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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 5, Iss. 10 — Oct. 1, 1966
  • pp: 1588–1594

The Antenna Properties of Optical Heterodyne Receivers

A. E. Siegman  »View Author Affiliations


Applied Optics, Vol. 5, Issue 10, pp. 1588-1594 (1966)
http://dx.doi.org/10.1364/AO.5.001588


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Abstract

An optical heterodyne receiver is, in effect, both a receiver and an antenna. As an antenna it has an effective aperture or capture cross section AR(Ω) for plane wave signals arriving from any direction Ω. The wavefront alignment between signal and local-oscillator (LO) beams required for effective optical heterodyning may be summarized in the “antenna theorem” A R ( Ω ) d Ω = [ η 2 ¯ / η ¯ 2 ] λ 2 where the moments of the quantum efficiency η are evaluated over the photosensitive surface. Thus, an optical heterodyne having effective aperture AR for signals arriving within a single main antenna lobe or field of view of solid angle ΩR is limited by the constraint ARΩR≈λ2. Optical elements placed in the signal and/or LO beam paths can vary the trade-off between AR and ΩR but cannot change their product. It is also noted that an optical heterodyne is an insensitive detector for thermal radiation, since a thermal source filling the receiver’s field of view must have a temperature T≈[ln (1+ η ¯)]−1hf/k to be detected with S/N≈1. Optical heterodyning can be useful in practical situations, however, for detecting Doppler shifts in coherent light scattered by liquids, gases, or small particles. Another antenna theorem applicable to this problem says that in a scattering experiment the received power will be ≲λ/4π times the transmitted power, where N is the density of scatterers and σ is the total scattering cross section of a single scatterer. The equality sign is obtained only when a single aperture serves as both transmitting and receiving aperture, or when two separate apertures are optimally focused at short range onto a common volume.

© 1966 Optical Society of America

History
Original Manuscript: March 28, 1966
Published: October 1, 1966

Citation
A. E. Siegman, "The Antenna Properties of Optical Heterodyne Receivers," Appl. Opt. 5, 1588-1594 (1966)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-5-10-1588


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References

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  19. This same point has been noted by R. E. Brooks, TRW Space Technology Labs, Redondo Beach, Calif., unpublished memorandum.
  20. Note added in proof:More recent calculations indicate that the limit seems to be given by Nσλ/4, i.e., a factor of πlarger than stated in the text. This “theorem” has yet to be proved in general, but an exact calculation for a single transmit-receive antenna with a Gaussian beam pattern leads to exactly Nσλ/4.

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