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Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 348))

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Abstract

In Chapter 3 we discussed the mathematical description of the radiation characteristics of the reflector antenna, and we treated the influence of aberrations (defocus situations) and other errors in Ch. 4. In radio astronomy the purpose of the telescope, the reflector antenna in our discussion, is to collect radiation from the celestial source as a function of position on the sky, frequency, polarisation and sometimes time. In order to draw conclusions about the source of radiation, we need to establish the relationship between the parameters describing the physical processes in the source and those of the receiving antenna. Thus we must develop a mathematical formulation for the interaction between the transmitting cosmic radio source (or satellite, etc) and the receiving radio telescope, the reflector antenna discussed sofar. As we have seen earlier, the characteristics of the latter are described by the spatial radiation characteristic, which we have called the antenna pattern. By virtue of the reciprocity theorem the pattern of a transmitting antenna is identical to that of a receiving antenna. (Silver, Ch. 2.13, 1949). We have already introduced terms like main beam and sidelobes of the antenna pattern.

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References

  • Abramowitz, M. and I.A. Stegun, Handbook of Mathematical Functions, Nat. Bureau of Standards, 1964.

    Google Scholar 

  • Baars, J.W.M., The Measurement of large Antennas with cosmic Radio Sources, IEEE Trans. Antennas Propagat. AP-21, 461–474, 1973 [Gold, 171].

    Article  ADS  Google Scholar 

  • Baars, J.W.M., J.F. van der Brugge, J.L. Casse, J.P. Hamaker, L.H. Sondaar, J.J. Visser and K.J. Wellington, The Synthesis Radio Telescope at Westerbork. Proc IEEE 61, 1258–1266, 1973 [Gold, 116].

    Article  ADS  Google Scholar 

  • Baars, J.W.M., R. Genzel, I.I.K. Pauliny-Toth and A. Witzel, The Absolute Spectrum of Cas A; An accurate flux density scale and a set of secondary calibrators. Astron. Astrophys. 61, 99–106, 1977 [Gold, 401].

    ADS  Google Scholar 

  • Bracewell, R., The Fourier Transform and its Applications, New York, McGraw-Hill, 1965.

    MATH  Google Scholar 

  • Findlay, J.W., H. Hvatum and W. B., Waltman, An absolute flux density measure-ment of Cassiopeia A at 1440 MHz. Asrophys. J. 141, 873–884, 1965.

    Article  ADS  Google Scholar 

  • Findlay, J.W., Absolute Intensity Calibrations in Radio Astronomy, Ann. Rev. Astron. Astrophys. 4, 77–94, 1966.

    Article  ADS  Google Scholar 

  • Gibson, J., W.J. Welch and Imke de Pater, Accurate jovian radio flux density measurements show ammonia to be subsaturated in the upper troposphere, Icarus 173, 439–446, 2005.

    Article  ADS  Google Scholar 

  • Gordon, M.A., J.W.M. Baars and J. Cocke, Observations of radio lines from unresolved sources: telescope coupling, Doppler effects and cosmological corrections, Astron. Astrophys. 264, 337–344, 1992.

    ADS  Google Scholar 

  • Greve, A., C. Kramer and W. Wild, The beam pattern of the IRAM 30-m telescope, Astron. Astrophys. Sup. 133, 271–284, 1998.

    Article  ADS  Google Scholar 

  • Ivanov, V.P. and O.I. Sharova, Reference spectra in the ‘artificial-moon’ scale and cosmological studies of radio sources, Radiophys. and Quantum Electr. 45, 91–101, 2002.

    Article  Google Scholar 

  • Kraus, J.D., Radio Astronomy, New York, McGraw-Hill, 1966.

    Google Scholar 

  • Kutner, M.L. and B.L. Ulich, Recommendations for calibration of millimeter-wave-length spectra line data, Astrophys. J. 250, 341–348, 1981 [Gold, 423].

    Article  ADS  Google Scholar 

  • Mangum, J.G., Main-Beam Efficiency Measurements of the Caltech Submillimeter Observatory, Publ. Astron. Soc. Pacific 105, 117–122, 1993.

    Article  ADS  Google Scholar 

  • Mangum, J.G., J.W.M. Baars, A. Greve, R. Lucas, R.C. Snel, P. Wallace and M. Holdaway, Evaluation of the ALMA Prototype Antennas, Proc. Astron. Soc. Pacific 118, 1257–1301, 2006.

    Article  ADS  Google Scholar 

  • Nyquist, H., Thermal agitation of electric charge in conductors, Phys. Rev. 32, 110–113, 1928.

    Article  ADS  Google Scholar 

  • Parker, E.A., Precise measurement of the flux densities of the radio sources Cas A and Cyg A at metre wavelengths, Monthly Notices Roy. Astron. Soc. 138, 407–422, 1968

    ADS  Google Scholar 

  • Ruze, J., The effect of aperture errors on the antenna radiation pattern, Suppl. al Nouvo Cimento 9, 364–380, 1952.

    Article  Google Scholar 

  • Ruze, J., Antenna tolerance theory, Proc. IEEE 54, 633–640, 1966 [Gold, 185].

    Article  Google Scholar 

  • Schelkunoff, S.A., Electromagnetic Waves, 363–365, New York, van Nostrand, 1943.

    Google Scholar 

  • Smart, W.M., Spherical Astronomy, Cambridge, University Press, 1962.

    Google Scholar 

  • Stumpff, K., Geographische Ortsbestimmungen, 35, Berlin, VEB Deutscher Verlag de Wissenschaften, 1955.

    Google Scholar 

  • Stumpff, P., Astronomische Pointingtheorie für Radioteleskope, Kleinheubacher Berichte 15, 431–437, 1972.

    Google Scholar 

  • Troitskii, V.S. and N.M. Tseitlin, Application of Radio-astronomical Method for Calibrating small Antenna Systems at centimeter Wavelengths (in Russian), Radiofysika 5, 623–628, 1962.

    Google Scholar 

  • Thompson, A.R., J.M. Moran and G.W. Swenson, Interferometry and Synthesis in Radio Astronomy, 2nd Ed., New York, John Wiley, 2001.

    Book  Google Scholar 

  • Ulich, B.L., Millimeter-wavelength continuum calibration sources, Astron.J. 86, 1619–1626, 1981.

    Article  ADS  Google Scholar 

  • Ulich, B.L. and R.W. Haas, Absolute Calibration of Millimeter-wavelength spectral Lines, Astrophys. J. Suppl. 30, 247–258, 1976.

    Article  ADS  Google Scholar 

  • Ulich, B.L., J.H. Davis, P.J. Rhodes and J.M. Hollis, Absolute Brightness Temperature Measurements at 3.5-mm Wavelength, IEEE Trans. Antennas Propagat. AP-28, 367–377, 1980 [Gold, 413].

    Article  ADS  Google Scholar 

  • Wallace, P.T., Pointing and tracking software for the Gemini 8-m telescopes, Proc. SPIE 2871, 1020, 1997.

    Article  ADS  Google Scholar 

  • Wallace, P.T., A rigorous algorithm for telescope pointing, Proc. SPIE 4848, 125, 2002.

    Article  ADS  Google Scholar 

  • Welch, W. J. et 36 alii, The Berkeley-Illinois-Maryland-Association Millimeter Array, Publ. Astron. Soc. Pacific 108, 93–103, 1996.

    Article  ADS  Google Scholar 

  • Wyllie, D.V., Absolute flux density scale at 408 MHz, Monthly Notices Roy. Astron. Soc. 142, 229–240, 1969.

    ADS  Google Scholar 

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Baars, J.W. (2007). Measurement of antenna parameters. In: The Paraboloidal Reflector Antenna in Radio Astronomy and Communication. Astrophysics and Space Science Library, vol 348. Springer, New York, NY. https://doi.org/10.1007/978-0-387-69734-5_5

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