Figure 3. The quadrature fringe signals. In (a) we plot the
two signals vs. time. In (b) we plot
x and
y against
each which yields an ellipse. Increasing (decreasing) the path length
difference causes the
x-y ordered pair at any instant to
move clockwise (counterclockwise) around the ellipse. It is this
position on the ellipse that we want to record.
Fringe Resolver Specifications
Figure 4. Smoothed interferometer and electronic noise spectra
compared with the USGS Low Noise Model acceleration spectrum passed
through Equation (1) with T= 5.4 seconds and Q = 7.4, which corresponds
to the STS-1. Spikes in the spectra are believed to be an artifact
of the fringe-processing scheme.
Figure 5. There are two limits to the new design. First,
the mass stops limit mass motion to about ± 1 cm. Second, the
optical fringe resolver will lose track of the mass when the velocity
exceeds 7.5 cm/s. The red curve shows how these limits translate
to large accelerations (examples of which are shown with the green
curves) with our prototype suspension.
Pre-Prototype: A Modified STS-1
Figure 6. Photographs
of the experiment we carried out comparing a standard STS-1 to one
in which we replaced the electronics with optics. Both seismometers
were situated on the same pier. The first was operated normally. In
the second, the electronic position sensor was disconnected, and the
forcing coil was shorted internally to provide damping. No electrical
connections were made to the modified STS-1; laser light entered and
exited through a window in the seismometer's vacuum jar to provide
the position information.
Figure 7. Seismograms
recorded with both the modified Optical STS-1 and a standard STS-1
from a magnitude 6.7 event off South Georgia Island on 15 Nov. 2002
(about 115° away from San Diego). The signal at IGPP reached
an amplitude of ±2.5 ¥ 10­p;4 m of mass motion, very
close to the clip level of the STS-1 seismometer but well within the
dynamic range of the Optical Seismometer.
Figure 8. We have new
facilities to test the prototype seismometer. We have precision laboratory
shake tables in our lab, and we are constructing an underground seismic
test vault at Piñon Flat Observatory.
Prototype Vertical Component Optical Seismometer
Figure 9. Prototype Vertical
Optical Seismometer. This unit has a mass of 360 grams and a free
period of a few seconds. The spring is a single strip of "NiSpan-C",
a trade name for a particular alloy of iron-nickel with small amounts
of chromium and titanium.
Figure 10. (a) displays
the ring-down of the prototype vertical seismometer. The shape of
the curve is governed by the damping and the restoring force of the
spring. Numerically correlating the computed acceleration with position
yields the spring constant; correlating acceleration with velocity
yields the damping. (b) shows the restoring force (after correcting
for damping) as a function of mass position. The slope of this is
the spring constant
k over the mass
m;
period

(c) shows the non-linear portion that results from the geometry of
the leaf-spring suspension.