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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 67, Iss. 8 — Aug. 1, 1977
  • pp: 1091–1098

An analysis of the frequency spectrum of laser light scattered from moving rough objects

J. Carl Leader  »View Author Affiliations


JOSA, Vol. 67, Issue 8, pp. 1091-1098 (1977)
http://dx.doi.org/10.1364/JOSA.67.001091


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Abstract

The frequency spectrum of laser light scattered from moving rough objects is examined by temporally Fourier transforming the mutual coherence function describing the scattering. The motion of the object is introduced through the temporal dependence of the spatial variables of the mutual coherence function. A simple Doppler shift model is shown to provide a first approximaion to the result derived via coherence theory, for fully illuminated objects. An expression for the frequency broadening caused by the limited observation interval of a given rough-surface area is derived, and the correspondence with previous results is noted.

© 1977 Optical Society of America

Citation
J. Carl Leader, "An analysis of the frequency spectrum of laser light scattered from moving rough objects," J. Opt. Soc. Am. 67, 1091-1098 (1977)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-67-8-1091


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References

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  2. H. S. Cabuyan and R. C. Murphy, "Scattering of electromagnetic waves by rough perfectly conducting circular cylinders," IEEE Trans. Antennas Propag. AP21, 893–895 (1973).
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  7. P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Pergamon, Oxford 1963).
  8. J. C. Leader, "An analysis of the spatial coherence of laser light scattered by a surface with two scales of roughness," J. Opt. Soc. Am. 66, 536–546 (1976).
  9. J. C. Leader, "Bidirectional scattering of electromagnetic waves from rough surfaces," J. Appl. Phys. 42, 4808–4816 (1971).
  10. A. E. Siegman, "The antenna properties of optical heterodyne receivers," IEEE Proc. 54, 1350–1356 (1966).
  11. H. T. Yura, "Optical heterodyne signal power obtained from finite sized sources of radiation," Appl. Opt. 13, 150–157 (1974).
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  13. D. R. Brillinger, "Fourier analysis of stationary processes," IEEE Proc. 62, 1628–1643 (1974).
  14. A more precise statement of the restrictions imposed on the antenna dimensions is provided by the two-dimensional "map" of maximum angular frequency variations W(fx max, fy max, Δ R, τ) ∼ d2 σj(2xp max/λ, 2λp max/λ; v¯)/dxpdyp.
  15. M. C. Teich, "Infrared heterodyne detection," IEEE Proc. 56, 37–46 (1968).
  16. G. Gould, S. F. Jacobs, J. T. LaTourette, M. Newstein, and P. Rabinowtiz, "Coherent detection of light scattered from a diffusely reflecting surface," Appl. Opt. 3, 648–649 (1964).
  17. A focused laser beam diameter of 50 µm was employed in the experiments described in Ref. 15. The experimental geometry resulted in a di value [Eq. (28)] of 0.5 mm. Thus in this case, the frequency broadening was primarily caused by the limited observation interval.
  18. J. C. Leader, "Hemispherical scattering of electromagnetic waves from rough surfaces," J. Opt. Soc. Am. 62, 1356 (1972). Also, McDonnell Aircraft Paper No. MCAIR-72-037.

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