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Volumn 127, Issue 5, 2010, Pages 2741-2748

Modeling power law absorption and dispersion for acoustic propagation using the fractional Laplacian

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC PROPAGATION; BIOMEDICAL ULTRASONICS; DERIVATIVE OPERATORS; EFFICIENT SIMULATION; FIRST-ORDER; FOURIER; FRACTIONAL OPERATORS; K-SPACE METHOD; LAPLACIANS; LOSSY MEDIA; MODELING POWER; POWER LAW; PRESSURE FIELD; PSEUDOSPECTRAL; THREE DIMENSIONAL SIMULATIONS; THREE-DIMENSIONAL PROBLEMS; TIME DOMAIN; TIME STEP;

EID: 77956256476     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3377056     Document Type: Article
Times cited : (323)

References (39)
  • 2
    • 0020169511 scopus 로고
    • The k-space formulation of the scattering problem in the time domain
    • 0001-4966. 10.1121/1.388038
    • N. N. Bojarski, " The k-space formulation of the scattering problem in the time domain.," J. Acoust. Soc. Am. 0001-4966 72, 570-584 (1982). 10.1121/1.388038
    • (1982) J. Acoust. Soc. Am. , vol.72 , pp. 570-584
    • Bojarski, N.N.1
  • 4
    • 33947118735 scopus 로고    scopus 로고
    • High intensity focused ultrasound: Physical principles and devices
    • 0265-6736. 10.1080/02656730601186138
    • G. ter Haar and C. Coussios, " High intensity focused ultrasound: Physical principles and devices.," Int. J. Hyperthermia 0265-6736 23, 89-104 (2007). 10.1080/02656730601186138
    • (2007) Int. J. Hyperthermia , vol.23 , pp. 89-104
    • Ter Haar, G.1    Coussios, C.2
  • 6
    • 76249088061 scopus 로고    scopus 로고
    • Artifact trapping during time reversal photoacoustic imaging for acoustically heterogeneous media
    • 0278-0062. 10.1109/TMI.2009.2032358
    • B. T. Cox and B. E. Treeby, " Artifact trapping during time reversal photoacoustic imaging for acoustically heterogeneous media.," IEEE Trans. Med. Imaging 0278-0062 29, 387-396 (2010). 10.1109/TMI.2009.2032358
    • (2010) IEEE Trans. Med. Imaging , vol.29 , pp. 387-396
    • Cox, B.T.1    Treeby, B.E.2
  • 7
    • 77949801016 scopus 로고    scopus 로고
    • Quantitative determination of chromophore concentrations from 2D photoacoustic images using a nonlinear model-based inversion scheme
    • 0003-6935. 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. 0003-6935 49, 1219-1233 (2010). 10.1364/AO.49.001219
    • (2010) Appl. Opt. , vol.49 , pp. 1219-1233
    • Laufer, J.1    Cox, B.2    Zhang, E.3    Beard, P.4
  • 8
    • 0000074782 scopus 로고
    • Absorption of sound in fluids
    • 0034-6861. 10.1103/RevModPhys.23.353
    • J. J. Markham, R. T. Beyer, and R. B. Lindsay, " Absorption of sound in fluids.," Rev. Mod. Phys. 0034-6861 23, 353-411 (1951). 10.1103/RevModPhys.23.353
    • (1951) Rev. Mod. Phys. , vol.23 , pp. 353-411
    • Markham, J.J.1    Beyer, R.T.2    Lindsay, R.B.3
  • 9
    • 0028292355 scopus 로고
    • Time domain wave equations for lossy media obeying a frequency power law
    • 0001-4966. 10.1121/1.410434
    • T. L. Szabo, " Time domain wave equations for lossy media obeying a frequency power law.," J. Acoust. Soc. Am. 0001-4966 96, 491-500 (1994). 10.1121/1.410434
    • (1994) J. Acoust. Soc. Am. , vol.96 , pp. 491-500
    • Szabo, T.L.1
  • 10
    • 0242693197 scopus 로고    scopus 로고
    • Modified Szabos wave equation models for lossy media obeying frequency power law
    • 0001-4966. 10.1121/1.1621392
    • W. Chen and S. Holm, " Modified Szabos wave equation models for lossy media obeying frequency power law.," J. Acoust. Soc. Am. 0001-4966 114, 2570-2574 (2003). 10.1121/1.1621392
    • (2003) J. Acoust. Soc. Am. , vol.114 , pp. 2570-2574
    • Chen, W.1    Holm, S.2
  • 11
    • 9644281076 scopus 로고    scopus 로고
    • Full wave modeling of therapeutic ultrasound: Efficient time-domain implementation of the frequency power-law attenuation
    • 0001-4966. 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. 0001-4966 116, 2742-2750 (2004). 10.1121/1.1798355
    • (2004) J. Acoust. Soc. Am. , vol.116 , pp. 2742-2750
    • Liebler, M.1    Ginter, S.2    Dreyer, T.3    Riedlinger, R.E.4
  • 12
    • 56749132453 scopus 로고    scopus 로고
    • Analytical time-domain Greens functions for power-law media
    • 0001-4966. 10.1121/1.2977669
    • J. F. Kelly, R. J. McGough, and M. M. Meerschaert, " Analytical time-domain Greens functions for power-law media.," J. Acoust. Soc. Am. 0001-4966 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
  • 13
    • 0030691982 scopus 로고    scopus 로고
    • Theory of acoustic attenuation, dispersion, and pulse propagation in unconsolidated granular materials including marine sediments
    • 0001-4966. 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. 0001-4966 102, 2579-2596 (1997). 10.1121/1.420313
    • (1997) J. Acoust. Soc. Am. , vol.102 , pp. 2579-2596
    • Buckingham, M.J.1
  • 14
    • 1642641759 scopus 로고    scopus 로고
    • Fractional Laplacian time-space models for linear and nonlinear lossy media exhibiting arbitrary frequency power-law dependency
    • 0001-4966. 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. 0001-4966 115, 1424-1430 (2004). 10.1121/1.1646399
    • (2004) J. Acoust. Soc. Am. , vol.115 , pp. 1424-1430
    • Chen, W.1    Holm, S.2
  • 15
    • 33845373149 scopus 로고    scopus 로고
    • Finite element analysis of broadband acoustic pulses through inhomogenous media with power law attenuation
    • 0001-4966. 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. 0001-4966 120, 3493-3502 (2006). 10.1121/1.2354032
    • (2006) J. Acoust. Soc. Am. , vol.120 , pp. 3493-3502
    • Wismer, M.G.1
  • 16
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent-II
    • 0956-540X. 10.1111/j.1365-246X.1967.tb02303.x
    • M. Caputo, " Linear models of dissipation whose Q is almost frequency independent-II.," Geophys. J. Int. 0956-540X 13, 529-539 (1967). 10.1111/j.1365-246X.1967.tb02303.x
    • (1967) Geophys. J. Int. , vol.13 , pp. 529-539
    • Caputo, M.1
  • 17
    • 0027146124 scopus 로고
    • Representation of the absorption of nonlinear waves by fractional derivatives
    • 0001-4966. 10.1121/1.407192
    • M. Ochmann and S. Makarov, " Representation of the absorption of nonlinear waves by fractional derivatives.," J. Acoust. Soc. Am. 0001-4966 94, 3392-3399 (1993). 10.1121/1.407192
    • (1993) J. Acoust. Soc. Am. , vol.94 , pp. 3392-3399
    • Ochmann, M.1    Makarov, S.2
  • 18
    • 0000480754 scopus 로고
    • Generalized Burgers equation for plane waves
    • 0001-4966. 10.1121/1.391778
    • D. T. Blackstock, " Generalized Burgers equation for plane waves.," J. Acoust. Soc. Am. 0001-4966 77, 2050-2053 (1985). 10.1121/1.391778
    • (1985) J. Acoust. Soc. Am. , vol.77 , pp. 2050-2053
    • Blackstock, D.T.1
  • 20
    • 0032136257 scopus 로고    scopus 로고
    • Physical and geometrical interpretation of fractional operators
    • 0016-0032. 10.1016/S0016-0032(97)00048-3
    • M. Moshrefi-Torbati and J. K. Hammond, " Physical and geometrical interpretation of fractional operators.," J. Franklin Inst. 0016-0032 335, 1077-1086 (1998). 10.1016/S0016-0032(97)00048-3
    • (1998) J. Franklin Inst. , vol.335 , pp. 1077-1086
    • Moshrefi-Torbati, M.1    Hammond, J.K.2
  • 21
    • 1842530332 scopus 로고    scopus 로고
    • Frequency-domain wave equation and its time-domain solutions in attenuating media
    • 0001-4966. 10.1121/1.1675817
    • N. V. Sushilov and R. S. C. Cobbold, " Frequency-domain wave equation and its time-domain solutions in attenuating media.," J. Acoust. Soc. Am. 0001-4966 115, 1431-1436 (2004). 10.1121/1.1675817
    • (2004) J. Acoust. Soc. Am. , vol.115 , pp. 1431-1436
    • Sushilov, N.V.1    Cobbold, R.S.C.2
  • 22
    • 0025036253 scopus 로고
    • An equation for acoustic propagation in inhomogeneous media with relaxation losses
    • 0001-4966. 10.1121/1.400317
    • A. I. Nachman, J. F. Smith III, and R. C. Waag, " An equation for acoustic propagation in inhomogeneous media with relaxation losses.," J. Acoust. Soc. Am. 0001-4966 88, 1584-1595 (1990). 10.1121/1.400317
    • (1990) J. Acoust. Soc. Am. , vol.88 , pp. 1584-1595
    • Nachman, A.I.1    Smith Iii, J.F.2    Waag, R.C.3
  • 23
    • 0029409111 scopus 로고
    • An explicit numerical time domain formulation to simulate pulsed pressure waves in viscous fluids exhibiting arbitrary frequency power law attenuation
    • 0885-3010. 10.1109/58.476548
    • M. G. Wismer and R. Ludwig, " An explicit numerical time domain formulation to simulate pulsed pressure waves in viscous fluids exhibiting arbitrary frequency power law attenuation.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 42, 1040-1049 (1995). 10.1109/58.476548
    • (1995) IEEE Trans. Ultrason. Ferroelectr. Freq. Control , vol.42 , pp. 1040-1049
    • Wismer, M.G.1    Ludwig, R.2
  • 24
    • 0033624265 scopus 로고    scopus 로고
    • Numerical simulation of ultrasound-thermotherapy combining nonlinear wave propagation with broadband soft-tissue absorption
    • 0041-624X. 10.1016/S0041-624X(00)00012-3
    • S. Ginter, " Numerical simulation of ultrasound-thermotherapy combining nonlinear wave propagation with broadband soft-tissue absorption.," Ultrasonics 0041-624X 37, 693-696 (2000). 10.1016/S0041-624X(00)00012-3
    • (2000) Ultrasonics , vol.37 , pp. 693-696
    • Ginter, S.1
  • 25
    • 0038282854 scopus 로고    scopus 로고
    • Including dispersion and attenuation directly in the time domain for wave propagation in isotropic media
    • 0001-4966. 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. 0001-4966 113, 3024-3031 (2003). 10.1121/1.1572143
    • (2003) J. Acoust. Soc. Am. , vol.113 , pp. 3024-3031
    • Norton, G.V.1    Novarini, J.C.2
  • 26
    • 0032762691 scopus 로고    scopus 로고
    • Simulation of acoustic wave propagation in dispersive media with relaxation losses by using FDTD method with PML absorbing boundary condition
    • 0885-3010. 10.1109/58.741419
    • X. Yuan, D. Borup, J. Wiskin, M. Berggren, and S. A. Johnson, " Simulation of acoustic wave propagation in dispersive media with relaxation losses by using FDTD method with PML absorbing boundary condition.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 46, 14-23 (1999). 10.1109/58.741419
    • (1999) IEEE Trans. Ultrason. Ferroelectr. Freq. Control , vol.46 , pp. 14-23
    • Yuan, X.1    Borup, D.2    Wiskin, J.3    Berggren, M.4    Johnson, S.A.5
  • 27
    • 0036150297 scopus 로고    scopus 로고
    • A k-space method for coupled first-order acoustic propagation equations
    • 0001-4966. 10.1121/1.1421344
    • M. Tabei, T. D. Mast, and R. C. Waag, " A k-space method for coupled first-order acoustic propagation equations.," J. Acoust. Soc. Am. 0001-4966 111, 53-63 (2002). 10.1121/1.1421344
    • (2002) J. Acoust. Soc. Am. , vol.111 , pp. 53-63
    • Tabei, M.1    Mast, T.D.2    Waag, R.C.3
  • 28
    • 70349149456 scopus 로고    scopus 로고
    • A k-space method for acoustic propagation using coupled first-order equations in three dimensions
    • 0001-4966. 10.1121/1.3158857
    • J. C. Tillett, M. I. Daoud, J. C. Lacefield, and R. C. Waag, " A k-space method for acoustic propagation using coupled first-order equations in three dimensions.," J. Acoust. Soc. Am. 0001-4966 126, 1231-1244 (2009). 10.1121/1.3158857
    • (2009) J. Acoust. Soc. Am. , vol.126 , pp. 1231-1244
    • Tillett, J.C.1    Daoud, M.I.2    Lacefield, J.C.3    Waag, R.C.4
  • 29
    • 70350510634 scopus 로고    scopus 로고
    • Distributed three-dimensional simulation of B-mode ultrasound imaging using a first-order k-space method
    • 0031-9155. 10.1088/0031-9155/54/17/007
    • M. I. Daoud and J. C. Lacefield, " Distributed three-dimensional simulation of B-mode ultrasound imaging using a first-order k-space method.," Phys. Med. Biol. 0031-9155 54, 5173 (2009). 10.1088/0031-9155/54/ 17/007
    • (2009) Phys. Med. Biol. , vol.54 , pp. 5173
    • Daoud, M.I.1    Lacefield, J.C.2
  • 30
    • 66249146076 scopus 로고    scopus 로고
    • Fast, tissue-realistic models of photoacoustic wave propagation for homogeneous attenuating media
    • in (SPIE, San Jose, CA), Vol. No.
    • B. E. Treeby and B. T. Cox, " Fast, tissue-realistic models of photoacoustic wave propagation for homogeneous attenuating media.," in Photons Plus Ultrasound: Imaging and Sensing 2009 (SPIE, San Jose, CA, 2009), Vol. No. 7177.
    • (2009) Photons Plus Ultrasound: Imaging and Sensing 2009 , vol.7177
    • Treeby, B.E.1    Cox, B.T.2
  • 31
    • 0033889221 scopus 로고    scopus 로고
    • On the applicability of Kramers-Kronig relations for ultrasonic attenuation obeying a frequency power law
    • 0001-4966. 10.1121/1.429586
    • 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. 0001-4966 108, 556-563 (2000). 10.1121/1.429586
    • (2000) J. Acoust. Soc. Am. , vol.108 , pp. 556-563
    • Waters, K.R.1    Hughes, M.S.2    Mobley, J.3    Brandenburger, G.H.4    Miller, J.G.5
  • 32
    • 23844434316 scopus 로고    scopus 로고
    • Causality-imposed (Kramers-Kronig) relationships between attenuation and dispersion
    • 0885-3010. 10.1109/TUFFC.2005.1503968
    • K. R. Waters, J. Mobley, and J. G. Miller, " Causality-imposed (Kramers-Kronig) relationships between attenuation and dispersion.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 52, 822-823 (2005). 10.1109/TUFFC.2005.1503968
    • (2005) IEEE Trans. Ultrason. Ferroelectr. Freq. Control , vol.52 , pp. 822-823
    • Waters, K.R.1    Mobley, J.2    Miller, J.G.3
  • 33
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • 0021-9991. 10.1006/jcph.1994.1159
    • J. -P. Berenger, " A perfectly matched layer for the absorption of electromagnetic waves.," J. Comput. Phys. 0021-9991 114, 185-200 (1994). 10.1006/jcph.1994.1159
    • (1994) J. Comput. Phys. , vol.114 , pp. 185-200
    • Berenger, J.-P.1
  • 34
    • 77956640945 scopus 로고    scopus 로고
    • K-Wave: MATLAB toolbox for the simulation and reconstruction of photoacoustic wave-fields
    • 1083-3668, 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. 1083-3668 15, 021314-1-12 10.1117/1.3360308
    • J. Biomed. Opt. , vol.15 , pp. 0213141-02131412
    • Treeby, B.E.1    Cox, B.T.2
  • 36
    • 34247390434 scopus 로고    scopus 로고
    • K-space propagation models for acoustically heterogeneous media: Application to biomedical photoacoustics
    • 0001-4966. 10.1121/1.2717409
    • B. T. Cox, S. Kara, S. R. Arridge, and P. C. Beard, " k-space propagation models for acoustically heterogeneous media: Application to biomedical photoacoustics.," J. Acoust. Soc. Am. 0001-4966 121, 3453-3464 (2007). 10.1121/1.2717409
    • (2007) J. Acoust. Soc. Am. , vol.121 , pp. 3453-3464
    • Cox, B.T.1    Kara, S.2    Arridge, S.R.3    Beard, P.C.4
  • 37
    • 68649092589 scopus 로고    scopus 로고
    • Measurement of broadband temperature-dependent ultrasonic attenuation and dispersion using photoacoustics
    • 0885-3010. 10.1109/TUFFC.2009.1231
    • B. E. Treeby, B. T. Cox, E. Z. Zhang, S. K. Patch, and P. C. Beard, " Measurement of broadband temperature-dependent ultrasonic attenuation and dispersion using photoacoustics.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 56, 1666-1676 (2009). 10.1109/TUFFC.2009.1231
    • (2009) IEEE Trans. Ultrason. Ferroelectr. Freq. Control , vol.56 , pp. 1666-1676
    • Treeby, B.E.1    Cox, B.T.2    Zhang, E.Z.3    Patch, S.K.4    Beard, P.C.5
  • 38
    • 4143051451 scopus 로고    scopus 로고
    • The material impulse response for broadband pulses in lossy media
    • 1051-0117
    • T. L. Szabo, " The material impulse response for broadband pulses in lossy media.," Proc.-IEEE Ultrason. Symp. 1051-0117 1, 748-751 (2003).
    • (2003) Proc.-IEEE Ultrason. Symp. , vol.1 , pp. 748-751
    • Szabo, T.L.1
  • 39
    • 77956253474 scopus 로고    scopus 로고
    • GPUmat: GPU toolbox for MATLAB, (Last viewed 2/25/2010)
    • GPUmat: GPU toolbox for MATLAB, http://www.gp-you.org (Last viewed 2/25/2010).


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