Exploring the Reflection of Light on a Piece of Paper

In summary, two LEDs can produce light that is reflected off of a surface and can be detected. The brightness of the reflected light depends on the output of the LED's, the optical noise coming from the surrounding environment, and how much the paper scatters the light.
  • #1
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imagine that i have a pair of LEDs throwing light on the same point on a piece of paper. This is possible if the LEDs are inclined equally at an angle to the normal coming out of paper, right?

now if i consider two rays hitting the paper at the same point, then where can i explain the presence of the reflected ray as, is it:

1) along the normal coming out of the paper
2) partly along this normal and partly through one of the paths of incidence(since angle of incidence = angle of reflection).
3) scattered everywhere.

or is it any other answer.
help is appreciated. :confused:
 
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  • #2
You can start off by dividing the problem into two sections - first you figure out the contribution of one LED to what you see, then you figure out the contribution of the other LED, then you add them together. This is possible because the two LED's won't produce any interference effects, they are not coherent.

Now, when light hits a paper, some of it will reflect like a mirror, where the angle of incidence is equal to the angle of reflection. This is called specular reflection.

Other light will scatter in all directions - this is called diffuse relflection.


You'll usually see a more mathematical treatment of these sorts of problems in "ray tracing" for generation of computer images.

With flat objects, specular reflection just means glare when the object is tilted correctly, with round or curved objects (like an apple), specular reflection will create "highlights"

I didn't find anything helpful for "typical" values for specular vs diffuse reflection coefficients for paper in a quick google.
 
  • #3
thanks a lot for your reply. it was heartening to note that there are no interference effects... though I am not entirely convinced about this. if the LEDs are of the same make, let out light in the same wavelength range, isn't the spectral equation governed by:

reflected ray property = integral ( spectral property of incident * spectral property of surface of incidence)

since both LEDs strike the same surface, the incidence surface property is also constant. so aren't they coherent??

could you enlighten me about the prominence of one particular kind of reflection over the other. If specular reflection were prominent enough, then could i successfully place a light detector between the LEDs, i.e along the normal?
thanks again.
 
  • #4
Coherence relates to the phase of the emitted light. Photons emitted by an LED are not in phase, thus any phase dependant effects (such as interference fringes) will be washed out. Laser Diodes by contrast emit photons that are in phase, and thus will exhibit interference effects.

Claude.
 
  • #5
thanks claude, i guess pervect was also trying to convey your idea.
my actual doubt still remains...
is it possible to place a detector between the two inclined LEDs (remember the LEDs direct light to a single point on paper) and detect the reflected light to a large extent?

good day.
 
  • #6
Yes, if you place a detector there you will certainly detect something, how much depends on the output of the LED's, the optical noise coming from the surrounding environment, and how much the paper scatters the light.

Claude.
 

1. How does light reflect off of a piece of paper?

When light hits a piece of paper, it is reflected in all directions. This is because the paper's surface is uneven, with tiny bumps and crevices that cause the light to scatter. This scattering is what we perceive as reflection.

2. Why does paper appear white when reflecting light?

White light is actually a combination of all the colors in the visible spectrum. When it hits the paper's surface, most of the light is scattered and reflected in all directions, making the paper appear white to our eyes.

3. What is the difference between specular and diffuse reflection?

Specular reflection occurs when light hits a smooth surface and bounces off at the same angle. This creates a mirror-like reflection. Diffuse reflection, on the other hand, occurs when light hits an uneven surface and scatters in all directions, creating a softer and more scattered reflection.

4. Can the color of the paper affect how light is reflected?

Yes, the color of the paper can affect how light is reflected. Different colors absorb and reflect different wavelengths of light. For example, a red piece of paper will absorb all colors except for red, which is reflected back to our eyes, making the paper appear red.

5. How does the angle of incidence affect the reflection of light on a piece of paper?

The angle of incidence, or the angle at which light hits the paper's surface, affects the direction of the reflected light. The angle of reflection will be equal to the angle of incidence, following the law of reflection. This means that if the angle of incidence is changed, the direction of the reflected light will also change.

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