Three Methods Of Determining Magnitudes Of Individual Stars In Resolved Binary Systems
Creators: name: Roberts Jr., Lewis C.
Publisher: name: Zenodo
Year: 1998
Subjects: Binary Stars
Adaptive Optics

description: The only way to measure the mass of star is by analyzing its orbit with Kepler’s laws. Knowing the luminosity of a star in addition to its mass is very useful in theoretical astrophysics. For single stars with known distances, it is straightforward to calculate the luminosity. For binary stars determining the luminosity is often difficult, as most techniques measure the blended light from both and not that of the individual components. Three methods for measuring the differential<br>
magnitudes of resolved binary stars are investigated: adaptive optics (AO), aperture masking and bispectrum analysis.

<br>
Of the three techniques used here adaptive optics performed the best, producing differential magnitudes in Johnson I, R, V and B filters for 36 stars. The observational technique was to take many exposures of the same object in an effort to increase the signal-to-noise ratio. It was discovered that AO frames show frame-to-frame intensity variations. These inter-frame variations showed up in AO data from both the 1.5-m telescope at the Starfire Optical Range and the 100-inch telescope at Mt. Wilson Observatory. These variations are most likely caused by the failure of the AO system to fully compensate for the atmospheric distortions.

<br>
Aperture masking consists of dividing the telescope’s aperture into several subapertures. The light from each subaperture interferes and creates fringes. The brightness ratio of the binary can be determined from the resulting fringe pattern. The technique was hampered by the Intensified CCD (ICCD) detector used in these experiments and performed rather poorly,  producing only one differential magnitude measurement.

<br>
The main thrust of the bispectrum technique was to derive differential magnitudes from archival speckle data. The standard bispectrum technique is used to reconstruct images from speckle data, but it requires the observation of calibration stars, which are not needed in the standard speckle method. Instead, the method used here fits the phase of the bispectrum to a model binary star. This avoids having to use a calibrator star, because the phase of the bispectrum is not distorted by the atmosphere. Unfortunately this technique seems ill suited to ICCD speckle data, though it looks promising for photon-limited data.
description: {"references": ["Aime, C., &amp; Roddier, F., One-Dimensional Stellar and Solar Speckle", "Interferometry, Opt. Comm., 21 (1977), pp. 435-438.", "Andersen, J., Accurate masses and radii of normal stars, A&amp;A Rev., 3 (1991),", "pp. 91-126.", "Anderson, J.A., Application of Michelson\u2019s Interferometer Method to the", "Measurment of Close Double Stars, ApJ, 51 (1920), pp. 263-275.", "Argue, A.N., Bunclark, P.S., Irwin, M.J., Lampens, P., Sinachopoulos, D. &amp;", "Wayman, P.A., Double Star CCD Astrometry and Photometry, MNRAS, 259", "(1992), pp. 563-568.", "Armstrong, J.T., Mozurkewich, D., Rickard, L.J., Hutter, D.J., Benson, J.A.,", "Bowers, P.F., Elias, II, N.M., Hummel, C.A., Johnston, K.J., Buscher, D.F.,", "Clark, III, J.H., Ha, L., Ling, L.-C., White, N.M., &amp; Simon, R.S., The Navy", "Prototype Optical Interferometer, ApJ, 496 (1998), pp. 550-572.", "Ayers, G.R., Northcott, M.J., &amp; Dainty, J.C., Knox-Thompson and", "Triple-Correlation Imaging through Atmosphere Turbulence, JOSA-A, 5 (1988),", "pp. 963-985.", "Babcock, H.W., The Possibility of Compensating Astronomical Seeing, PASP,", "65 (1953), pp. 229-236.", "Bagnuolo, Jr., W.G., &amp; Gies, D.R., Tomographic Separation of Composite", "Spectra: The Components of the O-Star Spectroscopic Binary AO Cassiopeiae,ApJ, 376 (1991), pp. 268-271.", "Bagnuolo, Jr., W.G., Gies, D.R., Hahula, M.E., Wiemker, R., &amp; Wiggs, M.S.,", "Tomographic Separation of Composite Spectra. II. The Components of 29 UW", "Canis Majoris, ApJ, 423 (1994), pp. 446-455.", "Bagnuolo, Jr., W.G., Mason, B.D., Barry, D.J., Hartkopf, W.I., &amp; McAlister,", "H.A., Absolute Quadrant Determinations from Speckle Observations of Binary", "Stars, AJ, 103 (1992), pp. 1399-1407.", "Baldwin, J.E., Haniff, C.A., Mackay, C.D., &amp; Warner, P.J., Closure Phase in", "High-Resolution Optical Imaging, Nature, 320 (1986), pp. 595-597.", "Baldwin, J.E., Beckett, M.G., Boysen, R.C., Burns, D., Buscher, D.F., Cox,", "G.C., Haniff, C.A., Mackay, C.D., Nightingale, N.S., Rogers, J., Scheuer, P.A.G.,", "Scott, T.R., Tuthill, P.G., Warner, P.J., Wilson, D.M.A., &amp; Wilson, R.W., The", "First Images from an Optical Aperture Synthesis Array: Mapping of Capella", "with COAST at Two Epochs, A&amp;A, 306 (19996), pp. L13-L16.", "Bartelt, H., Lohmann, A.W., &amp; Wirnitzer, B., Phase and Amplitude Recovery", "from Bispectra, Appl.Optics, 23 (1984), pp. 3121-3129.", "Barth, W., Weigelt, G., &amp; Zinnecker, H., Speckle Masking Observations of the", "Young Binary Z Canis Majoris, A&amp;A, 291 (1994), pp. 500-504.", "Bates, R.H.T., Quek, B.K., &amp; Parker, C.R., Some Implications of Zero Sheets", "for Blind Deconvolution and Phase Retrieval, JOSA-A, 7 (1990), pp. 468-479.", "Beckers, J.M., Adaptive Optics for Astronomy: Principles, Peformance, and", "Applications, ARA&amp;A, 31 (1993), pp. 13-63.", "Bedding, T.R., The Orbit of the Binary Star Delta Scorpii, AJ, 106 (1993), pp.", "768-772.", "Bedding, T.R., Van Der L\u00a8uhe, O., Zijlstra, A.A., Eckart, A., &amp;", "Tacconi-Garman, L.E., First Light from the NTT Interferometer, The", "Messenger, 74 (1993), pp. 2-4.", "Bedding, T.R., Minniti, D., Courbin, F., &amp; Sams, B., Stellar Populations from", "Adaptive Optics Obserations: Four Test Cases, A&amp;A, 326 (1997), pp. 936-940.", "Bedding, T.R., &amp; Robertson, J.G, Optical Aperture Synthesis with the", "Anglo-Australian Telescope, PASAu, 8 (1989), pp. 78-80.", "Bedding, T.R., Robertson, J.G, &amp; Marson, R.G., An Optical Inteferometer with", "Wavelength Dispersion, A&amp;A, 290 (1994), pp. 340-348.", "Bedding, T.R., Robertson, J.G., Marson, R.G., Zijlstra, A.A., &amp; von der L\u00a8uhe,", "O., R Doradus: The Biggest Star in the Sky, Messenger, 87 (1997a), pp. 34-36.", "Bedding, T.R., Zijlstra, A.A., von der L\u00a8uhe, O., Robertson, J.G., Marson,", "R.G., Barton, J.R., &amp; Carter, B.S., The Angular Diameter of R Doradus: a", "Nearby Mira-like Star, MNRAS, 286 (1997b), pp. 957-962.", "Bester, M., Danchi, W.C., Degiaccomi, C.G., Greehil, L.J., Townes, C.H.,", "Atmospheric Fluctuations - Emperical Structure Functions and Projected", "Performance of Future Instruments, ApJ, 392 (1992), pp. 357-374.", "Bracewell, R.N., The Fourier Transform and its Applications McGraw-Hill,", "New York, New York, 1986 46-47.", "ten Brummelaar, T.A., Mason, B.D., Bagnuolo, Jr., W.G., Hartkopf, W.I.,", "McAlister, H.A., &amp;Turner, N.H., Differential Binary Star Photometry using the", "Adaptive Optics System at Starfire Optical Range, AJ, 112 (1996), pp. 1180-1187.", "Bouvier, J. Rigault, F., &amp; Nadeau, D., Pleiades Low-Mass Binaries: Do", "Companions Affect the Evolution of Protoplanetary Disks, A&amp;A, 323 (1997), pp.", "139-150.", "Burg, J.P., (1967) Proc. of the 37th Meeting of Society of Exploration", "Geophysics.", "Burns, D., Baldwin, J.E., Boysen, R.C., Haniff, C.A., Lawson, P.R., Mackay,", "C.D., Rogers, J., Scott, T.R., St-Jacques, D., Warner, P.J., Wilson, D.M.A., &amp;Young, J.S., Large-Amplitude Periodic Variations in the Angular Diameter of R", "Leonis, MNRAS, 297 (1998), pp. 462-467.", "Buscher, D.F., A Thousand and One Nights of Seeing on Mount Wilson, Proc.", "SPIE, 2200 (1994), pp. 260-271.", "Buscher, D.F., &amp; Haniff, C.A., Diffraction-Limited Imaging with Partially", "Redundant Masks: II Optical Imaging of Faint Sources, JOSA-A, 10 (1993), pp.", "1882-1894.", "Buscher, D.F., Haniff, C.A., Baldwin, J.E., &amp; Warner, P.J., Detection of a", "Bright Feature on the Surface of Betelegeuse, MNRAS, 245 (1990), pp. 7-8.", "Childers, D.G., (1978) Modern Spectrum Analysis, eds: Childers, D.G., (IEEE", "Press: New York, New York), 34-41.", "van Cittert, von P.H., Die Wahrscheinliche Schwingungsverteilung in Einer von", "Einer Lichtquelle Direckt Oder Mittels Einer Linse Beleuchteten Ebene, Physica,", "1 (1934), pp. 201-210.", "Clark, B.G., (1994) Synthesis Imaging in Radio Astronomy, eds: Perley, R.A.,", "Schwab, F.R., &amp; Bridle, A.H., (Astronomical Society of the Pacific: San", "Francisco, California), 1-10.", "Collinson, D.W, Magnetic Properties of Martian Meteorites: Implications for", "an Ancient Martian Magnetic Field, Meteoritics, &amp; Planetary Science, 32", "(1997), pp. 803-811.", "Cornwell, T.J., Radio-Interferometric Imaging of Weak Objects in Conditions", "of Poor Phase Stability: The Relationship Between Speckle Masking and Phase", "Closure Methods, A&amp;A, 180 (1987), pp. 269-274.", "Currie,, D.G., Knapp, S.L., &amp; Liewer, K.M., Four Stellar-Diamter", "Measurements by a New Technique: Amplitude Interferometry, ApJ, 187 (1974),", "pp. 131-134.", "Dainty, J.C., &amp; Greenaway, A.H., Estimation of Spatial Power Spectra in", "Speckle Interferometry, JOSA, 69 (1979), pp. 786-790.", "Danchi, W.C., Bester, M., Degiacomi, C.G., Greenhil, L.J., &amp; Townes, C.H.,", "Charcteristics of Dust Shells Around 13 Late-Type Stars, ApJ, 107 (1994), pp.", "1469-1513.", "Davis, J., (1981) Current Techniques in Double and Multiple Star Research,", "eds: Harrington, R.S, &amp; Franz, O.G., (Lowell Obs.: Flagstaff Arizona), 191-200.", "Davis, J., (1994) Very High Angular Resolution Imaging, eds: Robertson, J.G.,", "&amp; Tanglo, W.J., (Kluwer: Dordrecht, Netherlands), 135-142.", "Davis, J., (1997) High Angular Resolution in Astrophysics, eds: Lagrange,", "A.-M., Mourard, D., &amp; L\u00b4ena, P., (Kluwer: Dordrecht Netherlands), 49-79.", "Davis, J., Lawson, P.R., Booth, A.J., Tango, W.J., &amp; Thorvaldson, E.D.,", "Atmospheric Path Variations for Baselines up to 80 m Measured with the", "Sydney University Stellar Interferometer, MNRAS, 273 (1995), pp. L53-L58.", "Devaney, N., Adaptive Optics Plans for the Gran Telescope Canarias, Proc.", "SPIE, 2871 (1997), pp. 837-841.", "ESA, (1997) SP-1200 Hipparcos and Tycho Catalogs.", "Foy, R., (1997) High Angular Resolution in Astrophysics, eds: Lagrange, A.-M.,", "Mourard, D., &amp; L\u00b4ena, P., (Kluwer: Dordrecht Netherlands), 3-230.", "Foy, R., Labeyrie, A., Feasibility of Adaptive Telescope with Laser Probe, A&amp;A,", "152 (1985), pp. L29-L31.", "Franz, O.G., Kreidl, T.J., Wasserman, L.H., Bradley, A., Nelan, E., Story, D.,", "&amp; Whipple, A.L., (1992) Complementary Approaches to Double and Multiple", "Star Research, eds: McAlister, H.A., &amp; Hartkopf, W.I., (Astronomical Society of", "the Pacific: San Francisco California), 369-376.", "Fried, D.L., Optical Resolution through a Randomly Inhomogeneous Medium for", "Very Long and Very Short Exposures, JOSA, 56 (1966), pp. 1372-1379.", "Fried, D.L., Anisoplanatism in Adaptive Optics, JOSA, 72 (1982), pp. 52-61.", "Fugate, R.Q., Ellerbroek, B.L., Higgins, C.H., Jelonke, M.P., Lange, W.J.,", "Slavin, A.C., Wilde, W.J., Winker, D.M., Wynia, J.M., Spinhirne, J.M., Boake,", "B.R., Ruane, R.E., Moroney, J.F., Oliker, M.D., Swindele, D.W., &amp; Cleis, R.A.,", "Two Generations of Laser-Guide-Star Adaptive-Optics Experiments at Star Fire", "Optical Range, JOSA-A, 11 (1994), pp. 310-325.", "Gilliand, R.L., &amp; Dupree, A.K., First Image of the Surface of a Star with the", "Hubble Space Telescope, ApJ, 463 (1996), pp. 29L-32L.", "Glindemann, A., Lane, R.G., &amp; Dainty, J.C., Estimation of Binary Star", "Parameters by Model Fitting the Bispectrum Phase, JOSA-A, 9 (1992), pp.", "543-548.", "Glindemann, A., &amp; Dainty, J.C., Object Fitting to the Bispectral Phase by", "Using Least Squares, JOSA-A, 10 (1993), pp. 1056-1063.", "Goecking, K.-D., Duerbeck, H.W., Plewa, T., Kaluzny, J., Schertl, D., Weigelt,", "G., &amp; Flin, P., The W Ursae Majoris System ER Ori: A Multiple Star, A&amp;A,", "289 (1994), pp. 827-836.", "Graves, J.E., McKenna, D.L, The University of Hawaii Adaptive Optics", "System. III - The Wavefront Curvature Sensor, Proc. SPIE, 1542 (1991), pp.", "262-272.", "Griffin, R.F., &amp; Gunn, J.E., Hyades Giants \u03b4 adn \u03b81 Tauri as Spectroscopic", "Binaries, AJ, 82 (1977), pp. 176-177.", "Hanbury Brown, R., The Intenstity Interferometer: Its application to", "Astronomy Halsted Press, New York, New York, 1974 1-184.", "Hanbury Brown, R., Davis, J., Allen, L.R., &amp; Rome, J.M., The Stellar", "Interferometer Narrabri Observatory-II The Angular Diameters of 15 Stars,", "MNRAS, 137 (1967), pp. 393-417.", "Haniff, C.A, (1988) High Resolution Imaging by Interfereometry, eds: Merkle,", "F., (ESO: Munich), 605-612.", "Haniff, C.A., Least-Squares Fourier Phase Estimation from the Modulo 2\u03c0", "Bispectrum Phase, JOSA-A, 8 (1991), pp. 134-140.", ". Haniff, C.A., Buscher, D.F., Christou, J.C., &amp; Ridgway, S.T., Synthetic", "Aperture Imaging at Infrared Wavelengths, MNRAS, 241 (1989), pp. 51p-56p.", "Haniff, C.A., Ghez, A.M., Gorham, P.W., Kulkarni, S.R., Matthews, K., &amp;", "Neubegauer, G., Optical Aperture Synthetic Images of the Photosphere and", "Molecular Atmosphere of Mira, AJ, 103 (1992), pp. 1662-1667.", "Haniff, C.A., Mackay, C.D., Titterington, D.J., Sivia, D., Baldwin, J.E., &amp;", "Warner, P.E., The First Images from Optical Aperture Synthesis, Nature, 328", "(1987), pp. 694-696.", "Haniff, C.A., Scholz, M., &amp; Tuthill, P.G., New Diameter Measurements for 10", "Mira Variables: Implications for Effective Temperatures, Atmospheric Structure", "Pulsation Modes, MNRAS, 276 (1995), pp. 640-650.", "Haniff, C.A., &amp; Wilson, R.W., Closure-Phase Imaging with Partial Adaptive", "Corrections, PASP, 106 (1994), pp. 1003-1014.", "Hardy, J.W., Active Optics: A New Technology for the Control of Light, Proc.", "IEEE, 66 (1978), pp. 651-697.", "Hartkopf, W.I., McAlister, H.A., Mason, B.D., ten Brummelaar, T., Roberts,", "Jr., L.C., Turner, N.H., &amp; Wilson, J.W., ICCD Speckle Observations of Binary", "Stars. XVII. Measurements During 1993-1995 From the Mount Wilson 2.5-m", "Telescope, AJ, 114 (1997), pp. 1639-1656.", "Hartkopf, W.I., McAlister, H.A., &amp; Mason, B.D., (1998) Third Catalog of", "Interferometric Measurements of Binary Stars, http://www.chara.gsu.edu/DoubleStars/Speckle/intro.html.", "Hecht, E., Optics Addison-Wesley, Reading Massachusetts, 1987 333-391.", "Hege, E.K., Hubbard, E.N., Cocke, W.J., Strittmatter, P.A., Worden, S.P., &amp;", "Radick, R.R., (1981) Current Techniques in Double and Multiple Star Research,", "eds: Harrington, R.S, &amp; Franz, O.G., (Lowell Obs.: Flagstaff Arizona), 185-190.", "Hickson, P., A Technique for Photometric Detection and Measurment of", "Unresolved Binary Subsystems, PASP, 110 (1997), pp. 186-192.", "Hoffman, K.-H., &amp; Weigelt, G, Iterative Image Reconstruction from the", "Bispectrum, A&amp;A, 278 (1993), pp. 328-339.", "H\u00a8ogbom, J.A., Aperture Synthesis with a Non-Regular Distribution of", "Interferometer Baselines, A&amp;AS, 15 (1974), pp. 417-426.", "Horch, E., Speckle Imaging in Astronomy, International Journal of Imaging", "Systems and Technology, 6 (1995), pp. 401-417.", "Hubin, N., VLT Adaptive Optics Program at the European Southern", "Observatory, Proc. SPIE, 2871 (1997), pp. 827-836.", "Isobe, S., Norimoto, Y., Noguchi, M., Ohtsubo, J., Baba, N., Miura, N.,", "Yanaka, H., &amp; Tanaka, T., Speckle Observations of Visual and Spectroscopic", "Binaries I, Publ. Natl. Astron. Obs. Jpn., 1 (1990a), pp. 217-225.", "Isobe, S., Norimoto, Y., Noguchi, M., Ohtsubo, J., Baba, N., Miura, N.,", "Yanaka, H., &amp; Tanaka, T., Speckle Observations of Visual and Spectroscopic", "Binaries II, Publ. Natl. Astron. Obs. Jpn., 1 (1990b), pp. 381-392.", "Iye, M., Ando, H., Kashikawa, N., Miyazaki, S., Nishimura, T., Noguchi, K.,", "Otsubo, M., Sasaki, T., Sekiguchi, K., Sekiguchi, M., Takami, H., Takato, N.,", "Tanaka, W., Okamura, S., Akahori, H., Muramattsu, M., SubaruInstrumentation Plan and Optical Instruments, Proc. SPIE, 2871 (1997), pp.", "1054-1063.", "Jefferies, S.M., (1994) Cool Stars, Stellar Systems, and the Sun, eds: J.-P.", "Callault, (Astronomical Society of the Pacific: San Francisco California),", "619-628.", "Jennison, R.C., A Phase Sensitive Interferometer Technique for the", "Measurment of the Fourier Transforms of Spatial Brightness Distributions of", "Small Angular Extent, MNRAS, 118 (1958), pp. 276-284.", "Katagiri, S., K.-I., Kawaguchi, N., &amp; Hayakawa, M., An Imaging Algorithim", "Using the Bispectrum in Radio Interferometry, PASJ, 49 (1997), pp. 123-129.", "Kiuchi, H., Amagai, J., Hama, S., &amp; Imae, M., K-4 VLBI Data-Acquisition", "System, PASJ, 49 (1997), pp. 699-708.", "Kolmogorof, A., The Local Structure of Turbulence in Incompressible Viscous", "Fluid for Very Large Reynolds\u2019Number, Comptes Rendus [Doklady] de", "l\u2019Acad\u00b4emie des Sciences de l\u2019URSS, 30(4) (1941), pp. P301-P305.", "Knox, K.T., Thompson, B.J., Recovery of Images from Atmospherically", "Degraded Short-Exposure Photographs, ApJ, 193 (1974), pp. L45-L48.", "Kulkarni, S.R., (1988) High Resolution Imaging by Interfereometry, eds:", "Merkle, F., (Publisher: where), 595-603.", "Labeyrie, A., Attainment of Diffraction Limited Resolution in Large Telescopes", "by Fourier Analysing Speckle Patterns in Star Images, A&amp;A, 6 (1970), pp. 85-87.", "L\u00b4ena, P., (1997) High Angular Resolution in Astrophysics, eds: Lagrange,", "A.-M., Mourard, D., &amp; L\u00b4ena, P., (Kluwer: Dordrecht Netherlands), 3-12.", "Leinert, Ch., Weitzel, N., Richichi, A., Eckart, A. Tacconi-Garman, L.E., Two", "Faint Companions to the Nearby Low-Mass Star LHS 1070, A&amp;A, 291 (1994),", "pp. L47-L50.", "Lannes, A., (1988) High Resolution Imaging by Interferometry, eds: Merkle, F.,", "(ESO: Munich Germany), 169-180.", "Lindroos, K.P., A Study of Visual Double Stars with Early Type Primaries. II", "Photometric Results, A&amp;AS, 51 (1983), pp. 161-178.", "Lohmann, A.W., Weigelt, G., &amp; Wirnitzer, B., Speckle Masking in Astronomy:", "Triple Correlation Theory and Applications, Appl.Optics, 22 (1983), pp.", "4028-4037.", "Lupie, O., &amp; Nelan, E., Fine Guidance Sensors, STScI Newsletter, 15 (1998),", "pp. 8-9.", "Mansuripur, M., Michelson\u2019s Stellar Inteferometer, Opt., &amp; Photo. News, 9", "(1998), pp. 40-43.", "Mason, B.D., (1994) Speckles and Shadowbands. Ph.D. Dissertation, Georgia", "State University", "Mason, B.D., (1995) Catalog of Photoelectric Measures of Occultation Binary", "Stars. Chara Contribution Number 3", "Mason, B.D., ICCD Speckle Observations of Binary Stars. XV. An", "Investigation of Lunar Occultation Systems, AJ, 112 (1996), pp. 1160-2273.", "Mason, B.D., McAlister, H.A., &amp; Hartkopf, W.I., Binary Star Orbits from", "Speckle Interferometery. IX. The Nearby Solar-Type Speckle-Spectroscopic", "Binary Fin 247 Aa, AJ, 112 (1996), pp. 276-283.", "Mason, B.D., McAlister, H.A., Hartkopf, W.I. &amp; Bagnuolo, Jr., W.G., ICCD", "Speckle Observations of Binary Stars. VII. A Duplicity Survey of the Hyades", "Cluster, AJ, 105 (1993), pp. 220-225.", "Marson, R.G., Bedding, T.R., &amp; Robertson, J.G., Multi-Wavelength Optical", "APertuer Synthesis, PASAu, 10 (1992), pp. 71-73.", "Mauder, W., Weigelt, G., Appenzeller, L., &amp; Wagner, S.J., 44-50, A&amp;A, 1994", "(1998), pp. 285. High Resolution Optical Images of the Starburst Ring Around", "the Seyfert Nucleus of NGC 7469", "Max, C.E., Oliver, S.S., Friedman, H.W., An, J., Avicola, K., Beeman, B.V.,", "Bissinger, H.D., Brase, J.M., Erbert, G.V., Gavel, D.T., Kanz, K., Liu, M.C.,", "Macintosh, B., Neeb, K.P., Patience, J. &amp; Waltjen, K.E., Image Improvement", "from a Sodium-Laser Guide Star Adaptive Optics System, Science, 277 (1997),", "pp. 1649-1652.", "McAlister, H.A., (1994) Cool Stars, Stellar Systems, and the Sun, eds: J.-P.", "Callault, (Astronomical Society of the Pacific: San Francisco California),", "641-648.", "McAlister, H.A., Bagnuolo, W.G., ten Brummelaar, T., Hartkopf, W.I.,", "Turner, N.H., Garrison, A.K., Robinson, W.G., &amp; Ridgway, S.T., CHARA", "Array, Proc. SPIE, 2200 (1994), pp. 129-139.", "McAlister, H.A., &amp; Hendry, E.M., Speckle Interferometric Measurments of", "Binary Stars. VII, ApJS, 49 (1982), pp. 267-272.", "McAlister, H.A., Hartkopf, W.I., &amp; Franz, O.G., ICCD speckle observations of", "binary stars. V. Measurements during 1988-1989 from the Kitt Peak and the", "Cerro Tololo 4m telescopes, AJ, 99 (1990), pp. 965-978.", "McAlister, H.A., Hartkopf, W.I., Hutter, D.J., &amp; Franz, O.G., ICCD Speckle", "Observations of Binary Stars. VII. Measurments During 1982-1985 From the", "Kitt Peak 4-m, AJ, 93 (1983), pp. 688-723.", "McCarthy, D.W., Howell, R., &amp; Low, F.J., Apparent Variation in the", "Diameter of o Ceti at 10.2 Microns, ApJ, 223 (1978), pp. L113-L116.", "McCarthy, D.W., Howell, R., &amp; Low, F.J., Spatial Spectra of IRC +10216", "from 2.2 to 20 Microns Deviations from Spherical Symmetry, ApJ, 235 (1980),", "pp. L27-L32.", "McCarthy, D.W., &amp; Low, F.J., Initial Results of Spatial Interferometry at 5", "Microns, ApJ, 202 (1975), pp. L37-L40.", "McCarthy, D.W., Low, F.J., &amp; Howell, R., Angular Diameter Measurements", "of \u03b1 Orionis, VY Canis Majoris and IRC +10216 at 8.3, 10.2, and 11.1", "Micrometers, ApJ, 214 (1977), pp. L85-L89.", "Merrill, P.W., Interferometer Observations of Double Stars, ApJ, 56 (1922),", "pp. 40-52.", "Michelson, A.A., On the Application of Interference Methods to Astronomical", "Measurements, Phil. Mag., 30 (1890), pp. 1-20.", "Michelson, A.A., Measurement of Jupiter\u2019s Satellites by Interference, Nature,", "45 (1891), pp. 160-161.", "Michelson, A.A., On the Application of Interference Methods to Astronomical", "Measurements, ApJ, 51 (1920), pp. 257-262.", "Michelson, A.A., &amp; Pease, F.G., Measurement of the Diameter of \u03b1 Orionis", "with the Interferometer, ApJ, 53 (1921), pp. 249-259.", "Mihalas, D., &amp; Binney, J., Galactic Astronomy Structure and Kinematics", "Freeman, New York, New York, 1981 57.", "Merkle, F., Rousset, G., Kern, P., &amp; Gaffard, J.P., First Diffration-Limited", "Astronomical Images with Adaptive Optics, Proc. SPIE, 1236 (1990), pp.", "193-202.", "Morris, S., Davidge, T., Hutchings, J., Stetson, P., Durand, D., Crabtree, D.,", "&amp; Cote, P., Science Drivers for Adaptive Optics on Gemini North, Gemini", "Newsletter, 1 (1996), pp. 12-13.", "Morrison, M.A., Understanding Quantum Physics Prentice Hall, Engelwood", "Cliffs California, 1990 640.", "Nakajima, T., Signal-to-Noise Ratio of the Bispectral Analysis of Speckle", "Interferometry, JOSA-A, 5 (1988), pp. 1477-1491.", "Nakajima, T., &amp; Haniff, C.A., Partial Adaptive Compensation and Passive", "Interferomtry with Large Ground-Based Telescopes, PASP, 105 (1993), pp.", "509-520.", "Nakajima, T., Kulkarni, S.R., Gorham, P.W., Ghez, A.M., Neugebauer, G.,", "Oke, J.B., Prince, T.A., &amp; Readhead, A.C.S., Diffraction-Limited Imaging. II", "Optical Aperture-Synthesis Imaging of Two Binary Stars, AJ, 97 (1989), pp.", "1510-1525.", "Noll, R.J., Zernike Polynomials and Atmospheric Turbulence, JOSA, 66", "(1976), pp. 207-211.", "Northcott, M.J., Ayers, G.R., &amp; Dainty, J.C., Algorithms for Image", "Reconstruction from Photon-Limited Data Using the Triple Correlation, JOSA,", "5 (1988), pp. 986-992.", "Pehlemann, W., Hofmann, K.-H., &amp; Weigelt, G., Photon Bias Compensation", "in Triple Correlation Imaging and Observations of R 136, A&amp;A, 256 (1992), pp.", "701-714.", "Perez-Ilzarbe, M.J., &amp; Nieto-Vesperinas, M., Phase Retrieval of", "Photon-Limited Stellar Images from Information of the Power Spectrum Only,", "JOSA-A, 8 (1991), pp. 908-918.", "Petri, R.M., The Determination of the Magnitude Difference Between the", "Components of Spectroscopic Binaries, Publ. Dom. Astrophys. Obs. Victoria, 7", "(1939), pp. 205-238.", "Platzeck, R.P., &amp; Ferrer, O.E., Focal Grating Photometer for the", "Determination of the Differences of Magnitudes in Double Stars, A&amp;A, 84", "(1980), pp. 106-107.", "Readhead, A.C.S., Nakajima, T.S., Pearson, T.G., Neugebauer, G., Oke, J.B.,", "&amp; Sargent, W.L.W., Diffraction-Limited Imaging with Ground-Based Optical", "Telescopes, AJ, 95 (1988), pp. 1278-1296.", "Rhodes, W.T., &amp; Goodman, J.W., Interferometeric Technique for Recording", "and Restoring Images Degrade by Unknown Aberrations, JOSA, 61 (1973), pp.", "647-657.", "Roberts, Jr., L.C., ten Brummelaar, T.A., Bagnuolo, Jr., W.G., Hartkopf,", "W.I., Mason, B.D., McAlister, H.A., &amp; Turner, N.H., (1997) Fundemental", "Stellar Properties: The Interaction Between Observation and Theory, eds:", "Bedding, T.R., (University of Sydney Press: Sydney Australia), 72-75.", "Robertson, J.G., MAPPIT2: Second Generation High-Resolution Imaging at", "the AAT, PASAu, 14 (1997), pp. 189-194.", "Robertson, J.G, Bedding, T.R, Marson, R.G., Gillingham, P.R., Frater, R.H.,", "O\u2019Sullivan, J.D., &amp; Norris, R.P., High-resolution Imaging by Optical Aperture", "Synthesis: First Results from the MAPPIT Project, PASAu, 9 (1991), pp.", "162-163.", "Roddier, F., Curvature Sensing and Compensation: A New Concept in", "Adaptive Optics, Appl.Optics, 27 (1988), pp. 1223-1225.", "Rodier, F., Northcott, M., &amp; Graves, J.E., A Simple Low-Order Adaptive", "Optics System For Near-Infrared Applications, PASP, 103 (1991), pp. 131-149.", "Rogstad, D.H, A Technique for Measuring Visibility Phase with an Optical", "Interferometer in the Presence of Atmospheric Seeing, Appl.Optics, 7 (1968),", "pp. 585-588.", "Salinari, P., Large Binocular Telescope Interferometer, Proc. SPIE, 2871", "(1997), pp. 564-574.", "Schwarzschild,K., Ueber Messung von Deoppelsternen durch Interferenzen,", "Astron. Nachr., 139 (1896), pp. 23.", "Shack, R.V., &amp; Platt, B.C., Production and Use of a Lenticular Hartmann", "Screen, JOSA, 61 (1971), pp. 656.", "Shelton, J.C., &amp; Baliunas, S.L., Results of Adaptive Optics at Mt. Wilson", "Observatory, Proc. SPIE, 1920 (1993), pp. 371-380.", "Shelton, J.C., Schneider, T., McKenna, D., &amp; Baliunas, S.L., First Tests of", "the Cassegrain Adaptive Optics System of the Mount Wilson 100-in Telescope,", "Proc. SPIE, 2534 (1995), pp. 72-77.", "Sinachopoulos, D., CCD Measurments of Visual Binaries, A&amp;AS, 76 (1988),", "pp. 189-193.", "Smutko, M.F., Design and Construction of Deformable Mirrors for the", "University of Chicago Adaptive Optics System, PASP, 109 (1997), pp. 807-814.", "Strehl, K., , Z. f. Instrumkde, 22 (1901), pp. 213.", "Tessier, E., Image Quality with Current Adaptive Optics Instruments, A&amp;AS,", "125 (1997), pp. 581-593.", "Tolbert, R.C, A UBV study of 94 Wide Visual Binaries, ApJ, 139 (964), pp.", "1105-1126.", "Turner, N.H., (1998) A Prototype Imager for the CHARA Array. Ph.D.", "Dissertation, Georgia State University", "Tuthill, P.G., Haniff, C.A., &amp; Baldwin, J.E., Long-term Diameter Variations", "in the Long-Period Variable o Ceti, MNRAS, 277 (1995), pp. 1541-1546.", "Tuthill, P.G., Haniff, C.A., &amp; Baldwin, J.E., Hotspots on Late-Type", "Supergiants, MNRAS, 285 (1997), pp. 529-539.", "Tuthill, P.G., Haniff, C.A., Baldwin, J.E., &amp; Feast, M.W., No", "Fundamental-Mode Pulsation in R Leonis?, MNRAS, 266 (1994), pp. 745-752.", "Tuthill, P., Monnier, J., &amp; Danchi, B., (1998) A Half-Century of Stellar", "Pulsation Interpretations, eds: Bradley, P.A., &amp; Guzik, J.A, (Astronomical", "Society of the Pacific: San Francisco California), 619-628.", "Warner, B., Hurly, P.R., &amp; Nather, R.E, Area Scanner Observations of Close", "Visual Double Stars - I. Technique, MNRAS, 202 (1983), pp. 753-760.", "Wirnitzer, B., Bispectral Analysis at Low Light Levels and Astronmical Speckle", "Masking, JOSA, 2 (1985), pp. 14-21.", "Wilson, R.W., Baldwin, J.E., Buscher, D.F., &amp; Warner, P.J., High-Resolution", "Imaging of Betelgeuse and Mira, MNRAS, 257 (1992), pp. 369-376.", "Wilson, R.W., Dhillon, V.S., &amp; Haniff, C.A., The Changing Face of", "Betelgeuse, MNRAS, 291 (1997), pp. 819-826.", "Wittkowski, M., Balega, Y., Beckert, T., Duschl, W.J., Hofmann, K.-H., &amp;", "Weigelt, G., Diffraction-limited 76mas Speckle Masking Observations of the Core", "of NGC 1068 with the SAO 6m Telescope, A&amp;A, 329 (1998), pp. L45-L48.", "Worden, S.P., Stein, M.K., Schmidt, G.D., &amp; Angel, J.R.P., The Angular", "Diameter of Vesta from Speckle Interferometry, Icarus, 32 (1977), pp. 450-457.", "Worley, C.E., Photometric Determination of Magnitude Differences for Visual", "Binaries, AJ, 74 (1969), pp. 764-767.", "Young, M., Optics and Lasers Springer-Verlag, Berlin Germany, 1993 91-97.", "Zernike, von F., Beugungstheorie des Schneidenverfahrens und Seiner", "Verbesserten Form, der Phasenkontrastmethode, Physica, 1 (1934), pp. 689-704.", "Zernike, F., The Concept of Degree of Coherence and its Application to", "Optical Problems, Physica, 5 (1938), pp. 785-795."]}