes)
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    • male robot hal style avatar for user Andrew M
      Because of conservation of momentum.
      Think about this: if the angle of reflection were going to be different from the angle of incidence, what would determine what the angle of reflection would be? Would it be bigger than angle of incidence? Smaller? Why?
      (2 votes)

Video transcript

In this video we're going to try to learn a little bit about reflection. Or I guess you could say we are going to reflect on reflection. I think most of us have a sense of what this is, but we'll try to get a little bit more exact about it. So there are actually two types of reflection, and everything that reflects is doing one or the other, or something in between. So we have two types. Let me draw them. So the first type, and this is kind of what we normally associate with reflection is specular reflection. And in specular reflection, let's say that this is the top of a mirror. This is the surface of a mirror. If I have a light ray coming in-- So let me draw a light ray coming in. And just to get the terminology right, this light ray coming in, this ray, is the incident ray. And it's the incident ray because it's the ray as it approaches the reflective surface. Let me write that down. That right there is the incident ray. It'll approach the surface. And you can almost imagine that it bounces off at essentially the same angle, but in the other direction. So then it'll hit the surface, and then it'll bounce off, and it'll go just like that. And then we would call this the reflected ray, after it is kind of bounced off of the surface. Reflected ray. And you may have already noticed this if you've played around a lot with mirrors you would see-- and we're going to look at some images. So you can think about it a little better. Next time you're in front of the bathroom mirror you can think about this, and think about the angle of incidence and the angle of reflection. But they're actually equal. So let me define them right here. So if I were to just drop a straight line that is at a 90 degree, or that is perpendicular to the surface of the actual mirror right over here, we would define this, right here, as the angle of incidence. I'll just use theta. That's just a fancy letter to show that the angle at which we're coming in, the angle between this ray and the vertical right there, that's the angle of incidence. And then the angle between that vertical and the blue ray right there, we call that the angle of reflection. And it's just a property of especially mirrors when you're having specular reflection. And you can see this for yourself at all the regular mirrors that you might experience is that the angle of incidence is equal to the angle of reflection. And actually we could see that in a couple of images over here. So let me show you some images of specular reflection, just to make it clear here. So you have some light from the sun hitting this mountain. And we're going to talk about diffuse reflection in a little bit, and that's what's happening. It's being reflected diffusely. That's why we don't see the actual image of the sun here. We just see the white. But then those white light rays, and they're actually being scattered in every direction, some of them are hitting the water. I'm going to try to match up parts of the mountain. So you have this part of the mountain. Let me do this in a better color. You have this part of the mountain up here, and the part of the reflection right over there. So what's happening right here is light is coming from that part of the mountain, hitting this part of the surface of the water. Let me see if I can draw this better. It's hitting this part of the surface of the water, and then it's getting reflected, specular reflection, to our eyes. And it's actually coming straight at us, but I'll draw it at a slight angle. And then it's just coming straight to our eyes like this. If our eye was-- Let's say our eye was here. It's actually coming straight out at us so I actually should just draw a vertical line, but hopefully this makes it clear. And what we just said, the angle of incidence is equal to the angle of reflection, so if you were to draw a vertical, and it might not be that obvious here, but this angle right over here-- Let me draw this a little darker color. This angle right over here, that's the angle-- Let me do that in a light color. This right here is the incident angle. We drew a vertical. And the angle at which the light ray is approaching the surface of the water, right before it bounces, that's the incident angle relative to vertical. And then this angle right here-- and I know it's hard-- it doesn't look like they're the same but that's just because of the perspective that we're dealing with. This is the angle of reflection. And they're actually going to be equal. And you could also make a similar case. And sometimes my brain has easier thinking about this. If this angle is equal to that angle-- and this is what's defined to be the angle of incidence and the angle of reflection-- we also know that this angle, right here, is going to be equal to that angle right there. And my brain sometimes thinks that because that's kind of the angle between the ray and the actual surface, but they're really the same notions. And obviously it's a different angle, but if this is equal to that then this is equal to that because these two are going to add to 90, these two are going to add to 90. So another way you could view it is-- So if we look at the surface of the water. Let me draw a line along the surface of the water. Another way to think about it is that this angle, this angle right over here, is going to be the same as this angle right over there. And you can also see it in this reflection right over here. So the light from the sun is going directly to the water here, and then getting reflected at that point on the surface of the water, and then coming over to our eyes. And so we could either say that this angle is equal to this angle, so the angle between the incident ray and the surface of the water is equal to the angle of the reflected ray and the surface of the water, or we could draw a perpendicular right over here-- I'm not doing that too well-- we can draw a perpendicular right over here to the surface of the water, and say that the incident angle, the angle of incidence right there between the ray and that perpendicular, is going to be the same as the reflected angle. And it's hard to see there, once again, because of the perspective, but hopefully that starts to make sense. And I encourage you, go to your bathroom and look in the mirror, and look at objects in the mirror, and think about the angle that the light from the object must be hitting the mirror for it to get to your eye, and where it's actually hitting the mirror. It's actually a pretty interesting thing to do if you're looking for things to do in the bathroom. Now all we've talked about is specular reflection, but the other type of reflection is diffuse reflection. And this is the type of reflection that it may not be as obvious to you that it's occurring everywhere you look. Diffuse reflection. And in diffuse reflection, because the surface isn't smooth, it's not what we kind of associate as a mirrored surface. So I'll draw it, I'll zoom in a bunch. So in diffuse reflection, maybe the surface looks like that, what happens is-- and let me be clear. In specular reflection any light ray that comes in like that, the reflection will come off at the same-- the angle of incidence will always be equal to the angle of reflection. This is for the situation of, say, a mirror. It'll always be the same. If I come in at a steeper angle, then I'll go out in a steeper angle, just like that. That's for specular reflection. For diffuse reflection all sorts of crazy things happen. And that's because we don't have this really smooth surface, or the molecules that make up the surface do crazy things to light. So if I come in in one direction, right over here, over at that point the light might reflect in that direction. Although if I come in at the same angle over here, now all of a sudden the light might go in that direction. And then if I come in at the same angle over here, now all of a sudden the light might go in that direction. And if I come in-- and I think you get the general idea here-- if I come in over here, now the light might scatter in that direction. If I come in over here at the same angle, now the light might scatter in that direction. So the general idea is, with diffuse reaction, the reflected rays are going in all sorts of crazy directions, and they're getting all mixed up. So think about here, if you had an image here of the sun, and I'm not drawing it in particular, but let's say that these rays right here are coming directly from the sun, then when they reflect it'll kind of preserve the image. You'll have the reflected image of the sun. But over here, if all of these light rays are coming from the sun, they're not all going off in the same direction. This will be a part of the sun, part of the sun. And it's happening at a really, really small level. So you're really just capturing the light, but you're losing all of the information from the actual image. And if you're wondering where diffuse reflection occurs just look around your room. Anything that's not a mirror is reflecting diffusely. It's diffusing the light. Do you see that here? The mountain right here is diffuse reflection. You have light coming from the sun, but that's being reflected in all sorts of crazy directions. So you don't see a reflection of the sky over here. The water here, that's specular reflection because it's so super smooth that it preserves-- The angle of incidence is going to be the angle of reflection. It's always going to be the same angle because it's a kind of almost perfectly smooth surface. The trees, that's diffuse reflection. And I also want to be clear on something like the trees. So on something that's white, and white is the entire spectrum of light-- and we'll do more videos on that in the future-- it's reflecting the entire spectrum. It's just mixing it all up so you don't see an actual reflection. But if you look at the trees, you have the entire spectrum from the sun coming down on the trees, but the trees themselves-- and you should watch the videos on photosynthesis-- they're absorbing every other frequency of light except for the greens you see. So they are just reflecting the green back to us. And they're doing it in a way they're diffusely reflecting it. So we actually don't see an actual reflection in those trees. And I'll just finish up with one kind of neat thing because it's kind of like playing billiards here, because you can actually have a double reflection. That's why I even had this image over here. The sun is being reflected on the water here, and then you have a reflection. This is a direct reflection of the sun, but this is a reflection of the sun reflected on the water right over here. So what you have over here is the light from the sun coming to this reflection, reflecting at that point on the water, then going to this point on the paddle, and then coming to our eye. But once again the angle of incidence in every situation here is going to be equal to the angle of reflection. Although the paddle looks like it's a little bit distorted here, so it's not a completely smooth surface, so it makes the math a little harder. But when you start thinking about this it becomes pretty interesting just to look at almost any reflective surfaces and to think about the actual angles.