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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)

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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.

Jeffrey H. Shapiro, "Point-ahead limitation on reciprocity tracking," J. Opt. Soc. Am. 65, 65-68 (1975)

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  1. J. H. Shapiro, IEEE Trans. COM19, 410 (1971).
  2. D. L. Fried and H. T. Yura, J. Opt. Soc. Am. 62, 600 (1972).
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  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.
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  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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