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The
frequency range over which noise or interference can affect the AFM
image extends from about 500 times the horizontal scan rate to about
500 times below it. The performance of electronic circuitry in this
range is extremely good, and most of the sources of noise are
external. If we assume the instrument has no vibration isolation or
acoustic shielding, good results will be obtained with samples that
have features at the micron level. Below this, seismic vibrations
produced by foot traffic in the building, elevators, doors being
closed, or street traffic outside are noticeable. This will depend
largely on the actual site, with an isolated site on the ground
floor being quite good compared to a large laboratory in an urban
location. This type of interference is impulsive in nature, and
shows up as horizontal streaks in the image.
At
a still lower frequency, dark bands in the image can be caused by
random thermal expansions of the PZT and metal components of the
head. This is more noticeable at lowest scan speeds, since there is
more time for temperature changes to occur. This is usually caused
by air currents.
In
the range above the scan rate, mechanical and acoustic noise can be
caused by the fan in the EIU and the computer. These units should be
placed on the floor, and as far from the stage as possible. The
Fourier transform is useful in identifying the source of this noise.
The rotation speed of the fans is in the range of 30 to 60 Hz, and
the noise from the fan blades is 6 times higher. Higher harmonics
can also be observed. Residual power supply ripple can also be
observed at 60 Hz and higher harmonics, and may be indistinguishable
from acoustic noise generated by line operated electrical equipment
such as transformers or fluorescent light blasts. The cantilever
responds as a microphone to conversations, or a ringing telephone.
A
potential source of interference is the light emitted by fluorescent
lights. It will have a strong modulation at 120 Hz, and could be
picked up by the laser beam detector. We have never identified this
as a problem.
Almost
all of these noise sources are effectively eliminated by the
acoustic cover/vibration isolator or AVIC. The 1 Hz cut-off
frequency is below that obtained by most air tables, and by being
designed specifically for the Quesant instrument, the cover is
compact, adjustment free, and light weight. With the stepper
ministage and video camera, the sample can be examined in a dust
free environment without opening the cover.
The
signal from the laser detector in the head is extremely sensitive,
and as noise sources are removed, the system amplifies this signal
as much as necessary to provide an image with full scale deflection
in Z. To obtain the least possible noise, it will be best to scan
quite slowly. This allows the DSP to average more readings per
pixel. In the configuration screen there is a number shown as
samples/DP. This is the number of A to D conversions added together
to give one pixel of data. In the broadband modes, the error signal
has a bandwidth of 24KHz, and lower noise will be obtained using the
standard modes.
Noise
acts as a dithering signal and removes any quantizing errors due to
the 16 bit resolution of the A to D converters, and the noise is in
turn removed by averaging many conversions. In any electronic
system, the amount of noise in the signal will be dependent on the
bandwidth transmitted through the system. The narrower the bandwidth
can be made, the quieter the signal will be. In many systems, the
frequency of the signal cannot be changed, but in the AFM, the
signal can be lowered in frequency just by scanning at a slower
rate.
Before
the conversion to digital, the signal passes through the PID loop,
which is the principal means of limiting the bandwidth in the Z
channel. By reducing the gains, the bandwidth is reduced. Of course,
this slows the response of the system, necessitating slow scanning
for good image resolution.
There
is some residual ringing of the scan tube at a frequency of about
660 Hz in spite of the efforts to suppress it using the two step
reversal and the eight pole Bessel filter. Due to friction on the
surface, there may be a slight twisting of the probe in contact
mode, and this causes the very slight ringing to produce a slight
modulation in Z. This can sometimes be seen in the Fourier transform
as two diffuse vertical bars at 660 Hz. The amplitude of this
ringing goes to zero as the scan speed is reduced. It is generally
not seen in WaveMode due to the much greater cantilever stiffness
and the reduction in surface friction.
The bandwidth can be reduced from below the scan frequency by
operating in the error only mode. The PID gain settings now
determine the low frequency cutoff, and spatial filtering can be
used to limit the upper frequency cutoff. Images of mica atoms have
been obtained using the error only mode at a scan frequency of 15Hz.
The low frequencies are also eliminated by using tilt removal such
as Line by Line H or Histogram/H.
In
conclusion, the quietest images will be obtained in the AVIC using a
slow scan speed such as 1 Hz. The lowest gain settings should be
used that provide adequate detail in the image. Periodic artifacts
can be removed by the Fourier transform, and spatial filtering of
the image can be performed. There are numerous modes of rendering
the image, and careful adjustment of these can enhance the detail in
the image.
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