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. Author manuscript; available in PMC: 2022 May 25.
Published in final edited form as: J Acoust Soc Am. 2010 Oct;128(4):2191–2203. doi: 10.1121/1.3478779
ω = 2πf and f is the ultrasound frequency,
Aj includes the effects of transmission through boundaries,
αj(ω) = attenuation coefficient = βj ω / 2π,
βj = attenuation coefficient slope
vj(ω) = phase velocity,
d = sample thickness,
c = speed of sound in water,