July 17, 2018
Description of a Fourier Transform Spectrometer
A generic Fourier Transform spectrometer works by splitting a
collimated light beam in two using a beamsplitter cube. Each of the
two light beams travels to a retroreflector some distance away, then
both beams return and are recombined using another beamsplitter cube
(usually referred to as the beam combiner cube). By varying the
difference in the optical path length between both beams, an
interference pattern is created, consisting of intensity variations as
a function of delay. The Fourier Transform of this interference
pattern produces the spectrum of the light being observed.
Fourier Transform spectrometers are the most precise instruments
available for spectrographic studies. An FTS can obtain resolutions
many times greater than conventional spectrographs with better
sensitivity. On the other hand, a typical FTS has poor throughput,
making studies on faint objects such as stars impractical. There are
very few FTSs in use for astronomical studies. One example of a
successful astronomy FTS is the
McMath-Pierce FTS facility at Kitt Peak National Observatory. This FTS,
however, is used primarily for observing the sun and labratory sources.
We intend to improve the sensitivity of our FTS by making three critical
modifications to the classical design.
- A dispersive element, or a diffraction grating, is placed in the optical
train after beam recombination. This chops the spectra into several
narrow-band spectral channels without introducing noise.
When these spectral sections are
combined into the final spectrum, noise outside their spectral band are
omitted. This effectively raises our sensitivity by a factor of
the number of spectral channels, N.
- A laser metrology system with nanometer resolution overlaps the
starlight beam greatly reducing systematics caused by vibrations
and thermal fluctuations.
- Because of our dispersive element breaks the spectra into N
channels, the interferogram can be sampled N times fewer.
This allows us to integrate on the star at each delay position
N times longer than a conventional FTS, and greatly reduces
the errors caused by photon noise.
The principal advantage of using an FTS is that the wavelength scale
in the spectrum is known absolutely. For example, if one were to
shine white light through a prisim and image the resulting spectrum
using a CCD, it would not be possible to know the wavelengths of
spectral features, such as absorption lines, precisely. One technique
is to pass the beam through an absorption source with known wavelength
lines. Marcy and Butler, two of the leading extrasolar planet
finders, use an iodine absorption cell to calibrate their echelle
spectrometer. The disadvantage is that this technique has systematic
errors that prevent radial velocity precision beyond a few m/s. With
our FTS, we hope to achieve a precision better than 1 m/s.
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