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-- - . : " [~~I~m]Mr~mli~I~limlil~I~llilil~~~3 4589 000019829 ~' U.S. DEPARTMENT OF COMMERCE. John T. Connor, "'...... .aury ENVIRONMENTAL SCIENCE SERVICES ADMINISTRATION Robert M. White. Administrator Weather Bureau. Geor,ge P. Cressman, Director TECHNICAL NOTE 46·NSSL.26 Prob i n9 Air Motion by Dopp Ie rAna lysis of Radar,Clear Air Returns Roger M.Lhermitte NSSL, Norman, Oklahoma NATI9NAL SEVERE STORMS LABORATORY REPORT NO.26 WASH'INGTON, D.C. May 1966 The program at the National Severe Storms Laboratory involves the cooperative participation of many government agencies and other groups. The work reported in this paper\'lasgreatly assisted by sub stantial support from the Federal Aviation Agency ------------- through interdepartmental agreement No. FA65 WAr -91 . ':",'" .~ . -.' ~ ',' ......., Oklahoma Climatological Survey TABLE OF CONTENTS Section Title Page Abstract 1 1. Introduction .. 1 2. Doppler Radar Method 2 3. Intensity of Target Back Scattering 5 4. Doppler Spread 11 5. CAR Horizontal Motion Estimate 14 6. Estimate of Vertical l1otion 22 7. Study of a Low-Level Jet from the Doppler Radar Data 23 8. Doppler "Wind" Speed Variance and the Scale of Horizontal Eddies 29 Correlation between Target Motions at #, Several Levels 31 10. Conclusion 33 Acknowledgments 33 Appendix·· 34 References 36 .. PROBING AIR MOTION BY DOPPLER ANALYSIS OF RADAR CLEAR AIR RETURNS Roger M. Lhermitte National Severe Storms Laboratory Norman, Oklahoma ABSTRACT A Doppler radar has been used in central Oklahoma to probe the motion of invisible targets usually referred to as "angels fI • The large c].ensi ty of targets detected on certain days suggests the presence of a dense atmospheric "planktontt drifting with the air. Uniform motion for all the targets in the area surveyed by the radar beam is confirmed by.the systematic pattern of target radial motions as a function of radar beam azimuth. Target hori zontal motion direction and speed are derived from the radial . velocitY-,.;lzimuth patterns and interpreted as horizontal wind. The small vertical motion of targets is also estimated f·rom the. '. data. This technique is applied ·to the analy~is of wind variance and the study ofa low-level jet. 1. INTRODUCTION It has been known for years that radar echoes are· often ob served from . clear air when. no targets can be seen by the naked eye .. The invisible targets have been called "angelsll but this paper re- fers. to them as '·'c<iear air return". ( CAR). .. , TWo primary explanations have been given for the observ~tion of CAR: (1) the presence of animal life in the atmosphere such as birds or insects; (2) the.possible existence of sharp discontinu- . itiesin the atmospheric index of refraction. The presence of grass, plant s.eeds, etc., should be added to this list, since such materials can be carried.aloftby air motion and have a back scat teringcross section sufficiently iarge.for detection by the radar. For example , a piece of dry Johnson grass (0 .4 em.) on 0.86' em, .. qf wavelength haS a radar cross seqtion of 10-:-2qm.2 (Tolbert et. aL. .' [25]) ,and should be easily detected at. one or two miles by a:' con...,. ventional. radar. ." . There 'is no doubt that in some instances CAR has been def;i':' niteiy· associated Wi.th migrating birds. On the other hand, it has also been demonstrated that turbulent, layers in clear air create radar return (Hardy at a1. [13J) .', . '. " . " .. Regardless ot the nature of the targets,lf they gre smalL 2 and have a low inertia, their motion relative to the surrounding air should be negligible. If the radar return is due solely to the at mosphere itself, as in the case of localized high variance of the index of refraction, air motion and apparent t.arget motion should be identical. Therefore, continuous observation of CAR target veloc ities should lead to an effective probing of air motion in the al titude range wh~re the targets· are detected. It has been found that CAR is often detected, in central Okla homa, in an atmospheric layer which extends from slightly above the ground to an altitude which ranges between'a few hundred meters and 2 km. Detailed observations of CAR motion have, therefore, been conducted with an "X" band Doppler radar. The Doppler radar pro vides a very quick estimate of· the radial motion of any detected target and, with an appropriate scheme of azimuth and range scan ning, horizontal and vertical components of the motion at several altitudes can be derived from the observation of the radial speed of a large number of targets. / The Doppler radar has been operated almost continuously during i several months and CAR motion has been effectively observed during , more than 1,000 hours, at several altitudes ranging from 300 to 2 km. ; \ The intensity of the C~R signals has also been recorded. Although , the data have not been completely analyzed yet, this paper presents an interesting case study of the motion of CAR during the 30-hr. \~ period from 0700 CST Ju·ne. 26, to 1300 CST June 27, 1965. This wa.s .. a clear summer day. in central Oklahoma. Thermal convection was followed by a nocturnal lOW-level jet stream. j Although some characteristics of the back scattered signal are discussed here,our main purpose is to relate the target motions to ~ the wind. The origin of the radar returns will b~ explored later wi th the aid of data collected during several months of operation. ·At this time, the works of Browning and Atlas [7J and Hardy, et al. j [13J can be noted for discussion of CAR origins. 2. DOPPLER RADAR METHOD Some past attempts to derive winds from CAR motion have been based on the use of automatic tracking radar to measure target vel ocity (Roelofs [23J). On some occasions the horizontal target speed was derived by relating the dUration and altitude of individ;;' ual radar echoes to thebeamw.Ldth and wind speed assuming the scat terers to be point targets transported through the stationary beam with the wind (Plank [22J). While these studies have generally concluded that the targets are small relative to the beam and appear to be wi nd borne , no :firm conclusions could be reached as to their . adequacy as wind tracers since the motions of some targets were 9losely related to that of the. 'wind and others were not. This vari ability may be attributed to the fa.ct that related wind measurements . were made at different times and locations, and that 'CAR motion was determined from only a small number of measurements. 3 The Doppler radar techniques present~d in this paper offer an improved means of observing CAR motion and determining its correla tion with the wind. Such techniques require only a few milliseconds to obtain accurate Doppler frequency estimates. Moreover, with'an adequate data acquisition scheme, statistics of motion can be deter mined for all the targets around the radar. The atmospheric volume explored by this technique is defined by an area of several square miles and a vertical extent of approximately 2 km, If the radar beam is fixed, the number of targets observed during a certain time depends on both their advection and their density. However, with radar beam scanning, the number of targets observed during a certain time does not involve advection, and is only a function of the vol ume sca.nned. Scanning provides observation of a gr.eater number of targets and, therefore, improves the reliability of the statistics of motion derived from the observations. ~t must be noted that the scanning speed is limited by the fact that the target must remain in the radar beam for at least a few milliseconds, in order to avoid the production of spurious. Dop pler'frequeneies related to the Fourier transform of the signal time function. On the other hand, the probing technique is optimized when the total time for exploration is no longer than that required to observe a fresh supply of targets. For probing the horizontal air motion, the radar beam is scanned in azimuth at a fixed elevation angle, 9.. The altitude at which Doppler observations are made is determined by sampling the signals in a narrow range gate at range R and altitude R sin 9 • This is equivalent to exploring a circuJ.ar region at an altitude and horizontal radius defined by the selected range and the radar beam elevation angle. The radial motion which is derived from the Doppler frequency shift is represented by the projection of the target motion vector on the axis of the radar beam, assuming it to be narrow. Fqr example, assume that the targets are at the same alti tude and mOving in the same direction with identical speeds. The target radialv$locity along the beam, VR, is resolved into horizontal and vertical components Vh and Vz according to: (1) . where 9 is the elevation angle, and t3 is the difference between the azimuth of the wind vector and the azimuth of the radar ·beam. Equation (1) and the"associated'method is similar to that presented by Lhe~tte and Atlas [19J, Lhermitte [17], Boucher et al. [6J, for the study of precipitation particle motion. The work contained in this paper is based on CAR speed meas- 4 urements obtained using the above method in a study of atmospheric motion in central Oklahoma. This scheme has been found to be ade quate when a large number of targets is observed during a single azimuth scan. An experimental 1!X" band pulse Doppler radar, which has been described elsewhere (Lhermitte & Kessler [20J) has been used to ob serve and record target radial velocity.