TY - JOUR

T1 - Erratum

T2 - mSOUND: An Open Source Toolbox for Modeling Acoustic Wave Propagation in Heterogeneous Media (IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control (2021) 68:5 (1476-1486) DOI: 10.1109/TUFFC.2021.3051729)

AU - Gu, Juanjuan

AU - Jing, Yun

N1 - Funding Information:
Manuscript received May 1, 2021; accepted June 18, 2021. Date of publication June 21, 2021; date of current version September 27, 2021. This work was supported by the U.S. National Institutes of Health under Grant R01EB025205. (Corresponding author: Yun Jing.) Juanjuan Gu was with the Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC 27695 USA. He is now with the Department of Physiology and Biomedical Engineering, Mayo Clinic College of Medicine, Rochester, MN 55905 USA.
Publisher Copyright:
© 1986-2012 IEEE.

PY - 2021/10

Y1 - 2021/10

N2 - IN THE above article [1], the authors regret that there were some mistakes pertaining to (1)–(3) and (5). Equation (1) was expressed as: (Formula Presented). It should be instead written as in the following by adding an additional term to the right-hand side of the equation: (Formula Presented) where the frequency-independent absorption term γ δp/δt accounts for the absorption layer close to the computational boundary [2] and γ = γmax/ cosh2 (γn) (γmax is a constant, α is a decay factor, and n denotes the distance in number of grid points from the boundary). The sound diffusivity δ in (1) was defined as δ = v(4/3 + μB/μ+(γ−1)/Pr ), where γ was the ratio of specific heats. To avoid confusion on γ, now the sound diffusivity is defined as γ= v(4/3+μB/μ+(γr −1)/Pr), where γr is the ratio of specific heats. Furthermore, (2) was expressed as (Formula Presented). It should be instead written as in the following by adding an absorption layer term on the RHS of the equation: (Formula Presented). Equations (3) and (5) are also missing the term related to the density variation of the medium. The revised equations are as follows: (Formula Presented). Finally, in the original article, page 1479, the word “medium” in the sentence “medium is also a structure containing spatially distributed speed of sound...” should be in the font dedicated to designate computer codes, i.e., medium.

AB - IN THE above article [1], the authors regret that there were some mistakes pertaining to (1)–(3) and (5). Equation (1) was expressed as: (Formula Presented). It should be instead written as in the following by adding an additional term to the right-hand side of the equation: (Formula Presented) where the frequency-independent absorption term γ δp/δt accounts for the absorption layer close to the computational boundary [2] and γ = γmax/ cosh2 (γn) (γmax is a constant, α is a decay factor, and n denotes the distance in number of grid points from the boundary). The sound diffusivity δ in (1) was defined as δ = v(4/3 + μB/μ+(γ−1)/Pr ), where γ was the ratio of specific heats. To avoid confusion on γ, now the sound diffusivity is defined as γ= v(4/3+μB/μ+(γr −1)/Pr), where γr is the ratio of specific heats. Furthermore, (2) was expressed as (Formula Presented). It should be instead written as in the following by adding an absorption layer term on the RHS of the equation: (Formula Presented). Equations (3) and (5) are also missing the term related to the density variation of the medium. The revised equations are as follows: (Formula Presented). Finally, in the original article, page 1479, the word “medium” in the sentence “medium is also a structure containing spatially distributed speed of sound...” should be in the font dedicated to designate computer codes, i.e., medium.

UR - http://www.scopus.com/inward/record.url?scp=85112476461&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85112476461&partnerID=8YFLogxK

U2 - 10.1109/TUFFC.2021.3091311

DO - 10.1109/TUFFC.2021.3091311

M3 - Comment/debate

C2 - 34152984

AN - SCOPUS:85112476461

VL - 68

SP - 3257

JO - IEEE Transactions on Sonics and Ultrasonics

JF - IEEE Transactions on Sonics and Ultrasonics

SN - 0885-3010

IS - 10

ER -