In
acoustics, the 'sound speed gradient' is the rate of change of the
speed of sound with distance, for example with depth in the
ocean,
[ Navy Supplement to the DOD Dictionary of Military and Associated Terms, , , , Department Of The Navy, 2006, NTRP 1-02 ]
or height in the
Earth's atmosphere. A sound speed gradient leads to
refraction of sound
wavefronts in the direction of lower sound speed, causing the sound rays to follow a curved path. The radius of curvature of the sound path is inversely proportional to the gradient.
[1]
When the sun warms the Earth's surface, there is a negative
temperature gradient in atmosphere. The
speed of sound decreases with decreasing temperature, so this also creates a negative sound speed gradient.
[ Sound Reinforcement Engineering, , Wolfgang, Ahnert, Taylor & Francis, 1999, ] The sound wave front travels faster near the ground, so the sound is
refracted upward, away from listeners on the ground, creating an
acoustic shadow at some distance from the source.
[2] The opposite effect happens when the ground is covered with snow, or in the morning over water, when the sound speed gradient is positive. In this case, sound waves can be refracted from the upper levels down to the surface.
In underwater acoustics, when there is a zero sound speed gradient, values of sound speed have the same "isospeed" in all parts of a given water column (there is no change in sound speed with depth). The same effect happens in an isothermal atmosphere with the ideal gas assumption.
References
1. Noise Control, , J. S., Lamancusa, Penn State University, 2000,
2. The Master Handbook of Acoustics, , F., Everest, McGraw-Hill, 2001,
See also
★ SOFAR channel
★ Wind gradient