메뉴 건너뛰기




Volumn 129, Issue 6, 2011, Pages 3652-3660

A k-space Green's function solution for acoustic initial value problems in homogeneous media with power law absorption

Author keywords

[No Author keywords available]

Indexed keywords

CARTESIAN GRID; COMPUTATIONAL ASPECTS; EFFICIENT COMPUTATION; HOMOGENEOUS MEDIA; INITIAL CONDITIONS; K-SPACE; LAPLACIANS; LOSSLESS; POWER LAW; PRESSURE FIELD; SINGLE-STEP; STABILITY CONSTRAINTS; TEMPORAL DERIVATIVES; THREE DIMENSIONS; TIME-STEPPING; TRUNCATED FOURIER SERIES;

EID: 79959440298     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3583537     Document Type: Article
Times cited : (34)

References (34)
  • 1
    • 84958125087 scopus 로고    scopus 로고
    • Attenuation and Absorption
    • in, edited by C. R. Hill, J. C. Bamber, and G. R. ter Haar (John Wiley, Chichester)
    • J. C. Bamber, Attenuation and Absorption., in Physical Principles of Medical Ultrasonics, edited by, C. R. Hill, J. C. Bamber, and, G. R. ter Haar, (John Wiley, Chichester, 2004), pp. 93-166.
    • (2004) Physical Principles of Medical Ultrasonics , pp. 93-166
    • Bamber, J.C.1
  • 2
    • 0030691982 scopus 로고    scopus 로고
    • Theory of acoustic attenuation, dispersion, and pulse propagation in unconsolidated granular materials including marine sediments
    • DOI 10.1121/1.420313
    • M. J. Buckingham, Theory of acoustic attenuation, dispersion, and pulse propagation in unconsolidated granular materials including marine sediments., J. Acoust. Soc. Am. 102, 2579-2596 (1997). 10.1121/1.420313 (Pubitemid 27486236)
    • (1997) Journal of the Acoustical Society of America , vol.102 , Issue.I5 , pp. 2579-2596
    • Buckingham, M.J.1
  • 3
    • 27244437249 scopus 로고    scopus 로고
    • Causality, Stokes’ wave equation, and acoustic pulse propagation in a viscous fluid
    • DOI 10.1103/PhysRevE.72.026610, 026610
    • M. J. Buckingham, Causality, Stokes' wave equation, and acoustic pulse propagation in a viscous fluid., Phys. Rev. E 72, 026610 (2005). 10.1103/PhysRevE.72.026610 (Pubitemid 41520883)
    • (2005) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.72 , Issue.2 , pp. 1-9
    • Buckingham, M.J.1
  • 4
    • 77956256476 scopus 로고    scopus 로고
    • Modeling power law absorption and dispersion for acoustic propagation using the fractional Laplacian
    • 10.1121/1.3377056
    • B. E. Treeby and B. T. Cox, Modeling power law absorption and dispersion for acoustic propagation using the fractional Laplacian., J. Acoust. Soc. Am. 127, 2741-2748 (2010). 10.1121/1.3377056
    • (2010) J. Acoust. Soc. Am. , vol.127 , pp. 2741-2748
    • Treeby, B.E.1    Cox, B.T.2
  • 5
    • 0028292355 scopus 로고
    • Time domain wave equations for lossy media obeying a frequency power law
    • DOI 10.1121/1.410434
    • T. L. Szabo, Time domain wave equations for lossy media obeying a frequency power law., J. Acoust. Soc. Am. 96, 491-500 (1994). 10.1121/1.410434 (Pubitemid 24209147)
    • (1994) Journal of the Acoustical Society of America , vol.96 , Issue.1 , pp. 491-500
    • Szabo, T.L.1
  • 6
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent-II
    • 10.1111/j.1365-246X.1967.tb02303.x
    • M. Caputo, Linear models of dissipation whose Q is almost frequency independent-II., Geophys. J. Int. 13, 529-539 (1967). 10.1111/j.1365-246X.1967. tb02303.x
    • (1967) Geophys. J. Int. , vol.13 , pp. 529-539
    • Caputo, M.1
  • 7
    • 0242693197 scopus 로고    scopus 로고
    • Modified Szabo's wave equation models for lossy media obeying frequency power law
    • DOI 10.1121/1.1621392
    • W. Chen and S. Holm, Modified Szabo's wave equation models for lossy media obeying frequency power law., J. Acoust. Soc. Am. 114, 2570-2574 (2003). 10.1121/1.1621392 (Pubitemid 37371615)
    • (2003) Journal of the Acoustical Society of America , vol.114 , Issue.5 , pp. 2570-2574
    • Chen, W.1    Holm, S.2
  • 8
    • 9644281076 scopus 로고    scopus 로고
    • Full wave modeling of therapeutic ultrasound: Efficient time-domain implementation of the frequency power-law attenuation
    • DOI 10.1121/1.1798355
    • M. Liebler, S. Ginter, T. Dreyer, and R. E. Riedlinger, Full wave modeling of therapeutic ultrasound: Efficient time-domain implementation of the frequency power-law attenuation., J. Acoust. Soc. Am. 116, 2742-2750 (2004). 10.1121/1.1798355 (Pubitemid 39575522)
    • (2004) Journal of the Acoustical Society of America , vol.116 , Issue.5 , pp. 2742-2750
    • Liebler, M.1    Ginter, S.2    Dreyer, T.3    Riedlinger, R.E.4
  • 9
    • 33845373149 scopus 로고    scopus 로고
    • Finite element analysis of broadband acoustic pulses through inhomogenous media with power law attenuation
    • DOI 10.1121/1.2354032
    • M. G. Wismer, Finite element analysis of broadband acoustic pulses through inhomogenous media with power law attenuation., J. Acoust. Soc. Am. 120, 3493-3502 (2006). 10.1121/1.2354032 (Pubitemid 44888049)
    • (2006) Journal of the Acoustical Society of America , vol.120 , Issue.6 , pp. 3493-3502
    • Wismer, M.G.1
  • 10
    • 56749132453 scopus 로고    scopus 로고
    • Analytical time-domain Green's functions for power-law media
    • 10.1121/1.2977669
    • J. F. Kelly, R. J. McGough, and M. M. Meerschaert, Analytical time-domain Green's functions for power-law media., J. Acoust. Soc. Am. 124, 2861-2872 (2008). 10.1121/1.2977669
    • (2008) J. Acoust. Soc. Am. , vol.124 , pp. 2861-2872
    • Kelly, J.F.1    McGough, R.J.2    Meerschaert, M.M.3
  • 11
    • 1642641759 scopus 로고    scopus 로고
    • Fractional Laplacian time-space models for linear and nonlinear lossy media exhibiting arbitrary frequency power-law dependency
    • DOI 10.1121/1.1646399
    • W. Chen and S. Holm, Fractional Laplacian time-space models for linear and nonlinear lossy media exhibiting arbitrary frequency power-law dependency., J. Acoust. Soc. Am. 115, 1424-1430 (2004). 10.1121/1.1646399 (Pubitemid 38451295)
    • (2004) Journal of the Acoustical Society of America , vol.115 , Issue.4 , pp. 1424-1430
    • Chen, W.1    Holm, S.2
  • 12
    • 0038282854 scopus 로고    scopus 로고
    • Including dispersion and attenuation directly in the time domain for wave propagation in isotropic media
    • DOI 10.1121/1.1572143
    • G. V. Norton and J. C. Novarini, Including dispersion and attenuation directly in the time domain for wave propagation in isotropic media., J. Acoust. Soc. Am. 113, 3024-3031 (2003). 10.1121/1.1572143 (Pubitemid 36676494)
    • (2003) Journal of the Acoustical Society of America , vol.113 , Issue.6 , pp. 3024-3031
    • Norton, G.V.1    Novarini, J.C.2
  • 13
    • 12344333548 scopus 로고    scopus 로고
    • Including dispersion and attenuation in time domain modeling of pulse propagation in spatially-varying media
    • DOI 10.1142/S0218396X04002389
    • G. V. Norton and J. C. Novarini, Including dispersion and attenuation in time domain modelling of pulse propagation in spatially-varying media., J. Comput. Acoust. 12, 501-519 (2004). 10.1142/S0218396X04002389 (Pubitemid 40131447)
    • (2004) Journal of Computational Acoustics , vol.12 , Issue.4 , pp. 501-519
    • Norton, G.V.1    Novarini, J.C.2
  • 15
    • 4143051451 scopus 로고    scopus 로고
    • The material impulse response for broadband pulses in lossy media
    • in.
    • T. L. Szabo, The material impulse response for broadband pulses in lossy media., in Proc. IEEE Ultrasonics Symp. 1, 748-751.
    • Proc. IEEE Ultrasonics Symp. , vol.1 , pp. 748-751
    • Szabo, T.L.1
  • 17
    • 20444404978 scopus 로고    scopus 로고
    • Fast calculation of pulsed photoacoustic fields in fluids using k-space methods
    • DOI 10.1121/1.1920227
    • B. T. Cox and P. C. Beard, Fast calculation of pulsed photoacoustic fields in fluids using k-space methods., J. Acoust. Soc. Am. 117, 3616-3627 (2005). 10.1121/1.1920227 (Pubitemid 40807399)
    • (2005) Journal of the Acoustical Society of America , vol.117 , Issue.6 , pp. 3616-3627
    • Cox, B.T.1    Beard, P.C.2
  • 18
    • 85054283169 scopus 로고    scopus 로고
    • Modeling photoacoustic propagation in tissue using k-space techniques
    • in, edited by L. V. Wang (CRC Press, Boca Raton)
    • B. T. Cox and P. C. Beard, Modeling photoacoustic propagation in tissue using k-space techniques., in Photoacoustic Imaging and Spectroscopy, edited by, L. V. Wang, (CRC Press, Boca Raton, 2009), pp. 25-34.
    • (2009) Photoacoustic Imaging and Spectroscopy , pp. 25-34
    • Cox, B.T.1    Beard, P.C.2
  • 19
    • 0033889221 scopus 로고    scopus 로고
    • On the applicability of Kramers-Kronig relations for ultrasonic attenuation obeying a frequency power law
    • DOI 10.1121/1.429586, PII S0001496600031076
    • K. R. Waters, M. S. Hughes, J. Mobley, G. H. Brandenburger, and J. G. Miller, On the applicability of Kramers-Kronig relations for ultrasonic attenuation obeying a frequency power law., J. Acoust. Soc. Am. 108, 556-563 (2000). 10.1121/1.429586 (Pubitemid 30625878)
    • (2000) Journal of the Acoustical Society of America , vol.108 , Issue.2 , pp. 556-563
    • Waters, K.R.1    Hughes, M.S.2    Mobley, J.3    Brandenburger, G.H.4    Miller, J.G.5
  • 22
    • 0020169511 scopus 로고
    • The k-space formulation of the scattering problem in the time domain
    • 10.1121/1.388038
    • N. N. Bojarski, The k-space formulation of the scattering problem in the time domain., J. Acoust. Soc. Am. 72, 570-584 (1982). 10.1121/1.388038
    • (1982) J. Acoust. Soc. Am. , vol.72 , pp. 570-584
    • Bojarski, N.N.1
  • 23
    • 66249146076 scopus 로고    scopus 로고
    • Fast, tissue-realistic models of photoacoustic wave propagation for homogeneous attenuating media
    • 10.1117/12.806794
    • B. E. Treeby and B. T. Cox, Fast, tissue-realistic models of photoacoustic wave propagation for homogeneous attenuating media., Proc. SPIE, 7177, 717716 (2009). 10.1117/12.806794
    • (2009) Proc. SPIE , vol.7177 , pp. 717716
    • Treeby, B.E.1    Cox, B.T.2
  • 24
    • 0032115103 scopus 로고    scopus 로고
    • The pseudospectral time-domain (PSTD) algorithm for acoustic waves in absorptive media
    • Q. H. Liu, The pseudospectral time-domain (PSTD) algorithm for acoustic waves in absorptive media., IEEE Trans. Ultrason. Ferroelectr. Freq. Control 45, 1044-1055 (1998). 10.1109/58.660157 (Pubitemid 128748766)
    • (1998) IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control , vol.45 , Issue.4 , pp. 1044-1055
    • Liu, Q.H.1
  • 25
    • 0020115503 scopus 로고
    • Forward and backward projection of acoustic fields using FFT methods
    • 10.1121/1.387606
    • P. Stepanishen and K. Benjamin, Forward and backward projection of acoustic fields using FFT methods., J. Acoust. Soc. Am. 71, 803 (1982). 10.1121/1.387606
    • (1982) J. Acoust. Soc. Am. , vol.71 , pp. 803
    • Stepanishen, P.1    Benjamin, K.2
  • 28
    • 77956640945 scopus 로고    scopus 로고
    • K-Wave: MATLAB toolbox for the simulation and reconstruction of photoacoustic wave-fields
    • 10.1117/1.3360308
    • B. E. Treeby and B. T. Cox, k-Wave: MATLAB toolbox for the simulation and reconstruction of photoacoustic wave-fields., J. Biomed. Opt. 15, 021314 (2010). 10.1117/1.3360308
    • (2010) J. Biomed. Opt. , vol.15 , pp. 021314
    • Treeby, B.E.1    Cox, B.T.2
  • 29
    • 0004136180 scopus 로고    scopus 로고
    • (Society for Industrial and Applied Mathematics, Philadelphia)
    • L. Trefethen, Spectral Methods in MATLAB (Society for Industrial and Applied Mathematics, Philadelphia, 2000), pp. 9-27.
    • (2000) Spectral Methods in MATLAB , pp. 9-27
    • Trefethen, L.1
  • 31
    • 68549104012 scopus 로고    scopus 로고
    • An analytical derivation of the optimum source patterns for the pseudospectral time-domain method
    • 10.1016/j.jc2009.06.033
    • Z. Lin and L. Thylén, An analytical derivation of the optimum source patterns for the pseudospectral time-domain method., J. Comput. Phys. 228, 7375-7387 (2009). 10.1016/j.jcp.2009.06.033
    • (2009) J. Comput. Phys. , vol.228 , pp. 7375-7387
    • Lin, Z.1    Thylén, L.2
  • 32
    • 11944275904 scopus 로고    scopus 로고
    • A compact wave source condition for the pseudospectral time-domain method
    • DOI 10.1109/LAWP.2004.835754
    • T.-W. Lee and S. C. Hagness, A compact wave source condition for the pseudospectral time-domain method., IEEE Antenn. Wireless Propag. Lett. 3, 253-256 (2004). 10.1109/LAWP.2004.835754 (Pubitemid 40099865)
    • (2004) IEEE Antennas and Wireless Propagation Letters , vol.3 , Issue.1 , pp. 253-256
    • Lee, T.-W.1    Hagness, S.C.2
  • 33
    • 77949801016 scopus 로고    scopus 로고
    • Quantitative determination of chromophore concentrations from 2D photoacoustic images using a nonlinear model-based inversion scheme
    • 10.1364/AO.49.001219
    • J. Laufer, B. Cox, E. Zhang, and P. Beard, Quantitative determination of chromophore concentrations from 2D photoacoustic images using a nonlinear model-based inversion scheme., Appl. Opt. 49, 1-15 (2010). 10.1364/AO.49.001219
    • (2010) Appl. Opt. , vol.49 , pp. 1-15
    • Laufer, J.1    Cox, B.2    Zhang, E.3    Beard, P.4
  • 34
    • 78049419469 scopus 로고    scopus 로고
    • Photoacoustic tomography in absorbing acoustic media using time reversal
    • 10.1088/0266-5611/26/11/115003
    • B. E. Treeby, E. Z. Zhang, and B. T. Cox, Photoacoustic tomography in absorbing acoustic media using time reversal., Inverse Probl. 26, 115003 (2010). 10.1088/0266-5611/26/11/115003
    • (2010) Inverse Probl. , vol.26 , pp. 115003
    • Treeby, B.E.1    Zhang, E.Z.2    Cox, B.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.