Abstract
Propagation of sound close to the ground outdoors involves geometric spreading, air absorption, interaction with the ground, barriers, vegetation and refraction associated with wind and temperature gradients. After a brief survey of historical aspects of the study of outdoor sound and its applications, this chapter details the physical principles associated with various propagation effects, reviews data that demonstrate them and methods for predicting them. The discussion is concerned primarily with the relatively short ranges and spectra of interest when predicting and assessing community noise rather than the frequencies and long ranges of concern, for example, in infrasonic global monitoring or used for remote sensing of the atmosphere. Specific phenomena that are discussed include spreading losses, atmospheric absorption, diffraction by barriers and buildings, interaction of sound with the ground (ground waves, surface waves, ground impedance associated with porosity and roughness, and elasticity effects), propagation through crops, shrubs and trees, wind and temperature gradient effects, shadow zones and incoherence due to atmospheric turbulence. The chapter concludes by suggesting a few areas that require further research.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Abbreviations
- 2-D:
-
two-dimensional
- 3-D:
-
three-dimensional
- AM:
-
amplitude modulation
- CFD:
-
computational fluid dynamics
- CONCAWE:
-
CONservation of Clean Air and Water in Europe
- EC:
-
European Commission
- FDTD:
-
finite difference time domain
- FFLAGS:
-
fast field program for air–ground system
- FFP:
-
fast field program
- ICAO:
-
International Civil Aviation Organization
- ISO:
-
International Organization for Standardization
- PE:
-
parabolic equation
- TG:
-
temperature gradient
References
F.V. Hunt: Origins in Acoustics (Acoustical Society of America, AIP, New York 1992)
C.D. Ross: Outdoor sound propagation in the US civil war, Appl. Acoust. 59, 101–115 (2000)
M.V. Naramoto: A concise history of acoustics in warfare, Appl. Acoust. 59, 137–147 (2000)
G. Becker, A. Gudesen: Passive sensing with acoustics on the battlefield, Appl. Acoust. 59, 149–178 (2000)
N. Xiang, J.M. Sabatier: Land study on antipersonnel landmine detection using acoustic-to-seismic coupling, J. Acoust. Soc. Am. 113, 1333–1341 (2003)
A. Michelson: Sound reception in different environments. In: Perspectives in Sensory Ecology, ed. by M.A. Ali (Plenum, New York 1978) pp. 345–373
V.E. Ostashev: Acoustics in Moving Inhomogeneous Media (E. & F.N. Spon, London 1999)
J.E. Piercy, T.F.W. Embleton, L.C. Sutherland: Review of noise propagation in the atmosphere, J. Acoust. Soc. Am. 61, 1403–1418 (1977)
K. Attenborough: Review of ground effects on outdoor sound propagation from continuous broadband sources, Appl. Acoust. 24, 289–319 (1988)
J.M. Sabatier, H.M. Hess, P.A. Arnott, K. Attenborough, E. Grissinger, M. Romkens: In situ measurements of soil physical properties by acoustical techniques, Soil Sci. Am. J. 54, 658–672 (1990)
H.M. Moore, K. Attenborough: Acoustic determination of air-filled porosity and relative air permeability of soils, J. Soil Sci. 43, 211–228 (1992)
N.D. Harrop: The exploitation of acoustic-to-seismic coupling for the determination of soil properties. Ph.D. Thesis (The Open University, Milton Keynes 2000)
K. Attenborough, H.E. Bass, X. Di, R. Raspet, G.R. Becker, A. Güdesen, A. Chrestman, G.A. Daigle, A. LʼEspérance, Y. Gabillet, K.E. Gilbert, Y.L. Li, M.J. White, P. Naz, J.M. Noble, H.J.A.M. van Hoof: Benchmark cases for outdoor sound propagation models, J. Acoust. Soc. Am. 97, 173–191 (1995)
E.M. Salomons: Computational Atmospheric Acoustics (Kluwer, Dordrecht 2002)
M.C. Bérengier, B. Gavreau, P. Blanc-Benon, D. Juvé: A short review of recent progress in modelling outdoor sound propagation, Acust. Acta Acust. 89, 980–991 (2003)
Directive of the European parliament and of the Council relating to the assessment and management of noise 2002/EC/49: 25 June 2002, Off. J. Eur. Communities L189, 12–25 (2002)
J. Kragh, B. Plovsing: Nord2000. Comprehensive Outdoor Sound Propagation Model. Part I-II. DELTA Acoustics & Vibration Report, 1849-1851/00, 2000 (Danish Electronics, Light and Acoustics, Lyngby, Denmark 2001)
HARMONOISE contract funded by the European Commission IST-2000-28419, available online at http://www.trl.co.uk/online_store/reports_publications/trl_reports/cat_traffic_and_the_environment/report_harmonoise_prediction_model_for_road_traffic_noise.htm (last accessed 29 April 2014)
IMAGINE (Improved Methods for the Assessment of the Generic Impact of Noise in the Environment): http://doutoramento.schiu.com/referencias/outras/Improved%20Methods%20for%20the%20Assessment%20of%20the%20Generic%20Impact%20of%20Noise%20in%20the%20Environment%20(IMAGINE)%20-%20State%20of%20the%20Art.pdf (last viewed 29 April 2014)
K.M. Li, S.H. Tang: The predicted barrier effects in the proximity of tall buildings, J. Acoust. Soc. Am. 114, 821–832 (2003)
H.E. Bass, L.C. Sutherland, A.J. Zuckewar: Atmospheric absorption of sound: Further developments, J. Acoust. Soc. Am. 97, 680–683 (1995)
D.T. Blackstock: Fundamentals of Physical Acoustics, University of Texas Austin, Texas (Wiley, New York 2000)
C. Larsson: Atmospheric Absorption Conditions for Horizontal Sound Propagation, Appl. Acoust. 50, 231–245 (1997)
C. Larsson: Weather Effects on Outdoor Sound Propagation, Int. J. Acoust. Vibration 5, 33–36 (2000)
ISO 9613-2: Acoustics: Attenuation of Sound During Propagation Outdoors. Part 2: General Method of Calculation (International Standard Organisation, Geneva, Switzerland 1996)
ISO 10847: Acoustics – In-situ determination of insertion loss of outdoor noise barriers of all types (International Standards Organisation, Geneva, Switzerland 1997)
ANSI S12.8: Methods for Determination of Insertion Loss of Outdoor Noise Barriers (American National Standard Institute, Washington, DC 1998)
G.A. Daigle: Report by the International Institute of Noise Control Engineering Working Party on the Effectiveness of Noise Walls (Noise/News International I-INCE, Poughkeepsie, NY 1999)
B. Kotzen, C. English: Environmental Noise Barriers: A Guide to their Acoustic and Visual Design (E.&F.N. Spon, London 1999)
A. Sommerfeld: Mathematische Theorie der Diffraction, Math. Ann. 47, 317–374 (1896)
H.M. MacDonald: A class of diffraction problems, Proc. Lond. Math. Soc. 14, 410–427 (1915)
S.W. Redfearn: Some acoustical source–observer problems, Philos. Mag. Ser. 7, 223–236 (1940)
J.B. Keller: The geometrical theory of diffraction, J. Opt. Soc. 52, 116–130 (1962)
W.J. Hadden, A.D. Pierce: Sound diffraction around screens and wedges for arbitrary point source locations, J. Acoust. Soc. Am. 69, 1266–1276 (1981)
T.F.W. Embleton: Line integral theory of barrier attenuation in the presence of ground, J. Acoust. Soc. Am. 67, 42–45 (1980)
P. Menounou, I.J. Busch-Vishniac, D.T. Blackstock: Directive line source model: A new model for sound diffracted by half planes and wedges, J. Acoust. Soc. Am. 107, 2973–2986 (2000)
H. Medwin: Shadowing by finite noise barriers, J. Acoust. Soc. Am. 69, 1060–1064 (1981)
Z. Maekawa: Noise reduction by screens, Appl. Acoust. 1, 157–173 (1968)
K.J. Marsh: The CONCAWE Model for Calculating the Propagation of Noise from Open-Air Industrial Plants, Appl. Acoust. 15, 411–428 (1982)
R.B. Tatge: Barrier-wall attenuation with a finite sized source, J. Acoust. Soc. Am. 53, 1317–1319 (1973)
U.J. Kurze, G.S. Anderson: Sound attenuation by barriers, Appl. Acoust. 4, 35–53 (1971)
P. Menounou: A correction to Maekawaʼs curve for the insertion loss behind barriers, J. Acoust. Soc. Am. 110, 1828–1838 (2001)
Y.W. Lam, S.C. Roberts: A simple method for accurate prediction of finite barrier insertion loss, J. Acoust. Soc. Am. 93, 1445–1452 (1993)
M. Abramowitz, I.A. Stegun: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York 1972)
K. Attenborough, S.I. Hayek, J.M. Lawther: Propagation of sound above a porous half-space, J. Acoust. Soc. Am. 68, 1493–1501 (1980)
A. Banos: Dipole Radiation in the Presence of Conducting Half-Space (Pergamon, New York 1966), Chap. 2–4
R.J. Donato: Model experiments on surface waves, J. Acoust. Soc. Am. 63, 700–703 (1978)
G.A. Daigle, M.R. Stinson, D.I. Havelock: Experiments on surface waves over a model impedance using acoustical pulses, J. Acoust. Soc. Am. 99, 1993–2005 (1996)
Q. Wang, K.M. Li: Surface waves over a convex impedance surface, J. Acoust. Soc. Am. 106, 2345–2357 (1999)
D.G. Albert: Observation of acoustic surface waves in outdoor sound propagation, J. Acoust. Soc. Am. 113, 2495–2500 (2003)
K.M. Li, T. Waters-Fuller, K. Attenborough: Sound propagation from a point source over extended-reaction ground, J. Acoust. Soc. Am. 104, 679–685 (1998)
J. Nicolas, J.L. Berry, G.A. Daigle: Propagation of sound above a finite layer of snow, J. Acoust. Soc. Am. 77, 67–73 (1985)
J.F. Allard, G. Jansens, W. Lauriks: Reflection of spherical waves by a non-locally reacting porous medium, Wave Motion 36, 143–155 (2002)
M.E. Delany, E.N. Bazley: Acoustical properties of fibrous absorbent materials, Appl. Acoust. 3, 105–116 (1970)
K.B. Rasmussen: Sound propagation over grass covered ground, J. Sound Vib. 78, 247–255 (1981)
K. Attenborough: Ground parameter information for propagation modeling, J. Acoust. Soc. Am. 92, 418–427 (1992)
R. Raspet, K. Attenborough: Erratum: Ground parameter information for propagation modeling, J. Acoust. Soc. Am. 92, 3007 (1992)
R. Raspet, J.M. Sabatier: The surface impedance of grounds with exponential porosity profiles, J. Acoust. Soc. Am. 99, 147–152 (1996)
K. Attenborough, I. Bashir, S. Taherzadeh: Outdoor ground impedance models, J. Acoust. Soc. Am. 129(5), 2806–2819 (2011)
K. Attenborough: Models for the acoustical properties of air-saturated granular materials, Acta Acust. 1, 213–226 (1993)
J.F. Allard: Propagation of Sound in Porous Media: Modelling Sound Absorbing Material (Elsevier, New York 1993)
D.L. Johnson, T.J. Plona, R. Dashen: Theory of dynamic permeability and tortuosity in fluid-saturated porous media, J. Fluid Mech. 176, 379–401 (1987)
O. Umnova, K. Attenborough, K.M. Li: Cell model calculations of dynamic drag parameters in packings of spheres, J. Acoust. Soc. Am. 107, 3113–3119 (2000)
K.V. Horoshenkov, K. Attenborough, S.N. Chandler-Wilde: Padé approximants for the acoustical properties of rigid frame porous media with pore size distribution, J. Acoust. Soc. Am. 104, 1198–1209 (1998)
T. Yamamoto, A. Turgut: Acoustic wave propagation through porous media with arbitrary pore size distributions, J. Acoust. Soc. Am. 83, 1744–1751 (1988)
ANSI/ASA S1.18-2010: American National Standard Method for Determining the Acoustic Impedance of Ground Surfaces (revision of S1.18-1998) (American National Standards Institute, 2010)
NORDTEST ACOU 104, Ground surfaces: Determination of acoustic impedance (1998), available online at www.nordicinnovation.net/nordtestfiler/acou104.pdf (last accessed 28 February 2011)
B.A. De Jong, A. Moerkerken, J.D. van der Toorn: Propagation of sound over grassland and over an earth barrier, J. Sound Vib. 86, 23–46 (1983)
S. Taherzadeh, K. Attenborough: Deduction of ground impedance from measurements of excess attenuation spectra, J. Acoust. Soc. Am. 105, 2039–2042 (1999)
K. Attenborough, T. Waters-Fuller: Effective impedance of rough porous ground surfaces, J. Acoust. Soc. Am. 108, 949–956 (2000)
P. Boulanger, K. Attenborough, S. Taherzadeh, T.F. Waters-Fuller, K.M. Li: Ground effect over hard rough surfaces, J. Acoust. Soc. Am. 104, 1474–1482 (1998)
K. Attenborough, S. Taherzadeh: Propagation from a point source over a rough finite impedance boundary, J. Acoust. Soc. Am. 98, 1717–1722 (1995)
K. Attenborough, K.M. Li, K. Horoshenkov: Predicting Outdoor Sound (Taylor and Francis, London 2007)
K. Attenborough, T. Waters-Fuller, K.M. Li, J.A. Lines: Acoustical properties of Farmland, J. Agric. Eng. Res. 76, 183–195 (2000)
I. Bashir, S. Taherzadeh, K. Attenborough: Diffraction assisted rough ground effect: Models and data, J. Acoust. Soc. Am. 133, 1281–1292 (2013)
D.E. Aylor: Noise reduction by vegetation and ground, J. Acoust. Soc. Am. 51, 197–205 (1972)
P.H. Parkin, W.E. Scholes: The horizontal propagation of sound from a jet close to the ground at Radlett, J. Sound Vib. 1, 1–13 (1965)
P.H. Parkin, W.E. Scholes: The horizontal propagation of sound from a jet close to the ground at Hatfield, J. Sound Vib. 2, 353–374 (1965)
O. Zaporozhets, V. Tokarev, K. Attenborough: Predicting Noise from Aircraft Operated on the Ground, Appl. Acoust. 64, 941–953 (2003)
C. Madshus, N.I. Nilsen: Low frequency vibration and noise from military blast activity –prediction and evaluation of annoyance, Proc. InterNoise 2000, Nice, France (2000)
E. Øhrstrøm: Community reaction to noise and vibrations from railway traffic, Proc. Internoise 1996, Liverpool U.K. (1996)
ISO 2631-2 (1998), Mechanical vibration and shock – Evaluation of human exposure to whole body vibration – Part 2: Vibration in buildings
W.M. Ewing, W.S. Jardetzky, F. Press: Elastic Waves in Layered Media (McGraw–Hill, New York 1957)
J.M. Sabatier, H.E. Bass, L.M. Bolen, K. Attenborough: Acoustically induced seismic waves, J. Acoust. Soc. Am. 80, 646–649 (1986)
S. Tooms, S. Taherzadeh, K. Attenborough: Sound propagating in a refracting fluid above a layered fluid saturated porous elastic material, J. Acoust. Soc. Am. 93, 173–181 (1993)
K. Attenborough: On the acoustic slow wave in air filled granular media, J. Acoust. Soc. Am. 81, 93–102 (1987)
R.D. Stoll: Theoretical aspects of sound transmission in sediments, J. Acoust. Soc. Am. 68(5), 1341–1350 (1980)
C. Madshus, F. Lovholt, A. Kaynia, L.R. Hole, K. Attenborough, S. Taherzadeh: Air–ground interaction in long range propagation of low frequency sound and vibration – field tests and model verification, Appl. Acoust. 66, 553–578 (2005)
G.A. Daigle, M.R. Stinson: Impedance of grass covered ground at low frequencies using a phase difference technique, J. Acoust. Soc. Am. 81, 62–68 (1987)
M.W. Sprague, R. Raspet, H.E. Bass, J.M. Sabatier: Low frequency acoustic ground impedance measurement techniques, Appl. Acoust. 39, 307–325 (1993)
D.E. Aylor: Sound transmission through vegetation in relation to leaf area density, leaf width and breadth of canopy, J. Acoust. Soc. Am. 51, 411–414 (1972)
J.V. Sanchez-Perez, C. Rubio, R. Martinez-Sala, R. Sanchez-Grandia, V. Gomez: Acoustic barriers based on periodic arrays of scatterers, Appl. Phys. Lett. 81, 5240–5242 (2002)
M.A. Price, K. Attenborough, N.W. Heap: Sound attenuation through trees: Measurements and Models, J. Acoust. Soc. Am. 84, 1836–1844 (1988)
J. Kragh: Road traffic noise attenuation by belts of trees and bushes, Danish Acoustical Laboratory Report no. 31 (1982)
L. R. Huddart: The use of vegetation for traffic noise screening, TRRL Research Report 238 (1990)
G.M. Heisler, O.H. McDaniel, K.K. Hodgdon, J.J. Portelli, S.B. Glesson: Highway noise abatement in two forests, Proc. NOISE-CON 87, PSU, USA (1987)
W.H.T. Huisman: Sound propagation over vegetation-covered ground. Ph.D. Thesis (Univ. Nijmegen, Nijmegen 1990)
J. Defrance, N. Barriere, E. Premat: Forest as a meteorological screen for traffic noise, Proc. 9th ICSV, Orlando (2002)
N. Barrière, Y. Gabillet: Sound propagation over a barrier with realistic wind gradients. Comparison of wind tunnel experiments with GFPE computations, Acust. Acta Acust. 85, 325–334 (1999)
N. Barrière: Etude théorique et expérimentale de la propagation du bruit de trafic en forêt. Ph.D. Thesis (Ecole Centrale de Lyon, France 1999)
M.E. Swearingen, M. White: Sound propagation through a forest: A predictive model, Proc. 11th LRSPS, Vermont (2004)
J.M. Wunderli, E.M. Salomons: A model to predict the sound reflection from forests, Acust. Acta Acust. 95, 76–85 (2009)
R. MartÃnez-Sala, C. Rubio, L.M. GarcÃa-Raffi, J.V. Sánchez-Pérez, E.A. Sánchez-Pérez, J. Llinares: Control of noise by trees arranged like sonic crystals, J. Sound Vib. 291, 100–106 (2006)
T. Van Renterghem, D. Botteldooren, K. Verheyen: Road traffic noise shielding by vegetation belts of limited depth, J. Sound Vib. 331(10), 2404–2425 (2012)
S. Taherzadeh, I. Bashir, K. Attenborough: Aperiodicity effects on sound transmission through arrays of identical cylinders perpendicular to the ground, J. Acoust. Soc. Am. 132(4), EL323–EL328 (2012)
I. Rudnick: Propagation of sound in open air. In: Handbook of Noise Control, Chap. 3, ed. by C.M. Harris (McGraw–Hill, New York 1957) pp. 3:1–3:17
K.M. Li: On the validity of the heuristic ray-trace based modification to the Weyl Van der Pol formula, J. Acoust. Soc. Am. 93, 1727–1735 (1993)
V. Zouboff, Y. Brunet, M. Berengier, E. Sechet: A qualitative approach of atmospherical effects on long range sound propagation, Proc. 6th Int. Symp. Long Range Sound Propagation, Ottawa, NRCC, ed. by D.I. Havelock, M. Stinson (1994) pp. 251–269
The propagation of noise from petroleum and petrochemical complexes to neighbouring communities, CONCAWE Report no.4/81, Den Haag (1981)
A.S. Monin, A.M. Yaglom: Statistical Fluid Mechanics: Mechanics of Turbulence, Vol. 1 (MIT press, Cambridge 1979)
R.B. Stull: An Introduction to Boundary Layer Meteorology (Kluwer, Dordrecht 1991) pp. 347–347
E.M. Salomons: Downwind propagation of sound in an atmosphere with a realistic sound speed profile: A semi-analytical ray model, J. Acoust. Soc. Am. 95, 2425–2436 (1994)
A.A.M. Holtslag: Estimates of diabatic wind speed profiles from near surface weather observations, Boundary-Layer Meteorol. 29, 225–250 (1984)
A.G. Davenport: Rationale for determining design wind velocities, J. Am. Soc. Civ. Eng. ST-86, 39–68 (1960)
E.M. Salomons, F.H. van den Berg, H.E.A. Brackenhoff: Long-term average sound transfer through the atmosphere based on meteorological statistics and numerical computations of sound propagation, Proc. 6th Int. Symp. Long Range Sound Propagation, Ottawa, NRCC, ed. by D.I. Havelock, M. Stinson (1994) pp. 209–228
D. Heimann, E. Salomons: Testing meteorological classifications for the prediction of long-term average sound levels, J. Am. Soc. Civ. Eng. 65, 925–950 (2004)
T.F.W. Embleton: Tutorial on sound propagation outdoors, J. Acoust. Soc. Am. 100, 31–48 (1996)
L.C. Sutherland, G.A. Daigle: Atmospheric sound propagation. In: Encylclopedia of Acoustics, ed. by M.J. Crocker (Wiley, New York 1998) pp. 305–329
M.R. Stinson, D.J. Havelock, G.A. Daigle: Simulation of scattering by turbulence into a shadow zone region using the GF-PE method, Proc. 6th LRSPS, Ottawa, NRCC (1996) pp. 283–307
D.K. Wilson: A brief tutorial on atmospheric boundary-layer turbulence for acousticians, Proc. 7th LRSPS, Ecole Centrale, Lyon (1996) pp. 111–122
D.K. Wilson, J.G. Brasseur, K.E. Gilbert: Acoustic scattering and the spectrum of atmospheric turbulence, J. Acoust. Soc. Am. 105, 30–34 (1999)
A. LʼEsperance, G.A. Daigle, Y. Gabillet: Estimation of linear sound speed gradients associated to general meteorological conditions, Proc. 6th LRSPS, Ottawa, NRCC (1996)
D.K. Wilson: On the application of turbulence spectral/correlation models to sound propagation in the atmosphere, Proc. 8th LRSPS, Penn State (1988)
V.E. Ostashev, D.K. Wilson: Relative contributions from temperature and wind velocity fluctuations to the statistical moments of a sound field in a turbulent atmosphere, Acust. Acta Acust. 86, 260–268 (2000)
S.F. Clifford, R.T. Lataitis: Turbulence effects on acoustic wave propagation over a smooth surface, J. Acoust. Soc. Am. 73, 1545–1550 (1983)
S. Taherzadeh, K. Attenborough: Using the Fast Field Program in a refracting, turbulent medium, Report 3 for ESDU International (unpublished) (1999)
K.E. Gilbert, R. Raspet, X. Di: Calculation of turbulence effects in an upward refracting atmosphere, J. Acoust. Soc. Am. 87(6), 2428–2437 (1990)
G.A. Daigle: Effects of atmospheric turbulence on the interference of sound waves above a finite impedance boundary, J. Acoust. Soc. Am. 65, 45–49 (1979)
E.M. Salomons: Reduction of the performance of a noise screen due to screen induced wind-speed gradients. Numerical computations and wind-tunnel experiments, J. Acoust. Soc. Am. 105, 2287–2293 (1999)
F.M. Weiner, D.N. Keast: Experimental study of the propagation of sound over ground, J. Acoust. Soc. Am. 31(6), 724–733 (1959)
E.M. Salomons, K.B. Rasmussen: Numerical computation of sound propagation over a noise screen based on an analytic approximation of the wind speed field, Appl. Acoust. 60, 327–341 (2000)
M. West, Y.W. Lam: Prediction of sound fields in the presence of terrain features which produce a range dependent meteorology using the generalised terrain parabolic equation (GT-PE) model, Proc. InterNoise 2000, Nice, France 2 (2000) pp. 943–
E.M. Salomons, R. Blumrich, D. Heimann: Eulerian time-domain model for sound propagation over a finite impedance ground surface. Comparison with frequency-domain models, Acust. Acta Acust. 88, 483–492 (2002)
R. Blumrich, D. Heimann: A linearized Eulerian sound propagation model for studies of complex meteorological effects, J. Acoust. Soc. Am. 112, 446–455 (2002)
T. Van Renterghem, D. Botteldooren: Numerical simulation of the effect of trees on down-wind noise barrier performance, Acust. Acta Acust. 89, 764–778 (2003)
T. Van Renterghem, D. Botteldooren: Effect of a row of trees behind noise barriers in wind, Acust. Acta Acust. 88, 869–878 (2002)
P. Boulanger, K. Attenborough: Effective impedance spectra for predicting rough sea effects on atmospheric impulsive sounds, J. Acoust. Soc. Am. 117, 751–762 (2005)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag
About this chapter
Cite this chapter
Attenborough, K. (2014). Sound Propagation in the Atmosphere. In: Rossing, T.D. (eds) Springer Handbook of Acoustics. Springer Handbooks. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0755-7_4
Download citation
DOI: https://doi.org/10.1007/978-1-4939-0755-7_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-0754-0
Online ISBN: 978-1-4939-0755-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)