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Sagnac Interferometer / Fibre-Optic Gyroscope (FOG):
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Determining the Measured Speed of Light
in the Rotating Frame
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Sagnac loop Length L (m)
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wavelength of light
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Loop radius (m)
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light speed C (stationary frame):
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number of loops
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Rotational velocity v (m/s)
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area of loop (m2):
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..........Sagnac
Eq. 1 Rotation Values: ..............
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…......Sagnac
Eq. 2 Rotation Values:….....
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Using Eq. 1 Method:
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Using Eq. 1 Method:
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Using Eq. 2 Method:
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Using Eq. 2 Method:
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DFringe :
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Dt (s):
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DFringe :
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Dt (s):
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4WA/cl
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4WA/c2
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[L/(C-v)-L/(C+v)]*C/l
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L/(C-v)-L/(C+v)
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Time round trip CW:
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Time
round trip:
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L/(C-v)
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L/(C+v)
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CW :
C' = C-V , m/s
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CCW : C" = C+V , m/s
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light speed in rotating
frame:
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Note: For
example purposes the refractive index is set at 1.
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Boxes in
yellow contain adjustable values - to change a value, simply type it in the
box and then press update
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at the bottom
of the sheet.
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Conclusion:
The speed of light measured by the rotating observer is not C but rather C' or C".
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