In this paper we will discuss the current status of coherent integration with the Navy Prototype Optical Interferometer
(NPOI).1 Coherent integration relies on being able to phase reference interferometric measurements,
which in turn relies on making measurements at multiple wavelengths.We first discuss the generalized group-delay
approach, then the meaning of the resulting complex visibilities and then demonstrate how coherent integration
can be used to perform very precision measurement of stellar properties. For example, we demonstrate how we
can measure the diameter of a star to a precision of one part in 350, and measure properties of binary stars. The
complex phase is particularly attractive as a data product because it is not biased in the same way as visibility
amplitudes.
We present the results of the third Optical/IR Interferometry Imaging Beauty Contest. A formal comparison is
presented of the performance of algorithms used for imaging data from optical/infrared long-baseline interferometers.
The contest consists of blind imaging of test data sets derived from model sources and distributed in the
OI-FITS format. The test data consisted of datasets on two objects each "observed" in J, H, and K bands. The
majority of the entries produced accurate reconstructions of the initial models. Each of the methods presented
is discussed.
Recovering images from optical interferometric observations is one of the major challenges in the field. Unlike
the case of observations at radio wavelengths, in the optical the atmospheric turbulence changes the phases on
a very short time scale, which results in corrupted phase measurements. In order to overcome these limitations,
several groups developed image reconstruction techniques based only on squared visibility and closure phase
information, which are unaffected by atmospheric turbulence. We present the results of two techniques used by
our group, which employed coherently integrated data from the Navy Prototype Optical Interferometer. Based
on these techniques we were able to recover complex visibilities for several sources and image them using standard
radio imaging software. We describe these techniques, the corrections applied to the data, present the images of
a few sources, and discuss the implications of these results.
In this paper we use coherently integrated visibilities (see separate paper in these proceedings1) to measure the
properties of binary stars. We use only the phase of the complex visibility and not the amplitude. The reason
for this is that amplitudes suffer from the calibration effect (the same for coherent and incoherent averages) and
thus effectively provide lower accuracy measurements. We demonstrate that the baseline phase alone can be used
to measure the separation, orientation and brightness ratio of a binary star, as a function of wavelength.
A working group on interferometry data standards has been established within IAU Commission 54 (Optical/
Infrared Interferometry). The working group includes members representing the major optical interferometry
projects worldwide, and aims to enhance existing standards and develop new ones to satisfy the broad interests
of the optical interferometry community. We present the initial work of the group to enhance the OIFITS data
exchange standard, and outline the software packages and libraries now available which implement the standard.
The Wide-Field Imaging Interferometry Testbed (WIIT) was designed to develop techniques for wide-field of view imaging
interferometry, using "double-Fourier" methods. These techniques will be important for a wide range of future space-based
interferometry missions. We have provided simple demonstrations of the methodology already, and continuing
development of the testbed will lead to higher data rates, improved data quality, and refined algorithms for image reconstruction.
At present, the testbed effort includes five lines of development; automation of the testbed, operation in an
improved environment, acquisition of large high-quality datasets, development of image reconstruction algorithms, and
analytical modeling of the testbed. We discuss the progress made towards the first four of these goals; the analytical
modeling is discussed in a separate paper within this conference.
Visibility measurements with Michelson interferometers, particularly the measurement of fringe contrast, are
affected by various atmospheric and instrumental effects, all of which reduce the measured contrast. To compensate
for this, stars with known or predictable diameters (calibrators) are observed so that the overall reduction
in the visibility can be measured. Objects with the smallest possible diameters are preferred as calibrators, since
the predicted visibilities become less sensitive to any uncertainties. Therefore, unreddened, early type stars are
usually chosen if they are available because they are relatively bright for a given angular diameter. However,
early type stars bring additional complications. Rapid rotation, common with these stars can cause variations
in the visibility amplitudes due to oblateness and surface brightness asymmetries that are larger than implied by
the usual error estimates. In addition, rotation can introduce significant phase offsets. Using Roche models, von
Zeipel theory, and the observed constraints of V, B-V, and v sin i, it is possible to put limits on the size of these
effects and even estimate the distribution of possible visibilities. To make this easily available to the community,
we are in the process of creating a catalog of possible calibrators, including histograms of the visibilities, calculated
for configurations used at a number of observatories. We show the examples of several early type stars
which are potential calibrators using parameters appropriate for the Navy Prototype Optical Interferometer.
We report on the results of an experiment to characterize the fringe scanning stroke on the Navy Prototype
Optical Interferometer (NPOI) Fast Delay Line (FDL) strokes. The measurements were carried out during three
days April 11-13, 2005 at the NPOI site near Flagstaff, AZ. The NPOI uses a heterodyne metrology laser system
in its operations. It consists of a HeNe laser with a 2 MHz heterodyne component generated by an Acousto-Optic
Modulator (AOM). One polarization is used as the 2 MHz clock, and the other is sent through the feed system
twice and bounces off the piezo stroke modulators. We sampled both signals at 50 MHz, and obtained stroke
and cart combined motion at the frequency of the stroke modulated 2 MHz heterodyne signal. By counting
zero-crossings in the reference and feed system signals, a rough position (to a wavelength) can be obtained. This
can be further refined to the few-nanometer level by measuring the relative phases of the reference and feed
system signals. This results in approximately 4000 positions measurements per 2 ms stroke with a precision of
approximately 1 nm. We recorded stroke positions for approximately 500 strokes (1 s), for all but one of the six
FDLs, under a variety of conditions: different stroke amplitudes, different cart speeds, and different cart positions
in the FDLs. We then analyzed these data from a total of 100 tests to understand the deviation of the actual
stroke from the ideal stroke. We found that the mean stroke differs from the ideal stroke, and that consecutive
strokes differ from each other. We computed the effect of the non-ideal stroke on the science data. A non-ideal
stroke results in leakage of fringe power between fringe frequencies. This leakage is not significant during most
normal operations of the NPOI. However, when the squared visibilities of baselines on the same spectrograph
differ by large amounts (a factor of 10), care should be taken. Ideally, High- and low-visibility baselines should
be placed on different spectrographs.
We present recent results from the Wide-Field Imaging Interferometry Testbed (WIIT). The data acquired with the WIIT is "double Fourier" data, including both spatial and spectral information within each data cube. We have been working with this data, and starting to develop algorithms, implementations, and techniques for reducing this data. Such algorithms and tools are of great import for a number of future missions, including the Space Infrared Interferometric Telescope (SPIRIT), the Submillimeter Probe of the Evolution of Cosmic Structure (SPECS), and the Terrestrial Planet Finder Interferometer (TPF-I)/Darwin. Recent results are discussed and future study directions are described.
We present the results of differential phase experiments done with data from the Navy Prototype Optical Interferometer (NPOI). We take advantage of the fact that this instrument simultaneously records 16 spectral channels in the wavelength range 550-850nm, for multiple baselines. We discuss the corrections applied to the data, and show the results obtained for Vega and the Be star β Lyrae.
We report on experiments in multi-wavelength phase referencing using the Navy Prototype Optical Interferometer (NPOI). In these experiments we use the unique capability of the NPOI to simultaneously observe 16 spectral channels covering 512-850 nm on multiple baselines simultaneously. We present observations of the well-known Be star ζ Tauri using custom filters which allow us to isolate the Hα line in a single spectral channel while the other channels observe the stellar continuum. Since the central star is unresolved, we can use the data in the continuum channels to calibrate the spectral line data. Using the phase information recovered in this way, it is possible for the first time to use standard techniques to construct simple images of the line-emitting region around the star.
Atmospheric turbulence is a major impediment to ground-based optical interferometry. It causes fringes to move
on ms time-scales, forcing very short exposures. Because of the semi-random phase shifts, the traditional approach
averages exposure power spectra to build signal-to-noise ratio (SNR). This incoherent average has two problems:
(1) A bias of correlated noise is introduced which must be subtracted. The smaller the visibility/the fainter the
target star, the more diffcult bias subtraction becomes. SNR builds only slowly in this case. Unfortunately, these
most difficult small visibility baselines contain most of the image information. (2) Baseline phase information is
discarded. These are serious challenges to imaging with ground based optical interferometers. But if we were able
to determine fringe phase, we could shift and integrate all the short exposures. We would then eliminate the bias
problem, improve the SNR, and we would have preserved most of the phase information. This coherent averaging
becomes possible with multi-spectral measurements. The group delay presents one option for determining phase.
A more accurate approach is to use a time-dependent model of the fringe. For the most interesting low-visibility
baselines, the atmospheric phase information can be bootstrapped from phase determinations on high-visibility
baselines using the closure relation. The NPOI, with 32 spectral channels and a bootstrapping configuration,
is well-suited for these approaches. We will illustrate how the fringe modeling approach works, compare it to
the group-delay approach, and show how these approaches can be used to derive bias-free visibility amplitude
and phase information. Coherent integration provides the highest signal-to-noise (SNR) improvement precisely
in the situations where SNR builds most slowly using incoherent averaging. Coherent integration also produces
high-SNR phase measurements which are calibration-free and thus have high real uncertainties as well. In this
paper we will show how to coherently integration on NPOI data, and how to use baseline visibilities and calibrate coherently integrated visibility amplitudes.
The technical status of the Navy Prototype Optical Interferometer (NPOI) since the last
SPIE meeting is summarized along with the current science programs. The instrument is
operated in an automatic observational mode, obtaining over 10,000 stellar observations
in the period, June 2004 through March 2006. The scientific program has been directed
at astrometry, TPF candidate stars, binary stars and other interesting targets such as Be
stars. A significant database of NPOI observations obtained in 1997-2004 is being
analyzed for binaries and single stars such as rapid rotating stars: Altair and Vega.
In this report we explore replacing the widely used optimal V2 estimator with a model-fitting approach. We show that it is possible to fit the fringe power spectra with a physically reasonable model. This approach eliminates the biggest problem with the standard squared visibility estimator - determining the additive, dector-noise bias. We examine the dependence of the bias on count rate for consistency betwee on- and off-fringe measurements. The change of bias with fringe frequency provides additional information about the performance of the detectors. We have also applied a similar approach to the bias correction for the triple product, with comparable results.
At the Navy Prototype Optical Interferometer (NPOI) we have developed a two-stage method for preparation and installation of the optical feed relay stations (elevators). This method reduces contamination, increases consistency, and allows greater management in testing and upgrades. In stage one, we prepare a pre-alignment facility in a laboratory. Using this facility we accurately position the feed stations, internal optics and detector optics relative to the NPOI array line-of-sight. The feed station is cleaned, assembled, internally aligned, tested and placed in its vacuum canister. It is stored under vacuum until transported to the array. In stage two, we align the station on the array by global five-axis adjustments of the vacuum canister. No further independent internal alignments are necessary. The canister is continuously under vacuum during global alignments. We describe the methodology and techniques for installing the optical feed stations.
We have developed a method for performing long coherent integrations
with the Navy Prototype Optical Interferometer (NPOI), which is based
on fitting a model fringe pattern to the NPOI data frames. The
procedure is quite computationally intensive, but gives a better
estimation of the phase than the conventional method of location the
peak of the group delay power. We mention briefly some of the most
important past work on coherent integration, and then describe our
method. We conclude that the fitting approach produces a phase with
fewer outliers than the Fourier-transform group delay approach. We
show how the instrumental squared visibility varies as a function of
the fringe model used, and show that it provides a better SNR than the
FT method. The phase determination will always be imperfect, and thus
cause a reduction in the visibility amplitude relative to the true
instrumental visibility. We illustrate a method for calibrating the
visibility amplitude. With long coherent integrations the phase of the
visibility can be extracted. We show examples of visibility phases and
how to correct them for phase variations in the instrument. Finally,
we illustrate a method for measuring stellar diameters very precisely,
to one part in at least several hundred.
At the Navy Prototype Optical Interferometer (NPOI), during stellar fringe acquisition and tracking, optical stations along the NPOI vacuum line array remain in passive mode. Optical drift amplitude and rate must remain below certain limits lest stellar acquisition and fringe tracking become unachievable. Subsequent to each observation, relay mirrors are reconfigured within the long delay line stations to provide appropriate constant delays. The placement of these mirrors must be reliable and repeatable within certain tolerances. We describe the results of drift tests conducted on the current long delay line stations.
We review the theory of rotating stars, first developed 80 years ago. Predictions include a specific relation between shape and angular velocity and between surface location and effective temperature and effective gravity. Seen at arbitrary orientation rapidly rotating stars will display ellipsoidal shapes and possibly quite asymmetric intensity distributions. The flattening due to rotation has recently been detected at PTI and VLTI. With the increasing baselines available in the visible and the implementation of closure phase measurements at the NPOI it is now possible to search for the surface brightness effects of rotation. Roche theory predicts only large scale deviations from the usual centro-symmetric limb-darkened models, ideal when the stellar disks are only coarsely imaged as now. We report here observations of Altair and Vega with the NPOI using baselines that detect fringes beyond the first Airy zero in both objects. Asymmetric, non-classical intensity distributions are detected. Both objects appear to be rotating at a large fraction of their breakup velocity. Vega is nearly pole on, accounting for its low apparent rotational velocity. Altair's inclination is intermediate, allowing high S/N detection of all the predicted features of a Roche spheroid. We describe how these objects will test this fundamental theory and how Vega's role as a standard will need reinterpretation.
We present recent results from the Wide-Field Imaging Interferometry
Testbed (WIIT). Using a multi-pixel detector for spatial multiplexing, WIIT has demonstrated the ability to acquire wide-field imaging interferometry data. Specifically, these are "double Fourier"
data that cover a field of view much larger than the subaperture diffraction spot size. This ability is of great import for a number of proposed missions, including the Space Infrared Interferometric Telescope (SPIRIT), the Submillimeter Probe of the Evolution of Cosmic Structure (SPECS), and the Terrestrial Planet Finder (TPF-I)/DARWIN. The recent results are discussed and analyzed, and future study directions are described.
The Navy Prototype Optical Interferometry (NPOI) group has started an astrometric search for planets in binary star systems based on the idea of using the binary components as position references for one another and looking for deviations from Keplerian motion.
Our search will complement the radial velocity (vR) searches in three ways. We will observe stars of all spectral types; vR searches are limited to the FGKM range, where stars exhibit narrow spectral lines. We will search for planets in relatively large orbits (more than about 4 AU) where our method is most sensitive; vR searches are most sensitive to close-in planets. Finally, we will examine binary star systems, which with a few exceptions have been excluded from vR surveys.
Our targets are binaries with both components in the interferometric field of view, producing a periodic variation in the fringe visibility (V2) across the (u,v) plane. Past NPOI results from closer binaries (separations in the tens of mas) show residuals of tens of microarcseconds about the best-fit orbits. The larger separations we are observing produce more V2 oscillations across the (u,v) plane, offering the possibility of higher precision. We discuss the level of precision in test observations and the steps that will be needed to convert precision into accuracy.
We present preliminary results from an ongoing survey for multiplicity among the bright stars using the Navy Prototype Optical Interferometer (NPOI). While the NPOI has previously concentrated on producing "visual" orbits of known close speckle and spectroscopic binaries, we have now embarked on a broader survey to detect new binary/multiple systems. We first present a summary of previous NPOI observations of known binary and multiple systems to illustrate the instrument's detection sensitivity for binaries at large magnitude differences over the range of angular separation detectable by the NPOI (currently 3 - 300 mas). We then discuss early results of the survey of bright stars north of declination -20°. This survey, which compliments previous surveys of the bright stars by speckle interferometry, initially emphasizes stars in a proposed Terrestrial Planet Finder (TPF) target list. To date, 29 of the 60 brightest TPF candidate stars (V ≤ 4.3) have each been observed on multiple nights. Preliminary analysis of these data indicates the possible detection of stellar companions to several of these stars.
This paper describes a standard for exchanging calibrated data from optical (visible/infrared) stellar interferometers. The standard is based on the Flexible Image Transport System (FITS). The formal
definition of the standard is contained in a separate document, the Format Specification. The latest version of the Format Specification is available from the website http://www.mrao.cam.ac.uk/~jsy1001/exchange/. This document gives an overview of the format, and explains some of the decisions taken in designing it.
We discuss the procedure used to characterize the Wide-Field Imaging
Interferometry Testbed (WIIT) components and system, including
spectral transmission, throughput, wavefront quality, mechanical and
thermal stability, and susceptibility to turbulence. The sources of
uncertainty and visibility loss are identified and evaluated, and we
briefly discuss measures taken to mitigate these effects. We further
discuss calibration techniques which can be used to compensate for
visibility loss factors, and describe the applicability of these
calibration techniques to the future space-based far-IR interferometry
missions SPIRIT (Space Infrared Interferometric Telescope) and SPECS
(Submillimeter Probe of the Evolution of Cosmic Structure).
We have enhanced the spectral resolution of the Navy Prototype Optical Interferometer (NPOI) at the H-alpha line to 3 nm (FWHM). We use customized filters that suppresses light in the ~600-725 nm window except for light at the H-alpha wavelength (656.3 nm). The bands shortward of 600 nm and longward of 725 nm are used for fringe tracking and for calibrating the system fringe visibility. We have used these filters to observe H-alpha emission from circumstellar material around Be stars. Closure phases from our initial observations of the Be star zeta Tau with three array elements suggest that the H-alpha emission is not centered on the star. We will show these three-element results, as well as recently-acquired data from the NPOI using 4, 5, and 6 stations.
We describe recent science projects that the Navy Prototype Optical Interferometer (NPOI) scientific staff and collaborators are pursuing. Recent results from the wide angle astrometric program and imaging programs (rapid rotators, binaries and Be stars) will be summarized. We discuss some of the technology that enables the NPOI to operate routinely as an observatory astronomical instrument.
The Stellar Imager (SI) is envisioned as a space-based, UV-optical interferometer composed of 10 or more one-meter class
elements distributed with a maximum baseline of 0.5 km. It is designed to image stars and binaries with sufficient resolution to enable long-term studies of stellar magnetic activity patterns,
for comparison with those on the sun. It will also support asteroseismology (acoustic imaging) to probe stellar internal structure, differential rotation, and large-scale circulations.
SI will enable us to understand the various effects of the magnetic fields of stars, the dynamos that generate these fields, and the internal structure and dynamics of the stars. The ultimate goal of the mission is to achieve the best-possible forecasting of solar activity as a driver of climate and space weather on time scales ranging from months up to decades, and an understanding of the impact of stellar magnetic activity on life in the Universe. In this paper we describe the scientific goals of the mission, the performance requirements needed to address these goals, the "enabling technology" development efforts being pursued, and the design concepts now under study for the full mission and a possible pathfinder mission.
The Navy Prototype Optical Interferometer has recently been equipped with specially-designed filters that pass Hα emission in a 2.5 nm band, suppress the continuum 50 nm to either side, and pass the continuum further from the Hα line. These filters allow fringe tracking on continuum light while taking data at Hα. Five- and six-aperture NPOI configurations have also been implemented recently. The improvement in U-V coverage with these configurations promises greater image fidelity in multi-spectral imaging as well as in specific lines, such as the very interesting Hα line. Using an array simulator operating in the AIPS++ environment, we simulate observations of Hα emission, assuming approximate source structure taken from earlier work in the literature. These simulations demonstrate the increased imaging capability of multi-aperture arrays and help define optimum Hα observation strategies.
We are now extending the studies of the angular diameters and limb darkening of K giant stars to K supergiants and dwarfs using the Navy Prototype Optical Interferometer (NPOI). Our goal is to compare our diameters with those predicted from model atmosphere calculations. The K supergiants, (epsilon) Peg, (zetz) Cep, and (xi) Cyg, as well as the K2 dwarf, (epsilon) Eri, have been observed with three elements of the astrometric sub-array. The diameters for giants are in good agreement with model predictions; while the results for supergiants agree less well, the extinction corrections make the comparison more uncertain. The measured diameter for (epsilon) Eri is significantly larger than that predicted by the models. These results show the power of the NPOI for testing fundamental astrophysical theory.
We present results of an on-going program to measure limb- darkened angular diameters of late-type giant stars using the Navy Prototype Optical Interferometer (NPOI). Observing with three elements of the NPOI and using twenty spectral channels covering the wavelength range from 520 nm to 850 nm we are able to extend the spatial frequency coverage beyond the first null in the stellar visibility function for a number of K giants. These observations make use of the technique of phase bootstrapping in which the shorter baselines with high visibilities are used to keep the longer baselines in phase. The data are inconsistent with a uniform brightness stellar disk. Adopting a particular limb- darkening model enables us to derive an angular diameter with high precision. The total uncertainty is dominated by our knowledge of the wavelength scale. These observations also include measurements of the closure phase, which shows a jump of 180 degrees at the position of the first null in the visibility amplitude. This is the first time a non-zero closure phase has been measured on a single star with a separate element optical interferometer.
The high-spatial-frequency fringes that contain detailed information about a stellar image are generally too weak to track. The Navy Prototype Optical Interferometer (NPOI) is the first interferometer to measure these fringes with the techniques of phase bootstrapping - the use of fringe tracking on two short baselines AB and BC to keep a longer baseline AC phased up - and wavelength bootstrapping - the use of fringe tracking at long wavelengths to keep the long baseline phased up at short wavelengths. We demonstrate the utility of phase and wavelength bootstrapping with the NPOI observations of stellar limb darkening of (beta) Cancri of Pauls et al. in these proceedings. The NPOI baselines and wavelength coverage were 19, 22, and 38 m and (lambda) 450 to (lambda) 850 nm. For (lambda) < 675 nm, the 37 m baseline samples the uv plane beyond the first null of the Airy disk.
KEYWORDS: Spectroscopy, Atmospheric sensing, Atmospheric chemistry, Temperature metrology, Remote sensing, Amplifiers, Receivers, Calibration, Monte Carlo methods, Field effect transistors
A novel mm-wave radiometer system specifically designed for measuring water vapor in the stratosphere is presented. The instrument, which is based on an HEMT front-end amplifier, is described in detail. The data retrieval scheme and the results of an extensive instrument data simulation study are also presented. The device's principal features are its capability to conduct measurements of the water vapor profile simultaneously from 25-75-km altitude, with excellent long-term relative precision, and semiautomatically at a remote site.
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