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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 65, Iss. 1 — Jan. 1, 1975
  • pp: 65–68

Point-ahead limitation on reciprocity tracking

Jeffrey H. Shapiro  »View Author Affiliations


JOSA, Vol. 65, Issue 1, pp. 65-68 (1975)
http://dx.doi.org/10.1364/JOSA.65.000065


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Abstract

The average power received at a space craft from a reciprocity-tracking transmitter is shown to be the free-space diffraction-limited result times a gain-reduction factor that is due to the point-ahead requirement. For a constant-power transmitter, the gain-reduction factor is approximately equal to the appropriate spherical-wave mutual-coherence function. For a constant-average-power transmitter, an exact expression is obtained for the gain-reduction factor.

Citation
Jeffrey H. Shapiro, "Point-ahead limitation on reciprocity tracking," J. Opt. Soc. Am. 65, 65-68 (1975)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-65-1-65


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References

  1. J. H. Shapiro, IEEE Trans. COM19, 410 (1971).
  2. D. L. Fried and H. T. Yura, J. Opt. Soc. Am. 62, 600 (1972).
  3. J. H. Shapiro, J. Opt. Soc. Am. 61, 492 (1971).
  4. R. F. Lutomirski and H. T. Yura, Appl. Opt. 10, 1652 (1971).
  5. P. J. Titterton, J. Opt. Soc. Am. 63, 439 (1973).
  6. H. T. Yura, Appl. Opt. 11, 1399 (1972).
  7. J. H. Shapiro, Appl. Opt. 13, 2614 (1974).
  8. In terms of the appropriate vector space of functions, what we are assuming is that |ā-b¯| is small enough to ensure that |ā·b¯|2/|ā|2|b¯|2≈1- |ā-b¯|2/2|b¯|2.
  9. R. A. Schmeltzer, Q. Appl. Math. 24, 339 (1967).
  10. D. Korff, J. Opt. Soc. Am. 63, 971 (1973).
  11. V. A. Banakh, G. M. Krekov, V. L. Mironov, S. S. Khmelevtsov, and R. Sh. Tsvik, J. Opt. Soc. Am. 64, 516 (1974).
  12. This implies that the 〈Pr〉/Pt curve shown in Fig. 2 lies below the true result when d1 is less than the phase–coherence length.

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