Infrared Absorption Spectroscopy 105
In all three designs, the optical beam is re-imaged using curved mirrors. The White
optical design consists of three spherical mirrors of identical radii of curvature, and
the front mirror is placed at its confocal distance from the two identical D-shaped rear
mirrors (i.e. spaced at their common radii of curvature). One focuses the input beam at
the position of the front mirror and this re-images the beam back on the front mirror.
As shown, the re-imaged beam forms a line of spots in two rows on the front mirror. In
a modified design published by Horn and Pimentel (1971) and deployed on an aircraft
platform by Schiff et al. (1990), the exit spot in the traditional White cell hits a corner
reflector (two flat mirrors), which translates the beam vertically forming an additional two
rows of spots. This arrangement reduces the output beam astigmatism; more effectively
utilizes the front mirror space; and reduces the sensitivity to misalignment of the input
beam (Schiff et al., 1990). The sample volume of this cell is 28 liters, and pathlengths up
to 213 m have been achieved by adjusting the angle for one of the back D-mirrors. Both
ground-based (Mackay et al., 1996) and airborne measurements (Schiff et al., 1990) have
successfully been acquired using this 5-mirror optical design.
Since these early implementations, newer White cells have achieved moderate
pathlengths l in smaller sampling volumes, and these include studies by: Werle and
Slemr (1991) (l = 100–200 m, 6 liter volume); Roths et al. (1996) (l = 126 m, 6.4 liter
volume); and Wienhold et al. (1998) (l =64 m, 2.7 liter volume). Small sampling volumes
are critical not only for reducing instrument response times but also in maximizing
measurement duty cycle within the instrument stability period. This will be presented
when we discuss the concept of Allan Variance.
In off-axis resonator cells based upon the simple and astigmatic Herriott designs (1964,
1965), there are only two mirrors, which are spaced at nearly their common radii of
curvature. In the simple Herriott cell, both mirrors are spherical, and the input beam is
injected through a hole in one mirror slightly off axis. The beam recirculates around the
mirrors in an elliptical pattern before exiting the cell through the same coupling hole.
The number of passes is adjustable by changing mirror separation, and the condition
where the beam closes on itself at the coupling hole is known as the re-entrant condition.
In the astigmatic Herriott cell (Herriott and Schulte, 1965) the mirrors are cylindrically
deformed such that the radii of curvature of both mirrors are different in the horizontal
and vertical planes. The beam spots trace out sinusoidal patterns on both mirrors with
different frequencies in the horizontal and vertical planes. The resulting Lissajous pattern,
which is shown in the top panel of Figure 2.13, utilizes nearly the entire surface of both
mirrors. As a result, the optical path optimally fills the cell absorption volume, which
in turn allows for small cell volumes for a given absorption pathlength. The original
design of Herriott and Schulte (1965) accomplished this by distorting the mirrors in their
mounts. McManus et al. (1995) and Zahniser et al. (1995) developed and commercialized
a much more rugged design (Aerodyne Research Incorporated) for field use where the
astigmatic curvature is built permanently into both mirrors. In their design, McManus
et al. (1995) implemented a novel approach in which one mirror is rotated about its
optic axis during alignment to compensate for manufacturing errors in mirror radii. This
reduces mirror tolerances and fabrication costs.
All three multipass cell designs have found widespread usage in atmospheric studies.
However, many studies, at the time of writing, employing solid-state laser sources have
taken advantage of the simpler two-mirror design of the astigmatic Herriott cell, coupled