Exponentially Decaying Traveling Waves
Let denote the decay factor associated with propagation of a plane wave over distance at frequency rad/sec. For an ideal plane wave, there is no ``spreading loss'' (attenuation by ). Under uniform conditions, the amount of attenuation (in dB) is proportional to the distance traveled; in other words, the attenuation factors for two successive segments of a propagation path are multiplicative:
Frequency-independent air absorption is easily modeled in an acoustic simulation by making the substitution
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