FHiRE Optical Design

Optical Design of FHiRE
The optical design of FHiRE is a traditional
"white pupil echelle" (see Baranne 1972) similar to the ESO HARPS spectrograph.
The white pupil design reduces vignetting, and minimizes optical aberrations.
It also minimizes the camera aperture as well but with the cost of additional
optical reflections. The design of FHiRE originated from Sam Barden with
significant
further refinements by Charles Harmer (NOAO). Ming Liang (NOAO) redesigned
the FHiRE camera reducing the number of optical elements from 8 to 6. The
drawback is a significant change in focus with wavelength but this is almost
linear so that it is mitigated by tilting the detector focal plane. Liang's
design
included a glued triplet that was very sensitive to temperature change due to
the differing coefficients of thermal expansion for the triplet elements.
Pierce (UW) "broke" the FHiRE triplet by replacing the glue with an index
matching fluid, with a slight improvement to the design, but more importantly
removing the danger that the large seasonal temperature changes at WIRO could
put the camera at risk.
Light enters the instrument via a 50-micron, multi-mode optical fiber located
at the focus of the first of a pair of off-axis paraboloids that form a
collimated beam for the Iodine cell. The output f-number of the fiber will be
f/4. The second paraboloid then forms an intermediate focus as this beam is
directed toward one side of the collimator mirror. The collimator has a
focal length of 390mm and also shares this focus so that the light reflecting
from this mirror it is parallel, i.e., collimated, with a diameter of 98 mm
when it reaches the echelle grating. FHiRE uses an R4 echelle with
31.6 grooves/mm at a near Littrow condition so that the angle of incidence
is 76 degrees. The central blaze order is 113 corresponding to a wavelength of
538 nm. The grating is slightly tilted (5-deg.) so that the dispersed light
returns to the collimator at this same angle which forms a secondary focus
slightly displaced from the first one where a pupil mirror and slit are
located. The pupil mirror directs the light back to the collimator for the
third time after which it emerges as a set of collimated beams, one for each
spectral order. A mirror located near the Iodine cell folds the beam so that
it enters a volume phase holographic (VPH) grating oriented 90-deg to the
echelle in order to "cross disperse", or separate, the spectral orders. The
VPH grating is located immediately in front of the FHiRE camera. The camera
has a focal length of 257 mm and produces excellent images over a slightly
tilted focal plane. The spot sizes are 2.2 pixels over the full 2048 x 4096
CCD detector (12 micron pixels) with 69 orders resulting in a wavelength
coverage of 390 nm - 680 nm, orders 90 - 158, with a resolution of 60,000.