Skip to main content
Log in

Radar and sodar probing of waves and turbulence in statically stable clear-air layers

  • Published:
Boundary-Layer Meteorology Aims and scope Submit manuscript

Abstract

This paper reviews the remote sensing of waves and turbulence in statically stable atmospheric layers, utilizing sodar and microwave radar echoes from the small-scale inhomogeneities in gaseous refractive index caused by localized fluctuations in temperature, humidity, and velocity. Scattering theory and sounding methodology are reviewed briefly, and the relative performance of typical radar and sodar systems compared. The main section of the paper takes the form of a summary and discussion of experimental progress since 1969, showing how the echo patterns obtained may be applied to the interpretation of multiple layering, gravity waves, internal fronts and the details of dynamic instability and the genesis of turbulence in stably stratified shear layers. In addition, methods for the measurement of the intensity of the small-scale (∼ λ/2) variability of wind, temperature and water vapor from the observed radar or sodar echo intensities, and the use of Doppler techniques for the measurement of mean velocity and turbulence are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Atlas, D.: 1964, ‘Advances in Radar Meteorology’,Adv. Geophys. 10, 317–478.

    Google Scholar 

  • Atlas, D. and Hardy, K. R.: 1966, ‘Radar Analysis of the Clear Atmosphere: Angels’,Proc. XV Gen. Assembly of URSI, Munich, Germany, pp. 401–469.

  • Atlas, D., Metcalf, J. I., Richter, J. H., and Gossard, E. E.: 1970, ‘The Birth of “CAT” and Microscale Turbulence’,J. Atmospheric Sci. 27, 903–913.

    Google Scholar 

  • Batchelor, G. K.: 1955, ‘The Scattering of Radio Waves in the Atmosphere by Turbulent Fluctuations in Refractive Index’, Research Report EE 262, School of Elect. Eng., Cornell University, Ithaca, N.Y.

    Google Scholar 

  • Bean, B. R.: 1971, ‘Comparisons of Remote and In-Situ Measurements of Meteorological Parameters and Processes’, in A. G. Kjelaas (ed.)Stat. Meth. and Instr. in Geophysics, Teknologisk Forlag, Oslo, pp. 181–196.

    Google Scholar 

  • Bean, B. R.: 1972, ‘Application of FM-CW Radar and Acoustic Echo-Sounder Techniques to Boundary Layer and CAT Studies’,Course in Remote Sensing of the Troposphere, University of Colorado, Ch. 20, 28 pp.

  • Bean, B. R., Dougherty, H. T., and McGavin, R. E.: 1971 a, ‘Remote Probes for the Study of Atmospheric Sources of Fading on Optical and Microwave Line-of-Sight Paths’,Proc. 1971 Int. Symp. Ant. and Prop., Japan, pp. 237–238.

  • Bean, B. R., McGavin, R. E., Chadwick, R. B., and Warner, B. D.: 1971b, ‘Preliminary Results of Utilizing the High Resolution FM Radar as a Boundary-Layer Probe’,Boundary-Layer Meteorol. 1, 466–473.

    Google Scholar 

  • Beran, D. W.: 1970,Proj. EAR (Environ. Acoustic Res.) 1, University of Melbourne, Meteorol. Dept. Pub. No. 15.

  • Beran, D. W.: 1971, ‘Acoustics: A New Approach for Monitoring the Environment Near Airports’,AIAA J. Aircraft 8, 934–936.

    Google Scholar 

  • Beran, D. W. and Clifford, S. F.: 1972, ‘Acoustic Doppler Measurements of the Total Wind Vector’, inProc. 2nd Symp. Meteorol. Observ. and Instr., Amer. Meteorol. Soc., Boston, Mass. pp. 100–109.

    Google Scholar 

  • Beran, D. W. and Willmarth, B. C.: 1971, ‘Doppler Winds from a Bistatic Acoustic Sounder’, inProc. 7th Int. Symp. Remote Sensing of Environment, University of Michigan, pp. 1699–1714.

  • Beran, D. W., Reynolds, R. M., and Gething, J. T.: 1970,Proj. EAR (Environ. Acoustic Res.) 5–7, University of Melbourne, Meteorol. Dept. Pub. No. 17.

  • Beran, D. W., Little, C. G., and Willmarth, B. C.: 1971a, ‘Acoustic Doppler Measurements of Vertical Velocities in the Atmosphere’, Nature230, 160–162.

    Google Scholar 

  • Beran, D. W., McAllister, L. G., and Mahoney, A. R.: 1971b, ‘Extension of Acoustic Sounding Experiments to the Upper Atmosphere’, WRE Tech. Note A208 (AP), Dept. of Supply, Weapons Res. Est., Salisbury, South Australia.

    Google Scholar 

  • Beran, D. W., Hall, F. F., Wescott, J. W., and Neff, W. D.: 1971c, ‘Application of an Acoustic Echo Sounder to Air Pollution Monitoring’,Air Pollution Turb. and Diffus. Symp., Dec. 7–10, New Mexico State University, Las Cruces, New Mexico.

    Google Scholar 

  • Boucher, R. J.: 1970, ‘CAT at a Subsidence Inversion: A Case Study’,J. Appl. Meteorol. 9, 534–537.

    Google Scholar 

  • Boucher, R. J. and Glover, K. M.: 1971, ‘Radar, Aircraft, and Meteorological Observations of Shear Induced Clear Air Turbulence’, inProc. Int. Conf. Atmos. Turb, London, England, B9, 10 pp.

  • Browning, K. A.: 1971, ‘Structure of the Atmosphere in the Vicinity of Large-Amplitude Kelvin-Helmholtz Billows’, Quart. J. Roy. Meteorol. Soc.97, 283–299.

    Google Scholar 

  • Browning, K. A.: 1972, ‘Atmospheric Research Using the Defford Radar Facility’,Weather 27, 2–13.

    Google Scholar 

  • Browning, K. A. and Watkins, C. D.: 1970, ‘Observations of Clear Air Turbulence by High Power Radar’,Nature 227, 260–263.

    Google Scholar 

  • Browning, K. A., Watkins, C. D., Starr, J. R., and McPherson, A.: 1970, ‘Simultaneous Measurements of Clear Air Turbulence at the Tropopause by High-Power Radar and Instrumented Aircraft’,Nature 228, 1065–1067.

    Google Scholar 

  • Chadwick, R. B. and Little, C. G.: 1972, ‘The Comparison of Sensitivities of Atmospheric Echo Sounders’ (in publication).

  • Crane, R. K.: 1970, ‘Measurement of Clear Air Turbulence in the Lower Stratosphere Using the Millstone Hill L-Band Radar’, Preprints 14th Radar Meteorol. Conf. Amer. Meteorol. Soc., Boston, Mass., pp. 101–106.

  • Derr, V. E. and Little, C. G.: 1970, ‘A Comparison of Remote Sensing of the Clear Atmosphere by Optical, Radio, and Acoustic Radar Techniques’,Appl. Opt. 9, 1976–1992.

    Google Scholar 

  • Dutton, J. A.: 1971, ‘Clear-Air Turbulence, Aviation, and Atmospheric Science’,Rev. Geophys. Space Phys. 9, 613–657.

    Google Scholar 

  • Dutton, J. A. and Panofsky, H. A.: 1970, ‘Clear Air Turbulence: a Mystery May be Unfolding’,Science 167, 937–944.

    Google Scholar 

  • Emmanuel, C. B., Bean, B. R., McAllister, L. G., and Pollard, J. R.: 1972, ‘Observations of Helmholtz Waves in the Lower Atmosphere with an Acoustic Sounder’,J. Atmospheric Sci. 29, 886–892.

    Google Scholar 

  • Georges, T. M. and Clifford, S. F.: 1972, ‘Acoustic Sounding in a Refractive Medium’, submitted toJ. Acoust. Soc. Amer.

  • Gething, J. T. and Jenssen, D.: 1971, ‘Measurements of Temperature and Humidity byAcoustic Echo Sounding’,Nature 231, 198–200.

    Google Scholar 

  • Gjessing, D. T.: 1969, ‘Atmospheric Structure Deduced from Forward-Scatter Wave Propagation Experiments’,Radio Sci. 4, 1195–1210.

    Google Scholar 

  • Glover, K. M. and Duquette, E. F.: 1970, ‘A Study of Clear Air Turbulence Using Sensitive Radars’, Preprints 14th Radar Meteorol. Conf., Amer. Meteorol. Soc., Boston, Mass., pp. 89–94.

    Google Scholar 

  • Glover, K. M., Boucher, R. J., Ottersten, H., and Hardy, K. R.:1968,‘Radar, Aircraft, and Meteorological Investigation of Clear Air Turbulence’, inProc. 13th Radar Meteorol. Conf., Amer. Meteorol. Soc., Boston, Mass., pp. 242–247.

    Google Scholar 

  • Glover, K. M., Boucher, R. J., Ottersten, H., and Hardy, K. R.: 1969, ‘Simultaneous Radar, Aircraft, and Meteorological Investigations of Clear Air Turbulence’,J. Appl. Meteorol. 8, 634–640.

    Google Scholar 

  • Gossard, E. E. and Richter, J. H.: 1970, ‘The Shape of Internal Waves of Finite Amplitude from High-Resolution Radar Sounding of the Lower Atmosphere’,J. Atmospheric Sci. 27, 971–973.

    Google Scholar 

  • Gossard, E. E. and Richter, J. H.: 1972, ‘FM-CW Radar Studies of Production of Turbulent Instability within Thermally Stable Layers by Internal Waves’, inEffects of Atmos. Gravity Waves on Electromag. Wave Prop., AGARD Conf. Proc.115, Wiesbaden, Germany, Ref. No. 20, 14 pp.

  • Gossard, E. E., Richter, J. H., and Atlas, D.: 1970, ‘Internal Waves in the Atmosphere from HighResolution Radar Measurements’,J. Geophys. Res. 75, 3523–3536.

    Google Scholar 

  • Gossard, E. E., Jensen, D. R., and Richter, J. H.: 1971, ‘An Analytical Study of Tropospheric Structure as Seen by High-Resolution Radar’,J. Atmospheric Sci. 28, 794–807.

    Google Scholar 

  • Hall, F. F.: 1971, ‘Acoustic Remote Sensing of Temperature and Velocity Structure in the Atmosphere’, in A. G. Kjelaas (ed.),Stat. Meth. and Instru. in Geophys. Teknologisk Forlag, Oslo, pp. 167–180.

    Google Scholar 

  • Hall, F. F.: 1972, ‘Temperature and Wind Structure Studies by Acoustic Echo-Sounding’, inCourse in Remote Sensing of the Troposphere, University of Colorado, Ch. 18, 26 pp.

  • Hall, F. F., Wescott, J. W., and Simmons, W. R.: 1971, ‘Acoustic Echo Sounding of Atmospheric Thermal and Wind Structure’, inProc. 7th Int. Symp. Remote Sensing of Environ., University of Michigan, pp. 1715–1732.

  • Hardy, K. R.: 1972, ‘Studies of the Clear Atmosphere Using High Power Radar’,Course in Remote Sensing of the Troposphere, University of Colorado, Ch. 14, 34 pp.

  • Hardy, K. R. and Katz, I.: 1969, ‘Probing the Clear Atmosphere with High Power, High-Resolution Radar’,Proc. IEEE 57, 468–480.

    Google Scholar 

  • Hardy, K. R., Atlas, D., and Glover, K. M.: 1966, ‘Multiwavelength Backscatter from the Clear Atmosphere’,J. Geophys. Res. 71, 1537–1552.

    Google Scholar 

  • Hardy, K. R., Glover, K. M., and Ottersten, H.: 1969, ‘Radar Investigations of Atmospheric Structure and CAT in the 3 to 20-km Region’, in Y.-H. Pao and A. Goldburg (eds.), Clear Air Turbulence and Its Detection, Plenum Press, New York, pp. 402–416.

    Google Scholar 

  • Hardy, K. R., Reed, R. J., and Mather, G. K.: 1973, ‘Radar, Instrumented Aircraft, and Meteorological Measurements of Developing Kelvin-Helmholtz Billows’, submitted toQuart. J. Roy. Meteorol. Soc.

  • Harrold, T. W. and Browning, K. A.: 1971, ‘Identification of Preferred Areas of Shower Development by Means of High Power Radar’,Quart. J. Roy. Meteorol. Soc. 97, 330–339.

    Google Scholar 

  • Hicks, J. J.: 1969, ‘Radar Observations of a Gravitational Wave in Clear Air Near the Tropopause Associated with CAT’,J. Appl. Meteorol. 8, 627–633.

    Google Scholar 

  • Hicks, J. J. and Angell, J. K.: 1968, ‘Radar Observations of Breaking Gravitational Waves in the Visually Clear Atmosphere’,J. Appl. Meteorol. 7, 114–121.

    Google Scholar 

  • Hicks, J. J., Katz, I., Landry, C. R., and Hardy, K. R.: 1967, ‘Clear Air Turbulence: Simultaneous Observations by Radar and Aircraft’,Science 157, 808–809.

    Google Scholar 

  • Hooke, W. H., Young, J. M., and Beran, D. W.: 1972, ‘Atmospheric Waves Observed in the Planetary Boundary Layer Using an Acoustic Sounder and a Microbarograph Array’,Boundary-Layer Meteorol. 2, 371–380.

    Google Scholar 

  • Kallistratova, M. A.: 1961, ‘Experimental Investigation of Sound Wave Scattering in the Atmosphere’,Trudy Inst. Fiz. Atmos. Turbulentnost 4, 203–256.

    Google Scholar 

  • Katz, I: 1966, ‘Probing the Clear Atmosphere with Radar’, APL Tech. Digest, Applied Physics Laboratory, Johns Hopkins University, Sept–Oct., 2–8.

  • Katz, I.: 1969, ‘Probing the Optically Clear Atmosphere with Radar’, in Y.-H. Pao and A. Goldburg (eds.),Clear Air Turbulence and Its Detection, Plenum Press, New York, pp. 417–424.

    Google Scholar 

  • Katz, I.: 1972, ‘The Detection and Study of Gravity Waves with Microwave Radar’, inEffects of Atmos. Gravity Waves on Electromag. Wave Prop., AGARD Conf. Proc.115, Wiesbaden, Germany, Ref. No. 21, 9 pp.

  • Konrad, T. G.: 1970, ‘The Dynamics of the Convective Process in Clear Air as Seen by Radar’,J. Atmospheric Sci. 27, 1138–1147.

    Google Scholar 

  • Kropfli, R. A.: 1971, ‘Simultaneous Radar and Instrumented Aircraft Observations in a Clear Air Turbulent Layer’,J. Appl. Meteorol. 10, 796–802.

    Google Scholar 

  • Kropfli, R. A., Katz, I., Konrad, T. G., and Dobson, E. B.: 1968, ‘Simultaneous Radar Reflectivity Measurements and Refractive-Index Spectra in the Clear Atmosphere’,Radio Sci. 3, 991–994.

    Google Scholar 

  • LaGrone, A. H. and Deam, A. P.: 1971, ‘Study of the Relationship Between Radar Returns from Clear Air and the Mechanical Energy Regime in the Atmosphere’, inProc. 1971 Int. Symp. Antennas and Prop., Japan, pp. 235–236.

  • Lane, J. A.: 1967,Structure of the Lower Atmosphere and Electromagnetic Wave Prop., NATO Advanced Study Institute, directed by J. A. Lane, 2–15 Sept. 1967, Aberystwyth, Wales.

  • Lane, J. A.: 1969, ‘Radar Echoes from Clear Air in Relation to Refractive-Index Variations in the Troposphere’,Proc. IEE 116, 1656–1660.

    Google Scholar 

  • Lhermitte, R. M.: 1968, ‘Atmospheric Probing by Doppler Radar’, inProc. NAS-CAS Panel on Remote Atmos. Probing, Chicago, Illinois, pp. 253–285.

  • Little, C. G.: 1969, ‘Acoustic Methods for the Remote Probing of the Lower Atmosphere’,Proc. IEEE 57, 571–578.

    Google Scholar 

  • Little, C. G.: 1972, ‘Prospects for Acoustic Echo-Sounding’,Course in Remote Sensing of the Troposphere, University of Colorado, Ch. 19, 10 pp.

  • Little, C. G., Derr, V. E., Kleen, R. H., Lawrence, R. S.,Lhermitte, R. M., Owens, J. C., and Thayer, G. D.: 1970, ‘Remote Sensing of Wind Profiles in the Boundary Layer’, ESSA Tech. Rept. ERL 168-WPL 12, Boulder, Colorado 123 pp.

  • Ludlam, F. H.: 1967, ‘Characteristics of Billow Clouds and Their Relation to Clear Air Turbulence,’Quart. J. Roy. Meteorol. Soc. 93, 419–435.

    Google Scholar 

  • Mahoney, A. R.: 1969, ‘A Review of Acoustic Sounding Experiments’, WRE Tech. Note CPD (T) 180, July.

  • Mather, G. K. and Hardy, K. R.: 1970, ‘Instrumented Aircraft Measurements in the Vicinity of Clear Air Radar Structures’, Preprints 14th Radar Meteorol. Conf., Amer. Meteorol. Soc., Boston, Mass., pp. 49–52.

    Google Scholar 

  • McAllister, L. G.: 1968, ‘Acoustic Sounding of the Lower Troposphere’,J. Atmospheric Terrest. Phys. 30, 1439–1440.

    Google Scholar 

  • McAllister. L. G.: 1971, ‘Wind Velocity Measurements in the Lower Atmosphere Using Acoustic Sounding Techniques’, WRE Tech. Note - A 204 (AP), Dept. of Supply, Weapons Res. Est., Salisbury, South Australia, 10 pp.

  • McAllister, L. G. and Pollard, J. R.: 1969, ‘Acoustic Sounding of the Lower Atmosphere’ inProc. 6th Int. Symp. Remote Sensing of Environ., University of Michigan, pp. 436–450.

  • McAllister, L. G., Pollard, J. R., Mahoney, A. R., and Shaw, P. J.: 1969, ‘Acoustic Sounding — A New Approach to the Study of Atmospheric Structure’,Proc. IEEE 57, 579–587.

    Google Scholar 

  • Megaw, E. C. S.: 1957, ‘Fundamental Radio Scatter Propagation Theory’,Proc. IEE, London,104C, 441.

    Google Scholar 

  • Meyer, J. H.: 1971, ‘Radar Observations of Land Breeze Fronts’,J. Appl. Meteorol. 10, 1224–1232.

    Google Scholar 

  • Miles, J. W. and Howard, L. N.: 1964, ‘Note on a Heterogeneous Shear Flow’,J. Fluid Mech. 20, 331–336.

    Google Scholar 

  • Monin, A. S.: 1961, ‘Characteristics of the Scattering of Sound in a Turbulent Atmosphere’,Akust Zh. 7, 457–461, (Soviet Phys. - Acoustics 7, (1962), 370–373.

    Google Scholar 

  • Ottersten, H.: 1964, ‘A Theoretical Treatment of Microwave Backscattering from Tropospheric Turbulence’, Swedish Res. Inst. Nat. Def. Rept. A 623, Stockholm, 16 pp.

  • Ottersten, H.: 1969a, ‘Atmospheric Structure and Radar Backscattering in Clear Air’,Radio Sci. 4, 1179–1193.

    Google Scholar 

  • Ottersten, H.: 1969b, ‘Radar Backscattering from the Turbulent Clear Atmosphere’,Radio Sci. 4, 1251–1255.

    Google Scholar 

  • Ottersten, H.: 1969c, ‘Mean Vertical Gradient of Potential Refractive Index in Turbulent Mixing and Radar Detection of CAT’,Radio Sci. 4, 1247–1249.

    Google Scholar 

  • Ottersten, H.: 1970a, ‘Radar Observations of the Turbulent Structure in Shear Zones in the Clear Atmosphere’, Preprints 14th Radar Meteorol. Conf., Amer. Meteorol. Soc., Boston, Mass., pp. 111–116.

    Google Scholar 

  • Ottersten, H.: 1970b, ‘Radar Angels and Their Relationship to Meteorological Factors’,Swedish Res. Inst. Nat. Def., FOA Repts. 4, No. 2, Stockholm, 33 pp.

  • Ottersten, H.: 1972, ‘Radar Monitoring of Turbulence at the Tropopause Level’, NOAA Tech. Rept. ERL-WPL, Boulder, Colorado, 69 pp.

  • Parry, H. D. and Sanders, M. J.: 1972, ‘The Design and Operation of an Acoustic Radar’,IEEE Trans. GE 10, 58–64.

    Google Scholar 

  • Preprints 14th Conf. Radar Meteorol.: 1970, Amer. Meteorol. Soc., Boston, Mass., 465 pp.

  • Proc. 12th Conf. Radar Meteorol.: 1966, Amer. Meteorol. Soc., Boston, Mass., 510 pp.

  • Proc. 13th Conf. Radar Meteorol.: 1968, Amer. Meteorol. Soc., Boston, Mass., 565 pp.

  • Reed, R. J. and Hardy, K. R.: 1972, ‘A Case Study of Persistent, Intense Clear Air Turbulence in an Upper Level Frontal Zone’,J. Appl. Meteorol. 11, 541–549.

    Google Scholar 

  • Richter, J. H.: 1969, ‘High-Resolution Tropospheric Radar Sounding’,Radio Sci. 4, 1261–1268.

    Google Scholar 

  • Richter, J. H. and Gossard, E. E.: 1970, ‘Lower Tropospheric Structure as Seen by a High-Resolution Radar’, Naval Elect. Lab. Center, Rept. TR 1718, San Diego, 66 pp.

  • Saxton, J. A., Lane, J. A., Meadows, R. W., and Mathews, P. A.: 1964, ‘Layer Structure of the Troposphere - Simultaneous Radar and Microwave Refractometer Investigations’,Proc. IEE 3, 275–283.

    Google Scholar 

  • Scoggins, J. R.: 1970, ‘Relationship Between Meteorological Parameters, CAT, and Variations in the Index of Refraction Measured by Airplane and Radar’, Antennas and Prop. Div., Rept. P-45, University of Texas, 51 pp.

  • Scorer, R. S.: 1969a, ‘Mechanisms of Clear Air Turbulence’, in Y.-H. Pao and A. Goldburg (eds.),Clear Air Turbulence and Its Detection, Plenum Press, New York, pp. 34–50.

    Google Scholar 

  • Scorer, R. S.: 1969b, ‘Billow Mechanics’,Radio Sci. 4, 1299–1307.

    Google Scholar 

  • Simmons, W. R., Wescott, J. W., and Hall, F. F.: 1971, ‘Acoustic Echo Sounding as Related to Air Pollution in Urban Environments’, NOAA Tech. Rept. ERL 216-WPL 17, Boulder, Colorado, 77 pp.

  • Smith, P. L. and Rogers, R. R.: 1963, ‘On the Possibility of Radar Detection of Clear-Air Turbulence’, inProc. 10th Weather Radar Conf., Amer. Meteorol. Soc., Boston, Mass., pp. 316–322.

    Google Scholar 

  • Starr, J. R. and Browning, K. A.: 1972, ‘Observations of Lee Waves by High-Power Radar’,Quart. J. Roy. Meteorol. Soc. 98, 73–85.

    Google Scholar 

  • Tatarski, V. I.: 1961,Wave Propagation in a Turbulent Medium, McGraw-Hill Book Co., Inc., New York, N.Y., 285 pp.

    Google Scholar 

  • Watkins, C. D.: 1971, ‘High-Power Radar for Meteorological Studies in Clear Air’,Proc. IEE 118, 519–528.

    Google Scholar 

  • Wescott, J. W., Simmons, W. R., and Little, C. G.: 1970, ‘Acoustic Echo-Sounding Measurements of Temperature and Wind Fluctuations’, ESSA Tech. Memo. ERLTM-WPL 5, Boulder, Colorado, 24 PP.

  • Wheelon, A. D.: 1959, ‘Radio-Wave Scattering by Tropospheric Irregularities’,J. Res. NBS 63, D205.

  • Woodman, R. F. and Guillen, A.: 1972, ‘Observations of the Mesophere and Stratosphere with the Jicamarca Radar’ (in process).

  • Yaglom, A. M. and Tatarski, V. 1. (eds.): 1967,Atmospheric Turbulence and Radio Wave Propagation, Proc. Int. Colloq., Moscow, June, 15–22, 1965, Nauka, Moscow, 376 pp.

Download references

Author information

Authors and Affiliations

Authors

Additional information

SODAR from SOund Detection And Ranging in analogy to RAdio Detection And Ranging.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ottersten, H., Hardy, K.R. & Little, C.G. Radar and sodar probing of waves and turbulence in statically stable clear-air layers. Boundary-Layer Meteorol 4, 47–89 (1973). https://doi.org/10.1007/BF02265225

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02265225

Keywords

Navigation