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Outdoor Propagation Sound

Reference data and engineering information about outdoor propagation sound for acoustics applications.

outdoorpropagationsound

Overview

Engineering reference data for Outdoor Propagation Sound in acoustics.

Key Formulas

Speed of Sound

c=γRTc = \sqrt{\gamma R T}

Speed of sound in an ideal gas.

Sound Level

L=10log10(I/I0)L = 10 \log_{10}(I/I_0)

Decibel level.

Wavelength

λ=c/f\lambda = c / f

Wavelength = speed / frequency.

Variables

SymbolDescriptionUnit
ccSpeed of soundm/s
LLSound leveldB
λ\lambdaWavelengthm
ffFrequencyHz

Propagation Characteristics

Spherical Propagation (Q = 1) When sound radiates uniformly in all directions from a point source in free field (RR \approx \infty): Lp=LN20log10(r)11L_p = L_N - 20 \log_{10}(r) - 11

Hemi-Spherical Propagation (Q = 2) When the source is located near a single large reflecting surface (e.g., ground): Lp=LN20log10(r)8L_p = L_N - 20 \log_{10}(r) - 8

Distance Attenuation Rules:

  • Point Source: Sound level decreases by 6 dB when the distance doubles (20log10(2)620 \log_{10}(2) \approx 6).
  • Linear Source: Sound level decreases by 3 dB when the distance doubles (10log10(2)310 \log_{10}(2) \approx 3).

Directivity Coefficients

The directivity coefficient (QQ) describes the radiation pattern of the sound source.

3 rows
Directivity coefficients for common source placements.
Radiation Pattern
Directivity (Q)
Description
Spherical1Radiates uniformly in all directions (free field).
Hemi-Spherical2Radiates into a half-space (e.g., source on ground).
Quarter-Spherical4Radiates into a quarter-space (e.g., source in a corner).

Source: engineeringtoolbox.com

References