Abstract
We consider the problem of mapping with ultra-high angular resolution using a space—ground radio interferometer with a space antenna in a high orbit, whose apogee height exceeds the radius of the Earth by a factor of ten. In this case, a multielement interferometer essentially degenerates into a two-element interferometer. The degeneracy of the close-phase relations prevents the use of standard methods for hybrid mapping and self-calibration for the correct reconstruction of images. We propose a new phaseless mapping method based on methods for the reconstruction of images in the complete absence of phase information, using only the amplitudes of the spatial-coherence function of the source. In connection with this problem, we propose a new method for the reliable solution of the phase problem, based on optimizing information-carrying nonlinear functionals, in particular, the Shannon entropy. Results of simulations of mapping radio sources with various structures with ultra-high angular resolution in the framework of the RADIOASTRON mission are presented.
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References
A. T. Baikova, Pis’ma Astron. Zh. 30, 253 (2004) [Astron. Lett. 30, 218 (2004)].
T. J. Cornwell and E. B. Fomalont, in Synthesis Imaging in Radio Astronomy II. A Collection of Lectures from the Sixth NRAO/NMIMT Synthesis Imaging Summer School, Ed. by G. B. Taylor, C. L. Carilli, and R. A. Perley (Astron. Soc. Pac., San Francisco, 1999); Astron. Soc. Pac. Conf. Ser. 180, 187 (1999).
N. S. Kardashev, Exp. Astron. 7, 329 (1997).
Yu. M. Bruck and L. G. Sodin, Opt. Commun. 30, 304 (1979).
J. R. Fienup, Opt. Lett. 3, 27 (1978).
J. R. Fienup, Appl. Opt. 21, 2758 (1982).
G. I. Vasilenko and A. M. Taratorin, Image Restoration (Radio i Svyaz’, Moscow, 1986) [in Russian].
RADIOASTRON (Space VLBI Project), http://www.asc.rssi.ru/radioastron/description/orbit_eng.htm.
RADIOASTRON (Space VLBI Project), http://www.asc.rssi.ru/radioastron/description/mfs_eng.htm.
A. T. Bajkova, Preprint No. 24, IPA AN SSSR (Inst. Appl. Astron., USSR Acad. Sci., Moscow, 1990).
A. T. Bajkova, Preprint No. 58, IPA AN (Inst. Appl. Astron., Russian Acad. Sci., Moscow, 1993).
B. R. Frieden, J. Opt. Soc. Am. 62, 511 (1972).
B. R. Frieden and A. T. Bajkova, Appl. Opt. 34, 4086 (1995).
T. J. Cornwell, R. Braun, and D. S. Briggs, in Synthesis Imaging in Radio Astronomy II. A Collection of Lectures from the Sixth NRAO/NMIMT Synthesis Imaging Summer School, Ed. by G. B. Taylor, C. L. Carilli, and R. A. Perley (Astron. Soc. Pac., San Francisco, 1999); Astron. Soc. Pac. Conf. Ser. 180, 151 (1999).
R. J. Sault and J. E. Conway, in Synthesis Imaging in Radio Astronomy II. A Collection of Lectures from the Sixth NRAO/NMIMT Synthesis Imaging Summer School, Ed. by G. B. Taylor, C. L. Carilli, and R. A. Perley (Astron. Soc. Pac., San Francisco, 1999); Astron. Soc. Pac. Conf. Ser. 180, 419 (1999).
C. Ma and M. Feissel, IERS Technical Note No. 23 (1997).
D. R. Henstock, I. W. Browne, P. N. Wilkinson, et al., Astrophys. J., Suppl. Ser. 100, 1 (1995).
RADIOASTRON (Space VLBI Project), http://www.asc.rssi.ru/radioastron/description/observations_eng.htm.
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Translated from Astronomicheski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Zhurnal, Vol. 82, No. 12, 2005, pp. 1087–1098.
Original Russian Text Copyright © 2005 by Bajkova.
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Bajkova, A.T. A solution to the problem of phaseless mapping for a high-orbit space—Ground radio interferometer. Astron. Rep. 49, 973–983 (2005). https://doi.org/10.1134/1.2139813
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DOI: https://doi.org/10.1134/1.2139813