Abstract

Simulation of broadband far sidelobes of large submillimeter-wave telescopes exemplified by the European Space Agency Planck high-frequency instrument (HFI) beams is analyzed. Optimal sampling of the far sidelobes is considered. A universal and efficient method for computing the broadband sidelobes is proposed that makes the full-sky broadband HFI beam simulations feasible.

© 2005 Optical Society of America

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  1. J. A. Tauber, “The Planck mission: overview and current status,” Astrophys. Lett. Commun. 37, 145–150 (2000).
  2. J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
    [CrossRef]
  3. A. D. Turner, J. J. Bock, J. W. Beeman, J. Glenn, P. C. Hargrave, V. V. Hristov, H. T. Nguyen, F. Rahman, S. Sethuraman, A. L. Woodcraft, “Silicon nitride micromesh bolometer array for submillimeter astrophysics,” Appl. Opt. 40, 4921–4932 (2001).
    [CrossRef]
  4. C. A. Balanis, Antenna Theory (Harper & Row, 1982).
  5. D. Bouche, F. Molinet, R. Mittra, Asymptotic Methods in Electromagnetics (Springer, 1997).
    [CrossRef]
  6. V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, “Fast physical optics simulations of the multi-beam dual-reflector submillimeter-wave telescope on the ESA Planck Surveyor,” Int. J. Infrared Millim. Waves 22, 173–184 (2001).
    [CrossRef]
  7. T. Bondo, S. B. Sorensen, “A fast physical optics method for the analysis of beam waveguides,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 671–678.
  8. A. Boag, “A fast physical optics (FPO) algorithm for high frequency scattering,” IEEE Trans. Antennas Propag. 52, 197–204 (2004).
    [CrossRef]
  9. M. Born, F. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).
    [CrossRef]
  10. A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering (Prentice Hall, 1991).
  11. V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, “Planck HFI beam simulations for polarized and multi-moded horns,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 281–286.
  12. V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, J. Brossard, “Gaussian fitting parameters of the ESA Planck HFI beams,” Int. J. Infrared Millim. Waves 25, 601–616 (2004).
    [CrossRef]
  13. E. Gleeson, J. A. Murphy, B. Maffei, J.-M. Lamarre, R. J. Wylde, “Definition of the multi-mode horns for the HFI instrument on Planck,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 649–655.
  14. S. A. Skyttemyr, “Cross polarization in dual reflector antennas—a PO and PTD analysis,” IEEE Trans. Antennas Propag. 34, 849–853 (1986).
    [CrossRef]
  15. P. H. Pathak, “High-frequency techniques for antenna analysis,” Proc. IEEE 80, 44–65 (1992).
    [CrossRef]

2004 (2)

A. Boag, “A fast physical optics (FPO) algorithm for high frequency scattering,” IEEE Trans. Antennas Propag. 52, 197–204 (2004).
[CrossRef]

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, J. Brossard, “Gaussian fitting parameters of the ESA Planck HFI beams,” Int. J. Infrared Millim. Waves 25, 601–616 (2004).
[CrossRef]

2003 (1)

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

2001 (2)

A. D. Turner, J. J. Bock, J. W. Beeman, J. Glenn, P. C. Hargrave, V. V. Hristov, H. T. Nguyen, F. Rahman, S. Sethuraman, A. L. Woodcraft, “Silicon nitride micromesh bolometer array for submillimeter astrophysics,” Appl. Opt. 40, 4921–4932 (2001).
[CrossRef]

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, “Fast physical optics simulations of the multi-beam dual-reflector submillimeter-wave telescope on the ESA Planck Surveyor,” Int. J. Infrared Millim. Waves 22, 173–184 (2001).
[CrossRef]

2000 (1)

J. A. Tauber, “The Planck mission: overview and current status,” Astrophys. Lett. Commun. 37, 145–150 (2000).

1992 (1)

P. H. Pathak, “High-frequency techniques for antenna analysis,” Proc. IEEE 80, 44–65 (1992).
[CrossRef]

1986 (1)

S. A. Skyttemyr, “Cross polarization in dual reflector antennas—a PO and PTD analysis,” IEEE Trans. Antennas Propag. 34, 849–853 (1986).
[CrossRef]

Ade, P. A.R.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Balanis, C. A.

C. A. Balanis, Antenna Theory (Harper & Row, 1982).

Beeman, J. W.

Benoit, A.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Bernard, J. P.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Boag, A.

A. Boag, “A fast physical optics (FPO) algorithm for high frequency scattering,” IEEE Trans. Antennas Propag. 52, 197–204 (2004).
[CrossRef]

Bock, J.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Bock, J. J.

Bondo, T.

T. Bondo, S. B. Sorensen, “A fast physical optics method for the analysis of beam waveguides,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 671–678.

Born, M.

M. Born, F. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).
[CrossRef]

Bouche, D.

D. Bouche, F. Molinet, R. Mittra, Asymptotic Methods in Electromagnetics (Springer, 1997).
[CrossRef]

Bouchet, F.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Brossard, J.

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, J. Brossard, “Gaussian fitting parameters of the ESA Planck HFI beams,” Int. J. Infrared Millim. Waves 25, 601–616 (2004).
[CrossRef]

Charra, J.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Couchot, F.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

De Bernardis, P.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Delabrouille, J.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Efstathiou, G.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Giard, M.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Gleeson, E.

E. Gleeson, J. A. Murphy, B. Maffei, J.-M. Lamarre, R. J. Wylde, “Definition of the multi-mode horns for the HFI instrument on Planck,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 649–655.

Glenn, J.

Guyot, G.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Hargrave, P. C.

Hristov, V. V.

Ishimaru, A.

A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering (Prentice Hall, 1991).

Lamarre, J.-M.

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, J. Brossard, “Gaussian fitting parameters of the ESA Planck HFI beams,” Int. J. Infrared Millim. Waves 25, 601–616 (2004).
[CrossRef]

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, “Fast physical optics simulations of the multi-beam dual-reflector submillimeter-wave telescope on the ESA Planck Surveyor,” Int. J. Infrared Millim. Waves 22, 173–184 (2001).
[CrossRef]

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, “Planck HFI beam simulations for polarized and multi-moded horns,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 281–286.

E. Gleeson, J. A. Murphy, B. Maffei, J.-M. Lamarre, R. J. Wylde, “Definition of the multi-mode horns for the HFI instrument on Planck,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 649–655.

Lange, A.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Maffei, B.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

E. Gleeson, J. A. Murphy, B. Maffei, J.-M. Lamarre, R. J. Wylde, “Definition of the multi-mode horns for the HFI instrument on Planck,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 649–655.

Mittra, R.

D. Bouche, F. Molinet, R. Mittra, Asymptotic Methods in Electromagnetics (Springer, 1997).
[CrossRef]

Molinet, F.

D. Bouche, F. Molinet, R. Mittra, Asymptotic Methods in Electromagnetics (Springer, 1997).
[CrossRef]

Murphy, A.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Murphy, J. A.

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, J. Brossard, “Gaussian fitting parameters of the ESA Planck HFI beams,” Int. J. Infrared Millim. Waves 25, 601–616 (2004).
[CrossRef]

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, “Fast physical optics simulations of the multi-beam dual-reflector submillimeter-wave telescope on the ESA Planck Surveyor,” Int. J. Infrared Millim. Waves 22, 173–184 (2001).
[CrossRef]

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, “Planck HFI beam simulations for polarized and multi-moded horns,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 281–286.

E. Gleeson, J. A. Murphy, B. Maffei, J.-M. Lamarre, R. J. Wylde, “Definition of the multi-mode horns for the HFI instrument on Planck,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 649–655.

Nguyen, H. T.

Pajot, F.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Pathak, P. H.

P. H. Pathak, “High-frequency techniques for antenna analysis,” Proc. IEEE 80, 44–65 (1992).
[CrossRef]

Piat, M.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Puget, J. L.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Rahman, F.

Ristorcelli, I.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Santos, D.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Sethuraman, S.

Skyttemyr, S. A.

S. A. Skyttemyr, “Cross polarization in dual reflector antennas—a PO and PTD analysis,” IEEE Trans. Antennas Propag. 34, 849–853 (1986).
[CrossRef]

Sorensen, S. B.

T. Bondo, S. B. Sorensen, “A fast physical optics method for the analysis of beam waveguides,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 671–678.

Sudiwala, R.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Sygnet, J. F.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Tauber, J. A.

J. A. Tauber, “The Planck mission: overview and current status,” Astrophys. Lett. Commun. 37, 145–150 (2000).

Torre, J. P.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Turner, A. D.

Wolf, F.

M. Born, F. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).
[CrossRef]

Woodcraft, A. L.

Wylde, R. J.

E. Gleeson, J. A. Murphy, B. Maffei, J.-M. Lamarre, R. J. Wylde, “Definition of the multi-mode horns for the HFI instrument on Planck,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 649–655.

Yurchenko, V.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Yurchenko, V. B.

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, J. Brossard, “Gaussian fitting parameters of the ESA Planck HFI beams,” Int. J. Infrared Millim. Waves 25, 601–616 (2004).
[CrossRef]

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, “Fast physical optics simulations of the multi-beam dual-reflector submillimeter-wave telescope on the ESA Planck Surveyor,” Int. J. Infrared Millim. Waves 22, 173–184 (2001).
[CrossRef]

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, “Planck HFI beam simulations for polarized and multi-moded horns,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 281–286.

Yvon, D.

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Appl. Opt. (1)

Astrophys. Lett. Commun. (1)

J. A. Tauber, “The Planck mission: overview and current status,” Astrophys. Lett. Commun. 37, 145–150 (2000).

IEEE Trans. Antennas Propag. (2)

S. A. Skyttemyr, “Cross polarization in dual reflector antennas—a PO and PTD analysis,” IEEE Trans. Antennas Propag. 34, 849–853 (1986).
[CrossRef]

A. Boag, “A fast physical optics (FPO) algorithm for high frequency scattering,” IEEE Trans. Antennas Propag. 52, 197–204 (2004).
[CrossRef]

Int. J. Infrared Millim. Waves (2)

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, “Fast physical optics simulations of the multi-beam dual-reflector submillimeter-wave telescope on the ESA Planck Surveyor,” Int. J. Infrared Millim. Waves 22, 173–184 (2001).
[CrossRef]

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, J. Brossard, “Gaussian fitting parameters of the ESA Planck HFI beams,” Int. J. Infrared Millim. Waves 25, 601–616 (2004).
[CrossRef]

New Astron. Rev. (1)

J.-M. Lamarre, J. L. Puget, F. Bouchet, P. A.R. Ade, A. Benoit, J. P. Bernard, J. Bock, P. De Bernardis, J. Charra, F. Couchot, J. Delabrouille, G. Efstathiou, M. Giard, G. Guyot, A. Lange, B. Maffei, A. Murphy, F. Pajot, M. Piat, I. Ristorcelli, D. Santos, R. Sudiwala, J. F. Sygnet, J. P. Torre, V. Yurchenko, D. Yvon, “The Planck High Frequency Instrument, a third generation CMB experiment, and a full sky submillimeter survey,” New Astron. Rev. 47, 1017–1024 (2003).
[CrossRef]

Proc. IEEE (1)

P. H. Pathak, “High-frequency techniques for antenna analysis,” Proc. IEEE 80, 44–65 (1992).
[CrossRef]

Other (7)

E. Gleeson, J. A. Murphy, B. Maffei, J.-M. Lamarre, R. J. Wylde, “Definition of the multi-mode horns for the HFI instrument on Planck,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 649–655.

T. Bondo, S. B. Sorensen, “A fast physical optics method for the analysis of beam waveguides,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 671–678.

C. A. Balanis, Antenna Theory (Harper & Row, 1982).

D. Bouche, F. Molinet, R. Mittra, Asymptotic Methods in Electromagnetics (Springer, 1997).
[CrossRef]

M. Born, F. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).
[CrossRef]

A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering (Prentice Hall, 1991).

V. B. Yurchenko, J. A. Murphy, J.-M. Lamarre, “Planck HFI beam simulations for polarized and multi-moded horns,” in 25th ESA Antenna Workshop on Satellite Antenna Technology, K. van ’t Klooster and L. Fanchi, eds. (European Space Agency, 2002), pp. 281–286.

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Figures (10)

Fig. 1
Fig. 1

Diffraction patterns produced by an infinite slit of width 2 D illuminated by (a) a monochromatic wave ( k = 2 π λ ) and (b) incoherent light with a finite window bandwidth of Δ k k = 0.1 (solid and dashed curves are I and I A , respectively). (b) The damping of the oscillations (smearing the fringes) is clearly visible [ τ ( k ) = 1 in the spectral window and zero outside].

Fig. 2
Fig. 2

(a) Monochromatic power patterns of the model beam I 2 (dotted curve) and of the Planck HFI-143-4a beam I 0 (solid curve) with the same value of k a ( f = 143 GHz , k a = 2248 ) ; dashed curve is the approximation expression (14). (b) Broadband patterns of the model beam I 2 with the bandwidths of 30%, 20%, and 10% (thick solid, thin solid, and dashed curves, respectively) versus the monochromatic pattern at k a = 2248 (dotted curve).

Fig. 3
Fig. 3

(a) Broadband model beam I 2 (thick solid curve) and monochromatic beams at f = 121 , 143, and 165 GHz (dashed, thin solid, and dotted curves, respectively, with the 30% bandwidth) when a = 750 mm . (b) Frequency aliasing effects when the broadband sidelobes are computed with three and four fixed frequencies sampling the band in a uniform manner (dashed and dotted curves, respectively).

Fig. 4
Fig. 4

(a) Broadband model beam I 2 of 30% bandwidth computed by the θ-integration method when using only one monochromatic intensity at the central frequency f = 143 GHz ( k a = 2248 ) . (b) Accuracy of the first, second, and third versions of the method (dotted, dashed, and solid curves, respectively) compared with the exact result (crosses).

Fig. 5
Fig. 5

(a) Spectral intensities I 0 ( k , θ ) at f = 121 , 143, and 165 GHz (dashed, thin solid, and dotted curves, respectively) and the broadband Planck HFI-143-4a beam I 0 computed by summing up I 0 ( k , θ ) at nine frequencies (thick solid curve). (b) Broadband patterns computed by the direct spectral summation of I 0 ( k , θ ) when three, five, and nine frequencies (dotted, thin, and thick solid curves, respectively) are used.

Fig. 6
Fig. 6

Broadband Planck HFI-143-4a beam I 0 computed by the first, second, and third versions of the θ-integration method (dotted, dashed, and thin solid curves, respectively, which all nearly coincide) when using (a) one frequency f = 143 GHz and (b) three frequencies f = 121 , 143, and 165 GHz, in comparison with the direct spectral summation of I 0 ( k , θ ) at nine frequencies (thick solid curve).

Fig. 7
Fig. 7

Monofrequency Planck HFI-143-4a beam in the domain of angular radius θ = 2 ° ( f = 143 GHz , N f = 24 000   points ) .

Fig. 8
Fig. 8

Broadband Planck HFI-143-4a beam computed by the direct spectral summation of I 0 ( k , θ ) at nine frequencies in the band f = 121 165 GHz . False fringes arising toward the edge of the beam pattern when θ > 1 ° are due to the frequency aliasing ( N B = 216 000 ) .

Fig. 9
Fig. 9

Broadband Planck HFI-143-4a beam computed by the first version of the segmented θ-integration method using a crude polynomial interpolation over six radial nodes with extremely sparse sampling in the ring 0.4 ° θ 2.0 ° outside the main beam ( N f = n k N θ N ϕ 1050 , with N θ = 5 segments in θ, n k 7 , and N ϕ = 30 and accounting for three frequencies f = 121 , 143, 165 GHz, producing N B = 3150 ).

Fig. 10
Fig. 10

Broadband beam of a paraboloidal reflector ( Δ f f = 33 % ) computed by direct spectral summation of smooth-surface PO and PTD patterns (short- and long-dashed curves, respectively), rough-surface PTD patterns (thin solid curve) and by the third version of θ integration of a smooth-surface PTD pattern (bold solid curve), in comparison with a smooth-surface PO pattern at the central frequency f = 6 GHz ( k a = 94.25 , dotted curve).

Equations (14)

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I ( θ ) = I k ( θ ) = { sin ( k D θ ) k D θ } 2 ,
I ( θ ) = τ ( k ) I k ( θ ) d k .
I ( θ ) = τ ( k ) { sin ( k D θ ) k D θ } 2 d k ,
I ( θ ) = sin 2 ( k D θ ) { τ ( k ) ( k D θ ) 2 } d k
I ( θ ) = 0.5 { 1 cos ( 2 k D θ ) } { τ ( k ) ( k D θ ) 2 } d k .
I ( θ ) = I A ( θ ) + I B ( θ ) ,
I A ( θ ) = 0.5 τ ( k ) ( k D θ ) 2 d k ,
I B ( θ ) = 0.5 cos ( 2 k D θ ) { τ ( k ) ( k D θ ) 2 } d k .
E ap ( r ) = E 0 x ̂ ,
E ap ( r ) = E 0 J 0 ( p r ) x ̂ ,
E n ( r ) = i k a 2 r 1 E 0 F n ( β ) e i k r ( z ̂ sin θ cos ϕ x ̂ cos θ ) ,
F 1 ( β ) = J 1 ( β ) β
F 2 ( β ) = J 1 ( ξ 01 ) J 0 ( β ) ( ξ 01 2 β 2 ) .
I n ( θ ) A n ( k a ) 2 ( k a θ ) m n cos 2 ( k a θ δ n ) ,

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