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Applied Optics

Applied Optics


  • Vol. 24, Iss. 24 — Dec. 15, 1985
  • pp: 4516–4524

Phase difference power spectra in atmospheric propagation through rain at 10.6 μm

R. L. Schwiesow, R. E. Cupp, and S. F. Clifford  »View Author Affiliations

Applied Optics, Vol. 24, Issue 24, pp. 4516-4524 (1985)

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The power spectrum of the phase difference fluctuations between two IR beams propagating side by side is strongly influence by rain along the path. According to our measurements over a 1.37-km path in convective rainfall averaging 18 mm/h, the power spectrum of phase difference fluctuations in rain extends over the 300-Hz to 2-kHz band, and it is as much as 18 dB above the no-rain spectrum at ~600 Hz during periods of heavier rain (>30 mm/h). The shape of the spectrum is different at different stages of the storm probably because of changing drop size distributions. A simple dimensionless parameter derived from the power spectrum of phase difference fluctuations is 0.186 ± 20% for a rain rate of 41 (mm/h) km ± 25%, but this value may depend on the chopped transmitter waveform. The simple optical design and data analysis procedure allow power spectra to be obtained from a single signal channel. We conclude that measurement of phase difference fluctuations in 10.6-μm propagation should allow the path-averaged rainfall rate to be inferred over path lengths of at least 1.5 km if a properly calibrated system is used.

© 1985 Optical Society of America

Original Manuscript: January 12, 1985
Published: December 15, 1985

R. L. Schwiesow, R. E. Cupp, and S. F. Clifford, "Phase difference power spectra in atmospheric propagation through rain at 10.6 μm," Appl. Opt. 24, 4516-4524 (1985)

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  1. S. F. Clifford, G. M. B. Bouricius, G. R. Ochs, M. H. Ackley, “Phase Variations in Atmospheric Optical Propagation,” J. Opt. Soc. Am. 61, 1279 (1971). [CrossRef]
  2. V. I. Tatarskii, The Effects of the Turbulent Atmosphere on Wave Propagation, J. W. Strohbehn, Ed. (Israel Program for Scientific Translations, Jerusalem, 1971), available from NTIS.
  3. G. K. Born, R. Bogenberger, K. D. Erben, F. Frank, F. Mohr, G. Sepp, “Phase-Front Distortion of Laser Radiation in a Turbulent Atmosphere,” Appl. Opt. 14, 2857 (1975). [CrossRef] [PubMed]
  4. R. L. Schwiesow, R. F. Calfee, “Atmospheric Refractive Effects on Coherent Lidar Performance at 10.6 μm,” Appl. Opt. 18, 3911 (1979). [CrossRef] [PubMed]
  5. H. T. Yura, K. G. Barthel, W. Büchtemann, “Rainfall Induced Optical Phase Fluctuations in the Atmosphere,” J. Opt. Soc. Am. 73, 1574 (1983). [CrossRef]
  6. T.-i. Wang, G. Lerfald, R. S. Lawrence, S. F. Clifford, “Measurement of Rain Parameters by Optical Scintillation,” Appl. Opt. 16, 2236 (1977). [CrossRef] [PubMed]
  7. T.-i. Wang, R. S. Lawrence, M. K. Tsay, “Optical Rain Gauge Using a Divergent Beam,” Appl. Opt. 19, 3617 (1980). [CrossRef] [PubMed]
  8. G. M. B. Bouricius, S. F. Clifford, “An Optical Interferometer Using Polarization Coding to Obtain Quadrature Phase Components,” Rev. Sci. Instrum. 41, 1800 (1970). [CrossRef]
  9. T.-i. Wang, G. R. Ochs, S. F. Clifford, “A Saturation-Resistant Optical Scintillometer to Measure Cn2,” J. Opt. Soc. Am. 68, 334 (1978). [CrossRef]
  10. K. Barthel, “Experimental Investigation of Aperture Limitations of a Heterodyne CO2 Laser Radar by Atmospheric Turbulence and Rain,” in Technical Digest, Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1982), paper FV3.
  11. T.-i. Wang, S. F. Clifford, “Use of Rainfall-Induced Optical Scintillations to Measure Path-Averaged Rain Parameters,” J. Opt. Soc. Am. 65, 927 (1975). [CrossRef]
  12. L. G. Kazovsky, “Particle Analysis Using Forward Scattering Data,” Appl. Opt. 23, 448 (1984). [CrossRef] [PubMed]
  13. V. Chimelis, “Extinction of CO2 Laser Radiation by Fog and Rain,” Appl. Opt. 21, 3367 (1982). [CrossRef] [PubMed]

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