Newton rings radius calculator

Calculate ring radius with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use ring radius to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Wavelength (nm)
550
Lens radius of curvature (m)
1
Ring order
3
Ring type (0=dark,1=bright reflected light)
0
Ring radius (mm)
1.284523

Try another scenario

Wavelength (nm)
605
Lens radius of curvature (m)
1
Ring order
3
Ring type (0=dark,1=bright reflected light)
0
Ring radius (mm)
1.347219
Calculation method

Calculation method

Ring radius (mm)

Reflected air-film dark r²=mλR; bright r²=(m+.5)λR.

Symbols and units
a
Wavelength (nm)
b
Lens radius of curvature (m)
c
Ring order
d
Ring type (0=dark,1=bright reflected light)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Ideal contact, air film, one phase reversal; ring order starts zero. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Ideal contact, air film, one phase reversal; ring order starts zero.
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