Advances in Calibration and Imaging Techniques in Radio Interferometry

This paper summarizes some of the major calibration and image reconstruction techniques used in radio interferometry and describes them in a common mathematical framework. The use of this framework has a number of benefits, ranging from clarification of the fundamentals, use of standard numerical optimization techniques, and generalization or specialization to new algorithms.

[1]  Tim J. Cornwell,et al.  The Noncoplanar Baselines Effect in Radio Interferometry: The W-Projection Algorithm , 2008, IEEE Journal of Selected Topics in Signal Processing.

[2]  Timothy J. Cornwell,et al.  Radio-interferometric imaging of very large fields. The problem of non-coplanar arrays. , 1992 .

[3]  Tim J. Cornwell,et al.  Multiscale CLEAN Deconvolution of Radio Synthesis Images , 2008, IEEE Journal of Selected Topics in Signal Processing.

[4]  Richard A. Perley,et al.  The Expanded Very Large Array: goals, progress, and plans , 2004, SPIE Astronomical Telescopes + Instrumentation.

[5]  Rajaram Nityananda,et al.  Solving for closure errors due to polarization leakage in radio interferometry of unpolarized sources , 2001 .

[6]  D. Malacara-Hernández,et al.  PRINCIPLES OF OPTICS , 2011 .

[7]  J. Goodman Introduction to Fourier optics , 1969 .

[8]  S. Bhatnagar,et al.  EVLA Memo 67 W PROJECTION: A NEW ALGORITHM FOR NON-COPLANAR BASELINES , 2003 .

[9]  J. Usón,et al.  Correcting direction-dependent gains in the deconvolution of radio interferometric images , 2008, 0805.0834.

[10]  Huub Röttgering,et al.  LOFAR, a new low frequency radio telescope , 2003 .

[11]  C. Carilli,et al.  Synthesis Imaging in Radio Astronomy II , 1999 .

[12]  Charles L. Lawson,et al.  Solving least squares problems , 1976, Classics in applied mathematics.

[13]  G. Swenson,et al.  Interferometry and Synthesis in Radio Astronomy , 1986 .

[14]  S. Bhatnagar,et al.  Scale sensitive deconvolution of interferometric images - I. Adaptive Scale Pixel (Asp) decomposition , 2004 .

[15]  A. Hopkins,et al.  Science with the Australian Square Kilometre Array Pathfinder , 2007, Publications of the Astronomical Society of Australia.

[16]  Mark A. Holdaway,et al.  Maximum entropy imaging of polarization in very long baseline interferometry , 1990, Optics & Photonics.

[17]  Beam squint and Stokes V with off-axis feeds , 2008, 0807.0026.

[18]  R. Schilizzi The Square Kilometre Array , 2006, Proceedings of the International Astronomical Union.

[19]  R. Sault,et al.  Understanding radio polarimetry. II. Instrumental calibration of an interferometer array , 1996 .

[20]  J. Högbom,et al.  APERTURE SYNTHESIS WITH A NON-REGULAR DISTRIBUTION OF INTERFEROMETER BASELINES. Commentary , 1974 .

[21]  T. J. Cornwell,et al.  Radio-interferometric imaging of very large objects , 1988 .

[22]  U. Schwarz,et al.  The Multi-Resolution CLEAN and its application to the short-spacing problem in interferometry , 1988 .

[23]  T. Cornwell,et al.  A simple maximum entropy deconvolution algorithm , 1985 .

[24]  R. Sault,et al.  Multi-frequency synthesis techniques in radio interferometric imaging. , 1994 .

[25]  R. Sault,et al.  Understanding radio polarimetry. I. Mathematical foundations , 1996 .

[26]  A. Hopkins,et al.  Science with ASKAP , 2008, 0810.5187.

[27]  H. Rottgering,et al.  LOFAR – a new low-frequency radio telescope , 2005, Proceedings of the International Astronomical Union.

[28]  Robert J. Sault,et al.  Polarimetric imaging of large fields in radio astronomy , 1999 .

[29]  T. Cornwell,et al.  A new method for making maps with unstable radio interferometers , 1981 .

[30]  Timothy J. Cornwell,et al.  The Design and Implementation of Synthesis Calibration and Imaging in AIPS , 1997 .

[31]  F. Schwab,et al.  Relaxing the isoplanatism assumption in self-calibration; applications to low-frequency radio interferometry , 1984 .

[32]  B. G. Clark,et al.  An efficient implementation of the algorithm 'CLEAN' , 1980 .