Newton's ring
It's Java


What happened?
When we put a lens on the glass plate and flash a monochromatic light, pattern with a concentric circle shape appears.
At this time, we can observe the pattern without curvature.

This phenomenon is caused by the air layer between the a curved surface of lens and a plain surface of glass. If we flash a monochromatic light vertically on this lens on the glass, reflected light on the surface of lens and reflected light on the surface of glass make an interference and circular pattern.

Destructive interference

Because the phases of reflected light on the surface of lens and reflected light on the surface of glass are destroyed, the pattern of it become dark.

Reinforced interference

Because the phases of reflected light on the surface of lens and reflected light on the surface of glass are reinforced, the pattern of it become light.

 

Using the wavelength of light \lambda, curvature radius of lens R, and distance from the center of lens r, we can calculate the intensity of light I as follows;

 
  I0: intensity of incident light
\lambda: wavelength of incident light (m)
R: curvature radius of lens (m)
r: distance from the center of lens (m)

where I0 is intensity of incident light.


Application of the effect of Newton's Ring
This effect is applied to examine the uniformity of curvature of lens.
Newton ring phenomenon may appear when we scan the film image with a scanner.
This is caused by the blank space between the film and the scanner.
We can prevent this effect putting the film on the scanner without a blank space.
(quotation from Epson Color Guide)