Summary
The effect of errors in an aperture synthesis map is intimately related to the geometry of the synthesis instrument and the properties of the two-dimensional Fourier transformation. This paper concentrates on E-W rotational synthesis, the simple geometry of which allows a systematic treatment. After some preliminary remarks about error statistics and tolerances, the relevant properties of the Fourier transformation in polar coordinates are first reviewed. A classification of error types as “global”, “circular”, “radial” or “local” is introduced, based on the geometry of the area in the aperture over which they are coherent. A few special errors not fitting into this classification are also discussed. The characteristics of the corresponding patterns in the synthesized beam are described and illustrated with computer simulations and real-life examples.
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References
Baars, J.W.M., van der Brugge, J.F., Casse, J.L., Hamaker, J.P., Sondaar, L.H., Visser, J.J. and Wellington, K.J., Proc. Inst. Elec. Electron. Engrs. 61, 1258.
Bracewell, R.N., “The Fourier Transform and its Applications”, New York: Mc Graw-Hill., 1965.
Bracewell, R.N. and Thompson, A.R.,1974 Astrophys. J. 182, 77.
Hamaker, J.P., 1978, to be published in Radio Science 13, Sept.-Oct. 1978.
Hamaker, J.P., 1979, to be submitted to Astron. Astrophys.
Hardy, R.N., 1974, Nature 249, 431.
Hargrave, P.J. and Shaw, L.J., 1978, Monthly Not. Roy. Astr. Soc. 182, 233.
Hinder, Richard and Ryle, Martin, 1971, Monthly Not. Roy. Astr. Soc. 154, 229.
Hügbom, J.A. and Brouw, W.N., Astron. Astrophys. 33, 289.
Rots, A.H., 1974, Thesis, University of Groningen, Netherlands.
Ryle, M. and Elsmore, B., 1973, Monthly Not. Roy. Astr. Soc. 164, 223.
Schwarz, U.J., 1978, this volume.
Strom, R.G., 1972, Neth. Found. Radio Astr., Internal Techn. Rep. ITR-99
Thompson, A.R. and Bracewell, R.N., 1974, Astron. J. 79, 11.
Weiler, K.W., 1973, Astron. Astrophys. 26, 403.
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© 1979 D. Reidel Publishing Company
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Hamaker, J.P. (1979). Measurement Errors in Rotational Synthesis and their Effects in the Map Plane. In: Van Schooneveld, C. (eds) Image Formation from Coherence Functions in Astronomy. Astrophysics and Space Science Library, vol 76. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9449-2_3
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DOI: https://doi.org/10.1007/978-94-009-9449-2_3
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