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What is this?
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13 posts in this topic

On 9/17/2022 at 2:13 PM, John Rowley said:

Is this normal? It appears to be in the plastic. 

It's the reflection of light when two pieces of plastic touch.  Nothing wrong with the book.

But yes, at CGC it is very normal.

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Quantitative Relationships

220px-Newton_rings.jpg
 
Fig. 5: Newton's rings seen in two plano-convex lenses with their flat surfaces in contact. One surface is slightly convex, creating the rings. In white light, the rings are rainbow-colored, because the different wavelengths of each color interfere at different locations.
220px-AgfaDia.jpg
 
Rainbow-colored Newton's rings on an Agfacolor slide (slightly right of center on the houses and upper right on the mountains).

For illumination from above, with a dark center, the radius of the Nth bright ring is given by

rN=[λR(N−12)]1/2,{\displaystyle r_{N}=\left[\lambda R\left(N-{1 \over 2}\right)\right]^{1/2},}
{\displaystyle r_{N}=\left[\lambda R\left(N-{1 \over 2}\right)\right]^{1/2},}

where N is the bright-ring number, R is the radius of curvature of the glass lens the light is passing through, and λ is the wavelength of the light. The above formula is also applicable for dark rings for the ring pattern obtained by transmitted light.

 

Given the radial distance of a bright ring, r, and a radius of curvature of the lens, R, the air gap between the glass surfaces, t, is given to a good approximation by

 

t=r22R,{\displaystyle t={r^{2} \over 2R},}
{\displaystyle t={r^{2} \over 2R},}

 

where the effect of viewing the pattern at an angle oblique to the incident rays is ignored.

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On 9/19/2022 at 6:14 AM, ak47po said:

Quantitative Relationships

220px-Newton_rings.jpg
 
Fig. 5: Newton's rings seen in two plano-convex lenses with their flat surfaces in contact. One surface is slightly convex, creating the rings. In white light, the rings are rainbow-colored, because the different wavelengths of each color interfere at different locations.
220px-AgfaDia.jpg
 
Rainbow-colored Newton's rings on an Agfacolor slide (slightly right of center on the houses and upper right on the mountains).

For illumination from above, with a dark center, the radius of the Nth bright ring is given by

rN=[λR(N−12)]1/2,{\displaystyle r_{N}=\left[\lambda R\left(N-{1 \over 2}\right)\right]^{1/2},}
{\displaystyle r_{N}=\left[\lambda R\left(N-{1 \over 2}\right)\right]^{1/2},}

where N is the bright-ring number, R is the radius of curvature of the glass lens the light is passing through, and λ is the wavelength of the light. The above formula is also applicable for dark rings for the ring pattern obtained by transmitted light.

 

Given the radial distance of a bright ring, r, and a radius of curvature of the lens, R, the air gap between the glass surfaces, t, is given to a good approximation by

 

t=r22R,{\displaystyle t={r^{2} \over 2R},}
{\displaystyle t={r^{2} \over 2R},}

 

where the effect of viewing the pattern at an angle oblique to the incident rays is ignored.

In a simpler form you could think of it as ot unlike the reflections of an oil slick on water.  :fear:

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On 9/19/2022 at 9:14 AM, ak47po said:

Quantitative Relationships

220px-Newton_rings.jpg
 
Fig. 5: Newton's rings seen in two plano-convex lenses with their flat surfaces in contact. One surface is slightly convex, creating the rings. In white light, the rings are rainbow-colored, because the different wavelengths of each color interfere at different locations.
220px-AgfaDia.jpg
 
Rainbow-colored Newton's rings on an Agfacolor slide (slightly right of center on the houses and upper right on the mountains).

For illumination from above, with a dark center, the radius of the Nth bright ring is given by

rN=[λR(N−12)]1/2,{\displaystyle r_{N}=\left[\lambda R\left(N-{1 \over 2}\right)\right]^{1/2},}
{\displaystyle r_{N}=\left[\lambda R\left(N-{1 \over 2}\right)\right]^{1/2},}

where N is the bright-ring number, R is the radius of curvature of the glass lens the light is passing through, and λ is the wavelength of the light. The above formula is also applicable for dark rings for the ring pattern obtained by transmitted light.

 

Given the radial distance of a bright ring, r, and a radius of curvature of the lens, R, the air gap between the glass surfaces, t, is given to a good approximation by

 

t=r22R,{\displaystyle t={r^{2} \over 2R},}
{\displaystyle t={r^{2} \over 2R},}

 

where the effect of viewing the pattern at an angle oblique to the incident rays is ignored.

:gossip:   nerd

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