Interpretation and Utilization of the Echo

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Interpretation and Utilization of the Echo PROCEEDINGS OF THE IEEE, VOL. 62, NO. 6, JUNE 1974 673 Sea Backscatter at HF: Interpretation and Utilization of the Echo DONALD E. BARRICK, MEMBER, IEEE, JAMES M. HEADRICK, SENIOR MEMBER, IEEE, ROBERT W. BOGLE, DOUGLASS D. CROMBIE AND Abstract-Theories and concepts for utilization of HF sea echo are compared and tested against surface-wave measurements made from San Clemente Island in the Pacific in a joint NRL/ITS/NOAA Although the heights of ocean waves are generally small experiment. The use of first-order sea echo as a reference target for in terms of these radar wavelengths, the scattered echo is calibration of HF over-the-horizon radars is established. Features of the higher order Doppler spectrum can be employed to deduce the nonetheless surprisingly large and readily interpretable in principal parameters of the wave-height directional. spectrum (i.e., terms of its Doppler features. The fact that these heights are sea state); and it is shown that significant wave height can be read small facilitates the analysis of scatter using the perturbation from the spectral records. Finally, it is shown that surface currents approximation. This theory [2] produces an equation which and current (depth) gradients can be inferred from the same Doppler 1) agrees with the scattering mechanism deduced by Crombie sea-echo records. from experimental data; 2) properly predicts the positions of I. INTRODUCTION the dominant Doppler peaks; 3) shows how the dominant echo magnitude is related to the sea wave height; and 4) per­ mits an explanation of some of the less dominant, more com­ T WENTY YEARS ago Crombie [1] observed sea echo plex features of the sea echo through retention and use of the with an HF radar, and he correctly deduced the scatter­ higher order terms in the perturbation analysis. Hence the ing mechanism which accounted for the peculiar and dominant spectral features explained by the simple, lowest unique dominant peaks in the observed Doppler spectrum. order terms of the perturbation analysis are referred to as This gave rise to further research and suggested the exciting "first-order" sea echo, while the remaining, less dominant fea­ possibility of measuring sea state at great distances with HF tures are termed "higher order" because they arise from the sky-wave radars. A current joint program involving NOAA, smaller (i.e., second-order, third-order, etc.) terms. NRL, and ITS on San Clemente Island has provided data for By way of introduction to the basic type of HF echo testing three possible applications of HF sea echo: 1) as a records upon which the discussion in this paper is based, we standard or reference target for calibrating the sensitivity show a typical received Doppler spectrum in Fig. 1. This plot of sky-wave radars; 2) as a means of deducing sea state (viz., represents the received signal power versus normalized Dop­ the dominant features of the wave-height directional spec­ pler shift± from the carrier (the carrier being located at zero, trum); and 3) as a method for measuring surface-current and the predicted positions of the dominant peaks at posi­ features. HF, as considered here, extends from the broadcast tions 1). Details of the conditions and system behind this band to VHF, including radar wavelengths between 10 and spectral record will be discussed later, but for now we refer 200 m. to it to illustrate how the three previously+1) claimed applica­ tions will be subsequently developed from data such as these. Manuscript received September 12, 1973; revised January 21, 1974. D. E. Barrick is with the Wave Propagation Laboratory, National 1) The dominant, first-order peak (near will be tested for Oceanic and Atmospheric Administration, Boulder, Colo.80302. use as a standard or reference echo. 2) The higher order J. M. Headrick and R. W. Bogle are with the Naval Research Lab­ oratory, Washington, D. C. 20375. Doppler features (i.e., their shapes, peak positions, and am­ D. D. Crombie is with the Institute for Telecommunication Sciences, plitudes) will be used to deduce sea state. 3) The overall shift Boulder, Colo.80302. of the first-order echo peaks from ± 1 will be used to deduce 614 PROCEEDINGS OF THE IEEE, JUNE 1974 :p--qqFirst-order sea echo 4 Fig. 2. Buoy-measured nondirectional wave-height spectra for morning (dashed) and afternoon (solid)of December 4, 1972. Triangle is model used in theoryto approximate afternoon spectrum. tional to the heightof this wave component squared. Hence it 0-21 -I 0 I 2 is evident that measurement of the first-order radar cross Normalized Doppler Frequency section of the seaversus radar operating frequencywill deter- . Example of an averaged radar sea-echo Doppler epectrum at 9.4 mine thewater-wave spectrum along theradar azimuthal MHz. Carrierwould appear at center,with *1 corresponding to bearing. By looking along several bearings, one can thereby Doppler shifts k0.313 Hz from the carrier. Resolution is 4.01 Hz. construct the “wave-height directional spectrum,”a quantity which has heretofore defied simple measurement by oceanog- (radial) currents. Since the radar echo is produced by scatter raphers. However, the radar frequency region corresponding from ocean waves, the approach taken in this paper is to re- to the importantlong-wave portion of the gravity-wave spec- late the echo features to surface features. Ocean waves and trum responsible for “sea state” spans the region from about currents are largely produced by winds, and thus one should 300 kHzto 5 MHz.Constructing and calibrating an azi- be able to ultimately deducewind features from these echoes; muthal scanning radar which sweeps over this region would this is the approach taken in parallel analyses of HF sea echo be a formidable task, in addition to the difficulty that this by Ahearn et al. [3] and Long and Trizna [4]. frequency region is already heavily occupied by users (broad- cast band, marine band, etc.). Furthermore, propagation at 11. BACKGROUNDAND INTERPRETATION these lower frequencies is restricted to ground wave (limiting Let us explain the simple interpretation of the first-order the radar range to <200 km), since ionospheric modes will Dopplerspikes of Fig. 1 as firstdeduced byCrombie [l]. be severely attenuated most of the time. Though the sea to a casual observer generally looks like a Incontrast, sea scatterin the upper HF region (6-30 random, moving, scattering surface, the dominant, crisp, and MHz), at which ionospheric propagation to great distances equally displaced Doppler peaks lead one to believe that the (-4000 km) is favored, is of a somewhat different character. radar is actually observing twotargets moving radially at The first-order resonant peaks are still evident and usually discrete readily identifiable velocities. Thefact that these dominant, as shown in Fig. 1. However, other features in the Doppler displacements are observed to vary with the square Doppler spectrum are also present, and these features appear root of the carrier frequency suggests something unique aboutto vary more significantly with sea state than do the first- HF sea echo in contrast to echoes from other moving targets. order echopeaks. These additional features are referred to Since it is well known that gravitywaves in deep water travel as “higher order,” of which “second-order” effects are felt to at a phase velocity proportional to the square root of their be the dominant contributors. On the other hand, the larger lengths L (Le., Y= dgL/2*, where g is the gravitational con- fimt-order echo is for the most part constant andinsensitive to stant), then the length of the waves producing scatter can be sea state. The reasonfor this is that the wavesproducing uniquelydeduced from the radar-derived “target” velocity. scatter, being half the radar wavelength, vary in length be- This length (for backscatter near grazing incidence) is pre- tween 25 and 5 m. Waves of this length on the open-oceans cisely one-half the radar wavelength, and explains theob- are nearly always present and are developed to their maxi- served square-rootrelationship between the Doppler and mum allowableheight, as limited by breaking. This region carrier frequencies. Thus the Ocean wave trains are behaving of the wave-height spectrum in which saturation occursis like a series of diffraction gratings, only one of which has the called the equilibrium region; Phillips [6] has shown that the orientation and spacing to scatter back toward the radar (to nondirectional temporal wave-height spectrum should follow first order). This is the double set of sea wave trains with an f5 law (jequals wave frequency in hertz) in this region. L=X/2 (or K= 2k0, where X is the radar wavelength, with Fig. 2 isa buoy measurement of this spectrumat two different K = 2*/L and ko = 2*/x being the scatteringOcean wavenumber times for 20- and 25-knot wind-driven seas in the scattering and radar wavenumber, respectively) moving radially toward area off San Clemente Island. The r5saturation region is and away from the radar.Hence the double Dopplerecho pair. clearly evident in these records; a scale at the bottom shows Theory [2], [SI alsoshows that the backscattered echo that the radar frequencies at which first-order scatter would energy from this identifiable “resonant” water waveis propor- be observed clearly fall in this saturated equilibrium region BAKRICK el a!. : SEA BACKSCATTER AT HF 675 for all operating frequencies above about 2-3 MHz. The fact be optimal, and hence most sea-echo data were recorded at that the first-order echoes at favorable ionospheric propaga- these ranges. At these ranges, the water depthexceeds 1000 ft, tion frequencies originate from wavesof known height charac- so that bottom effects on the wave characteristics are neg- teristics suggests that these echoes can be used as a standard ligible.
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