Measurement of Directional Wave Spectra Using Aircraft Laser Altimeters

J. Sun National Center for Atmospheric Research, Boulder, Colorado

Search for other papers by J. Sun in
Current site
Google Scholar
PubMed
Close
,
S. P. Burns National Center for Atmospheric Research, Boulder, Colorado

Search for other papers by S. P. Burns in
Current site
Google Scholar
PubMed
Close
,
D. Vandemark NASA Goddard Space Flight Center, Wallops Island, Virginia

Search for other papers by D. Vandemark in
Current site
Google Scholar
PubMed
Close
,
M. A. Donelan RSMAS/Applied Marine Physics, University of Miami, Miami, Florida

Search for other papers by M. A. Donelan in
Current site
Google Scholar
PubMed
Close
,
L. Mahrt College of Oceanic and Atmospheric Sciences, Oregon State University, Corvallis, Oregon

Search for other papers by L. Mahrt in
Current site
Google Scholar
PubMed
Close
,
Timothy L. Crawford NOAA/ARL/Field Research Division, Idaho Falls, Idaho

Search for other papers by Timothy L. Crawford in
Current site
Google Scholar
PubMed
Close
,
T. H. C. Herbers *Department of Oceanography, Naval Postgraduate School, Monterey, California

Search for other papers by T. H. C. Herbers in
Current site
Google Scholar
PubMed
Close
,
G. H. Crescenti FLP Energy, Juno Beach, Florida

Search for other papers by G. H. Crescenti in
Current site
Google Scholar
PubMed
Close
, and
J. R. French National Oceanic and Atmospheric Administration, Oak Ridge, Tennessee

Search for other papers by J. R. French in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

A remote sensing method to measure directional oceanic surface waves by three laser altimeters on the NOAA LongEZ aircraft is investigated. To examine feasibility and sensitivity of the wavelet analysis method to various waves, aircraft motions, and aircraft flight directions relative to wave propagation directions, idealized surface waves are simulated from various idealized aircraft flights. In addition, the wavelet analysis method is also applied to two cases from field measurements, and the results are compared with traditional wave spectra from buoys. Since the wavelet analysis method relies on the “wave slopes” measured through phase differences between the time series of the laser distances between the aircraft and sea surface at spatially separated locations, the resolved directional wavenumber and wave propagation direction are not affected by aircraft motions if the resolved frequencies of the aircraft motion and the wave are not the same. However, the encounter wave frequency, which is directly resolved using the laser measurement from the moving aircraft, is affected by the Doppler shift due to aircraft motion relative to wave propagations. The wavelet analysis method could fail if the aircraft flies in the direction such that the aircraft speed along the wave propagation direction is the same as the wave phase speed (i.e., the aircraft flies along wave crests or troughs) or if two waves with different wavelengths and phase speed have the same encountered wavelength from the aircraft. In addition, the data noise due to laser measurement uncertainty or natural isotropic surface elevation perturbations can also affect the relative phase difference between the laser distance measurements, which in turn affects the accuracy of the resolved wavenumber and wave propagation direction. The smallest waves measured by the lasers depend on laser sampling rate and horizontal distances between the lasers (for the LongEZ this is 2 m). The resolved wave direction and wavenumber at the peak wave from the two field experiments compared well with on-site buoy observations. Overall, the study demonstrates that three spatially separated laser altimeters on moving platforms can be utilized to resolve two-dimensional wave spectra.

@@ Deceased

Corresponding author address: Dr. Jielun Sun, NCAR/MMM, P.O. Box 3000, 3450 Mitchell Lane, Boulder, CO 80307-3000. Email: jsun@ucar.edu

Abstract

A remote sensing method to measure directional oceanic surface waves by three laser altimeters on the NOAA LongEZ aircraft is investigated. To examine feasibility and sensitivity of the wavelet analysis method to various waves, aircraft motions, and aircraft flight directions relative to wave propagation directions, idealized surface waves are simulated from various idealized aircraft flights. In addition, the wavelet analysis method is also applied to two cases from field measurements, and the results are compared with traditional wave spectra from buoys. Since the wavelet analysis method relies on the “wave slopes” measured through phase differences between the time series of the laser distances between the aircraft and sea surface at spatially separated locations, the resolved directional wavenumber and wave propagation direction are not affected by aircraft motions if the resolved frequencies of the aircraft motion and the wave are not the same. However, the encounter wave frequency, which is directly resolved using the laser measurement from the moving aircraft, is affected by the Doppler shift due to aircraft motion relative to wave propagations. The wavelet analysis method could fail if the aircraft flies in the direction such that the aircraft speed along the wave propagation direction is the same as the wave phase speed (i.e., the aircraft flies along wave crests or troughs) or if two waves with different wavelengths and phase speed have the same encountered wavelength from the aircraft. In addition, the data noise due to laser measurement uncertainty or natural isotropic surface elevation perturbations can also affect the relative phase difference between the laser distance measurements, which in turn affects the accuracy of the resolved wavenumber and wave propagation direction. The smallest waves measured by the lasers depend on laser sampling rate and horizontal distances between the lasers (for the LongEZ this is 2 m). The resolved wave direction and wavenumber at the peak wave from the two field experiments compared well with on-site buoy observations. Overall, the study demonstrates that three spatially separated laser altimeters on moving platforms can be utilized to resolve two-dimensional wave spectra.

@@ Deceased

Corresponding author address: Dr. Jielun Sun, NCAR/MMM, P.O. Box 3000, 3450 Mitchell Lane, Boulder, CO 80307-3000. Email: jsun@ucar.edu

Save
  • Banner, M. L., Chen W. , Walsh E. J. , Jensen J. B. , Lee S. , and Fandry C. , 1999: The Southern Ocean Waves Experiment. Part I: Overview and mean results. J. Phys. Oceanogr., 29 , 21302145.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Beal, R. C., Gerling T. W. , Irvine D. E. , Monaldo F. M. , and Tilley D. G. , 1986: Spatial variations of ocean wave directional spectra for the SEASAT synthetic aperture radar. J. Geophys. Res., 91 , 24332449.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Brooks, S. B., Crawford T. L. , and Oechel W. C. , 1997: Measurements of carbon dioxide emissions plumes from Prudhoe Bay, Alaska oil fields. J. Atmos. Chem., 27 , 197207.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Capon, J., 1969: High-resolution frequency–wavenumber spectrum analysis. Proc. IEEE, 57 , 14081419.

  • Chen, W., Banner M. L. , Walsh E. J. , Jensen J. B. , and Lee S. , 2001: The Southern Ocean Waves Experiment. Part II: Sea-surface response to wind speed and wind stress variations. J. Phys. Oceanogr., 31 , 174198.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Cox, C., and Munk W. , 1954: Statistics of the sea surface derived from sun glitter. J. Mar. Res., 13 , 198227.

  • Crawford, T. L., and Dobosy R. J. , 1992: A sensitive fast-response probe to measure turbulence and heat flux from any airplane. Bound.-Layer Meteor., 59 , 257278.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Crawford, T. L., and Dobosy R. J. , 1997: Pieces to a puzzle: Air–surface exchange and climate. GPS World, 8 , 3239.

  • Crawford, T. L., McMillen R. T. , Meyers T. P. , and Hicks B. B. , 1993: Spatial and temporal variability of heat, water vapor, carbon dioxide, and momentum air–sea exchange in a coastal environment. J. Geophys. Res., 98 , 1286912880.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Crawford, T. L., Crescenti G. H. , and Hacker J. M. , 2001: Small environmental research aircraft: The future of airborne geoscience. Preprints, 11th Symp. on Meteorological Observations and Instrumentation, Albuquerque, NM, Amer. Meteor. Soc., 117–122.

  • Crescenti, G. H., Crawford T. L. , and Dumas E. J. , 1999: Data report: LongEZ (N3R) participation in the 1999 Shoaling Waves Experiment (SHOWEX) pilot study. NOAA Tech. Memo. ERL ARL-232, Silver Spring, MD, 86 pp.

  • Crescenti, G. H., French J. R. , and Crawford T. L. , 2001: Aircraft measurements in the Coupled Boundary Layers Air–Sea Transfer (CBLAST) light wind pilot field study. NOAA Tech. Memo. OAR ARL-241, Silver Spring, MD, 82 pp.

  • Crescenti, G. H., French J. R. , Crawford T. L. , and Vandemark D. C. , 2002: An integrated airborne measurement system for the determination of atmospheric turbulence and ocean surface wave field properties. Preprints, Sixth Symp. on Integrated Observing Systems, Orlando, FL, Amer. Meteor. Soc., 60–67.

  • Davis, R. E., and Regier L. A. , 1977: Methods for estimating directional wave spectra from multielement arrays. J. Mar. Res., 35 , 453477.

    • Search Google Scholar
    • Export Citation
  • Dobosy, R. J., Crawford T. L. , MacPherson J. I. , Desjardins R. L. , Kelly R. D. , Oncley S. P. , and Lenschow D. H. , 1997: Intercomparison among four flux aircraft at BOREAS in 1994. J. Geophys. Res., 102 , 2910129111.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Donelan, M. A., Drennan W. M. , and Magnusson A. K. , 1996: Nonstationary analysis of the directional properties of propagating waves. J. Phys. Oceanogr., 26 , 19011914.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Eckman, R. M., Crawford T. L. , Dumas E. J. , and Birdwell K. R. , 1999: Airborne meteorological measurements collected during the Model Validation Program (MVP) field experiments at Cape Canaveral, Florida. NOAA Tech. Memo. OAR ATDD-233, Silver Spring, MD, 54 pp.

  • Farge, M., 1992: Wavelet transforms and their applications to turbulence. Annu. Rev. Fluid Mech., 24 , 395457.

  • Frasier, S. J., Liu Y. , Moller D. , McIntosh R. E. , and Long C. , 1995: Directional ocean wave measurements in a coastal setting using a focused array imaging radar. IEEE Trans. Geosci. Remote Sens., 33 , 428440.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • French, J. R., Crescenti G. H. , Crawford T. L. , and Dumas E. J. , 2000: LongEZ (N3R) participation in the 1999 Shoaling Waves Experiment (SHOWEX). NOAA Data Rep. OAR ARL-20, Silver Spring, MD, 51 pp.

  • Hacker, J. M., and Crawford T. L. , 1999: The BAT-probe: The ultimate tool to measure turbulence from any kind of aircraft (or sailplane). Tech. Soaring XXIII, 2 , 4346.

    • Search Google Scholar
    • Export Citation
  • Hall, E., Vandemark D. , Long S. , and Tran N. , 2000: Laboratory tests of Riegl infrared laser distance sensors: Range stability and water reflection characteristics. National Space Club Scholar Summer Intern Project, July 2000, NASA Goddard Space Flight Center, Wallops Flight Facility, Wallops Island, VA, 35 pp. [Available online at http://rows.wff.nasa.gov/riegl_tests.wff2000.pdf].

  • Hasselmann, D. E., Dunckel M. , and Ewing J. A. , 1980: Directional wave spectra observed during JONSWAP 1973. J. Phys. Oceanogr., 10 , 12641280.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Herbers, T. H. C., and Guza R. T. , 1990: Estimation of directional wave spectra from multicomponent observations. J. Phys. Oceanogr., 20 , 17031724.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Howell, J. F., and Mahrt L. , 1997: Multiresolution flux decomposition. Bound.-Layer Meteor., 83 , 117137.

  • Huang, N. E., Toba Y. , Shen Z. , Klinke J. , Jahne B. , and Banner M. L. , 2001: Ocean wave spectra and integral properties. Wind Stress over the Ocean, I. S. Jones and Y. Toba, Eds., Cambridge University Press, 82–123.

    • Search Google Scholar
    • Export Citation
  • Hwang, P. A., 1995: Spatial measurements of small-scale ocean waves. Air–Water Gas Transfer: Selected Papers from the Third International Symposium on Air–Water Gas Transfer, B. Jahne and E. C. Monahan, Eds., AEON Verlag & Studio, 153–164.

    • Search Google Scholar
    • Export Citation
  • Hwang, P. A., Krabill W. B. , Wright W. , Swift R. N. , and Walsh E. J. , 2000a: Airborne scanning lidar measurement of ocean waves. J. Remote Sens. Environ., 73 , 236246.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Hwang, P. A., Wang D. W. , Walsh E. J. , Krabill W. B. , and Swift R. N. , 2000b: Airborne measurements of the wavenumber spectra of ocean surface waves. Part I: Spectral slope and dimensionless spectral coefficient. J. Phys. Oceanogr., 30 , 27532767.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Hwang, P. A., Wang D. W. , Walsh E. J. , Krabill W. B. , and Swift R. N. , 2000c: Airborne measurements of the wavenumber spectra of ocean surface waves. Part II: Directional distribution. J. Phys. Oceanogr., 30 , 27682787.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Kitaigordskii, S. A., Krasitskii V. P. , and Zaslavskii M. M. , 1975: On Phillips’ theory of equilibrium range in the spectra of wind-generated gravity waves. J. Phys. Oceanogr., 5 , 410420.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Krogstad, H. E., Gordon R. L. , and Miller M. C. , 1988: High-resolution directional wave spectra from horizontally mounted acoustic Doppler current meters. J. Atmos. Oceanic Technol., 5 , 340352.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Kumar, P., and Foufoula-Georgiou E. , 1994: Wavelet analysis in geophysics: An introduction. Wavelets in Geophysics, E. Foufoula-Georgiou and P. Kumar, Eds., Academic Press, 1–43.

    • Search Google Scholar
    • Export Citation
  • Liu, P. C., 2000a: Is the wind wave frequency spectrum outdated. Ocean Eng., 27 , 577588.

  • Liu, P. C., 2000b: Wave grouping characteristics in nearshore Great Lakes. Ocean Eng., 27 , 12211230.

  • Long, R. B., 1980: Statistical evaluation of directional spectrum estimates derived from pitch/roll buoy data. J. Phys. Oceanogr., 10 , 944952.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Long, R. B., and Hasselmann K. , 1979: Variational technique for extracting directional spectra from multicomponent wave data. J. Phys. Oceanogr., 9 , 373381.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Longuet-Higgins, M. S., Cartwright D. E. , and Smith N. D. , 1963: Observations of the directional spectrum of sea waves using the motions of a floating buoy. Ocean Wave Spectra; Proceedings of a Conference, Prentice-Hall, 111–136.

    • Search Google Scholar
    • Export Citation
  • Lygre, A., and Krogstad H. E. , 1986: Maximum entropy estimation of the directional distribution in ocean wave spectra. J. Phys. Oceanogr., 16 , 20522060.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • MacPherson, J. I., Dobosy R. , Verma S. , Kustas W. P. , Prueger J. H. , and Williams A. , 1999: Intercomparisons between flux aircraft and towers in SGP97. Preprints, 14th Conf. on Hydrology, Dallas, TX, Amer. Meteor. Soc., 125–128.

  • Mourad, P. D., Thompson D. R. , and Vandemark D. C. , 2000: Extracting fine-scale winds from synthetic aperture radar images of the ocean surface. Johns Hopkins APL Tech. Digest, 21 , 108115.

    • Search Google Scholar
    • Export Citation
  • Oltman-Shay, J., and Guza R. T. , 1984: A data-adaptive ocean wave directional-spectrum estimator for pitch and roll type measurements. J. Phys. Oceanogr., 14 , 18001810.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Pawka, S. S., 1983: Island shadows in wave directional spectra. J. Geophys. Res., 88 , 25792591.

  • Sun, J., Vandemark D. , Mahrt L. , Vicker D. , Crawford T. , and Vogel C. , 2001: Momentum transfer over the coastal zone. J. Geophys. Res., 106 , 1243712448.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Torrence, C., and Compo G. P. , 1998: A practical guide to wavelet analysis. Bull. Amer. Meteor. Soc., 79 , 6178.

  • Trevorrow, M. V., and Booth I. J. , 1995: Extraction of ocean wave directional spectra using steerable Doppler side-scan sonars. J. Atmos. Oceanic Technol., 12 , 10871100.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Vandemark, D., Mourad P. D. , Crawford T. L. , Vogel C. A. , Sun J. , Bailey S. A. , and Chapron B. , 2001: Measured changes in ocean surface roughness due to atmospheric boundary layer rolls. J. Geophys. Res., 106 , 46394654.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Vogel, C. A., and Crawford T. L. , 1999: Exchange measurements above the air–sea interface using an aircraft. Air–Sea Exchange: Physics, Chemistry and Dynamics, G. L. Geernaert, Ed., Kluwer Academic, 231–245.

    • Search Google Scholar
    • Export Citation
  • Walsh, E. J., Hancock D. W. , Hines D. E. , Swift R. N. , and Scott J. F. , 1985: Directional wave spectra measured with surface contour radar. J. Phys. Oceanogr., 15 , 566592.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Walsh, E. J., Hancock D. W. III, Hines D. E. , Swift R. N. , and Scott J. F. , 1989: An observation of the directional wave spectrum evolution from shoreline to fully developed. J. Phys. Oceanogr., 19 , 670690.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Wyatt, L. R., 1995: The effect of fetch on the directional spectrum of Celtic Sea storm waves. J. Phys. Oceanogr., 25 , 15501559.

    • Crossref
    • Search Google Scholar
    • Export Citation
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 261 129 4
PDF Downloads 115 54 1