Why is the center point black in Newton's Rings?

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In summary: The circles are still formed by the interference of light waves, but the intensity of the circles may vary depending on the angle at which they are viewed. In summary, Newton's rings and interference patterns formed by thin films are dependent on the angle at which they are viewed, and the center point is black due to the cancellation of two beams with opposite phase shifts. The top surface does reflect light, but the reflection is weaker due to the angle of incidence.
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nonequilibrium
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FG10_P11_NewtonsRings1.jpg


So we know Newton's rings. I have two concrete questions:

1) Why is the center point black? I quote from my book: "Because there is no path difference and the total phase change is due only to the 180° phase change upon reflection, the contact point is dark." I'm not quite sure what they mean, they either suggest:
a) at the contact point there is one beam reflecting without a phase shift and one beam going out of the curved glas but immediately bouncing back WITH a phase shift and they cancel each other;
b) nothing happens at the contact point, there is just a 180° phase shift at the VERY top;
Both explanations seem wrong... a: then if you take two flat sheets of glas and stick them onto each other, you should get destructive interference everywhere; b: just take a sheet of glas and you see nothing because all the incident light receives a 180° phase shift (in this one there isn't even anything to cancel with, so it makes the least sense of all...)

2) How come, in analyzing the circles, we can ignore the reflection on the very top layer? In some pictures some circles are very dark, so is there really no reflection on the top surface? Did they make the top surface non-reflecting or something?

Thanks very much,
mr. vodka

EDIT: Am I right in presuming that --opposite to experiments like that of Young-- interference patterns like Newton's Rings or those formed by thin films are dependent on the angle at which you look at them?
 
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Answer:1) The explanation in your book is correct. At the contact point, there is one beam reflecting without a phase shift and one beam going out of the curved glass but immediately bouncing back with a phase shift. These two beams cancel each other out, resulting in a dark region at the center point. 2) The top surface does reflect light, but the reflection is weaker than that of the other surfaces. This is due to the fact that the angle of incidence of the light on the top surface is much greater than the angles of incidence of the light on the other surfaces. The light is partially reflected and partially transmitted through the top surface, resulting in a weaker interference pattern compared to the other surfaces.
 

1. What are Newton's Rings?

Newton's Rings are a phenomenon of light interference that occurs when a convex lens is placed on top of a flat glass surface. When viewed from above, a series of concentric rings of light and dark patterns can be seen.

2. Who discovered Newton's Rings?

The phenomenon of Newton's Rings was first observed and described by Sir Isaac Newton in 1717.

3. What causes Newton's Rings?

Newton's Rings are caused by the interference of light waves reflected from the top and bottom surfaces of the thin air film between the convex lens and the flat glass surface. This results in constructive and destructive interference, creating the visible pattern.

4. What practical applications does Newton's Rings have?

Newton's Rings are used in various optical instruments, such as microscopes and telescopes, for testing the surface flatness of lenses and other optical components. They are also used in the manufacturing of precision lenses.

5. Can Newton's Rings be seen with the naked eye?

Yes, Newton's Rings can be seen with the naked eye, but the rings are more distinct and visible with the use of a magnifying glass or microscope.

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