THE POLARIZATION SAGNAC INTERFEROMETER
FOR GRAVITATIONAL WAVE DETECTION
Peter T. Beyersdorf
Stanford University (2001)
Original
location : http://www.ligo.caltech.edu/docs/P/P010008-00/P010008-00-duplex.pdf
(last
access : January 4, 2004)
Abstract: Future advanced
interferometric gravitational wave detectors will be limited by thermal
distortions induced by high circulating power. An all-reflective configuration
based on the Sagnac interferometer, presented here, is well suited to operation
with high circulating power. A polarization scheme is presented that allows the
interferometer to be used in a reciprocal configuration, so that static
imperfections and thermally induced distortions of the beamsplitter and optics
have a minimal effect on the interference contrast. The necessary low-frequency
response of the interferometer requires delay-lines in the arms. To deal with
the noise introduced by scattered light in the delay lines, a laser frequency
sweep is presented that frequency shifts the scattered light so that it does
not produce noise in the measurement band. The control requirements and
alignment tolerances are calculated for the components of the detector and they
are compared with the levels necessary for an alternative interferometer
configuration, the Fabry-Perot Michelson, to highlight the advantages and
disadvantages of the polarization Sagnac interferometer.
The all-reflective delay-line
polarization Sagnac interferometer design is demonstrated on a 10 m prototype
interferometer with suspended optics that incorporates the laser frequency
sweep to provide a shot-noise-limited phase sensitivity of Dj = 10-9 radHz-1/2 at frequencies as low as 200 Hz.
Scaling this prototype to several kilometers with kilowatts of circulating
power requires several technical improvements in high-power solid-state lasers,
second harmonic generation, and the fabrication of large mirrors, which are
likely to be made in the next 10 years.