Abstract

Optical elastic wave imaging is a powerful technique that can quantify local biomechanical properties of tissues. However, typically long acquisition times make this technique unfeasible for clinical use. Here, we demonstrate non-contact single shot elastographic holography using a line-field interferometer integrated with an air-pulse delivery system. The propagation of the air-pulse induced elastic wave was imaged in real time, and required a single excitation for a line-scan measurement. Results on tissue-mimicking phantoms and chicken breast muscle demonstrated the feasibility of this technique for accurate assessment of tissue biomechanical properties with an acquisition time of a few milliseconds using parallel acquisition.

© 2016 Optical Society of America

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2016 (2)

M. Singh, J. Li, S. Vantipalli, S. Wang, Z. Han, A. Nair, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Noncontact elastic wave imaging optical coherence elastography for evaluating changes in corneal elasticity due to crosslinking,” IEEE J. Sel. Top. Quantum Electron. 22, 1–11 (2016).
[Crossref]

P. Song, X. Bi, D. C. Mellema, A. Manduca, M. W. Urban, P. A. Pellikka, S. Chen, and J. F. Greenleaf, “Pediatric cardiac shear wave elastography for quantitative assessment of myocardial stiffness: a pilot study in healthy controls,” Ultrasound Med. Biol. 42(8), 1719–1729 (2016).
[Crossref] [PubMed]

2015 (4)

S. Wang and K. V. Larin, “Optical coherence elastography for tissue characterization: a review,” J. Biophotonics 8(4), 279–302 (2015).
[Crossref] [PubMed]

M. Singh, C. Wu, C. H. Liu, J. Li, A. Schill, A. Nair, and K. V. Larin, “Phase-sensitive optical coherence elastography at 1.5 million A-Lines per second,” Opt. Lett. 40(11), 2588–2591 (2015).
[Crossref] [PubMed]

D. J. Fechtig, B. Grajciar, T. Schmoll, C. Blatter, R. M. Werkmeister, W. Drexler, and R. A. Leitgeb, “Line-field parallel swept source MHz OCT for structural and functional retinal imaging,” Biomed. Opt. Express 6(3), 716–735 (2015).
[Crossref] [PubMed]

Z. Han, J. Li, M. Singh, C. Wu, C. H. Liu, S. Wang, R. Idugboe, R. Raghunathan, N. Sudheendran, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Quantitative methods for reconstructing tissue biomechanical properties in optical coherence elastography: a comparison study,” Phys. Med. Biol. 60(9), 3531–3547 (2015).
[Crossref] [PubMed]

2014 (5)

2013 (3)

S. Wang, K. V. Larin, J. S. Li, S. Vantipalli, R. K. Manapuram, S. Aglyamov, S. Emelianov, and M. D. Twa, “A focused air-pulse system for optical-coherence-tomography-based measurements of tissue elasticity,” Laser Phys. Lett. 10(7), 075605 (2013).
[Crossref]

J. L. Gennisson, T. Deffieux, M. Fink, and M. Tanter, “Ultrasound elastography: principles and techniques,” Diagn. Interv. Imaging 94(5), 487–495 (2013).
[Crossref] [PubMed]

A. Nahas, M. Tanter, T. M. Nguyen, J. M. Chassot, M. Fink, and A. Claude Boccara, “From supersonic shear wave imaging to full-field optical coherence shear wave elastography,” J. Biomed. Opt. 18(12), 121514 (2013).
[Crossref] [PubMed]

2012 (1)

2011 (2)

B. Qiang, J. Greenleaf, M. Oyen, and X. Zhang, “Estimating material elasticity by spherical indentation load-relaxation tests on viscoelastic samples of finite thickness,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 58(7), 1418–1429 (2011).
[Crossref] [PubMed]

S. Li, K. D. Mohan, W. W. Sanders, and A. L. Oldenburg, “Toward soft-tissue elastography using digital holography to monitor surface acoustic waves,” J. Biomed. Opt. 16(11), 116005 (2011).
[Crossref] [PubMed]

2010 (3)

J. L. Gennisson, T. Deffieux, E. Macé, G. Montaldo, M. Fink, and M. Tanter, “Viscoelastic and anisotropic mechanical properties of in vivo muscle tissue assessed by supersonic shear imaging,” Ultrasound Med. Biol. 36(5), 789–801 (2010).
[Crossref] [PubMed]

L. Huang, Q. Kemao, B. Pan, and A. K. Asundi, “Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry,” Opt. Lasers Eng. 48(2), 141–148 (2010).
[Crossref]

M. K. Kim, “Principles and techniques of digital holographic microscopy,” J. Photonics Energy 1, 018005 (2010).

2009 (1)

2008 (1)

L. R. Correia, G. S. Mittal, and O. A. Basir, “Ultrasonic detection of bone fragment in mechanically deboned chicken breasts,” Innov Food Sci Emerg 9(1), 109–115 (2008).
[Crossref]

2007 (3)

2005 (2)

2003 (1)

J. F. Greenleaf, M. Fatemi, and M. Insana, “Selected methods for imaging elastic properties of biological tissues,” Annu. Rev. Biomed. Eng. 5(1), 57–78 (2003).
[Crossref] [PubMed]

2001 (1)

A. Manduca, T. E. Oliphant, M. A. Dresner, J. L. Mahowald, S. A. Kruse, E. Amromin, J. P. Felmlee, J. F. Greenleaf, and R. L. Ehman, “Magnetic resonance elastography: non-invasive mapping of tissue elasticity,” Med. Image Anal. 5(4), 237–254 (2001).
[Crossref] [PubMed]

2000 (1)

1998 (1)

1991 (1)

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science 254(5035), 1178–1181 (1991).
[Crossref] [PubMed]

1987 (1)

1985 (1)

Aglyamov, S.

S. Wang, K. V. Larin, J. S. Li, S. Vantipalli, R. K. Manapuram, S. Aglyamov, S. Emelianov, and M. D. Twa, “A focused air-pulse system for optical-coherence-tomography-based measurements of tissue elasticity,” Laser Phys. Lett. 10(7), 075605 (2013).
[Crossref]

Aglyamov, S. R.

M. Singh, J. Li, S. Vantipalli, S. Wang, Z. Han, A. Nair, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Noncontact elastic wave imaging optical coherence elastography for evaluating changes in corneal elasticity due to crosslinking,” IEEE J. Sel. Top. Quantum Electron. 22, 1–11 (2016).
[Crossref]

Z. Han, J. Li, M. Singh, C. Wu, C. H. Liu, S. Wang, R. Idugboe, R. Raghunathan, N. Sudheendran, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Quantitative methods for reconstructing tissue biomechanical properties in optical coherence elastography: a comparison study,” Phys. Med. Biol. 60(9), 3531–3547 (2015).
[Crossref] [PubMed]

Ai, C.

Amromin, E.

A. Manduca, T. E. Oliphant, M. A. Dresner, J. L. Mahowald, S. A. Kruse, E. Amromin, J. P. Felmlee, J. F. Greenleaf, and R. L. Ehman, “Magnetic resonance elastography: non-invasive mapping of tissue elasticity,” Med. Image Anal. 5(4), 237–254 (2001).
[Crossref] [PubMed]

Asundi, A. K.

L. Huang, Q. Kemao, B. Pan, and A. K. Asundi, “Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry,” Opt. Lasers Eng. 48(2), 141–148 (2010).
[Crossref]

Basir, O. A.

L. R. Correia, G. S. Mittal, and O. A. Basir, “Ultrasonic detection of bone fragment in mechanically deboned chicken breasts,” Innov Food Sci Emerg 9(1), 109–115 (2008).
[Crossref]

Bi, X.

P. Song, X. Bi, D. C. Mellema, A. Manduca, M. W. Urban, P. A. Pellikka, S. Chen, and J. F. Greenleaf, “Pediatric cardiac shear wave elastography for quantitative assessment of myocardial stiffness: a pilot study in healthy controls,” Ultrasound Med. Biol. 42(8), 1719–1729 (2016).
[Crossref] [PubMed]

Blatter, C.

Burke, J.

Chang, A.

C. H. Liu, Y. Du, M. Singh, C. Wu, Z. Han, J. Li, A. Chang, C. Mohan, and K. V. Larin, “Classifying murine glomerulonephritis using optical coherence tomography and optical coherence elastography,” J. Biophotonics (2016).

Chang, W.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science 254(5035), 1178–1181 (1991).
[Crossref] [PubMed]

Charrière, F.

Chassot, J. M.

A. Nahas, M. Tanter, T. M. Nguyen, J. M. Chassot, M. Fink, and A. Claude Boccara, “From supersonic shear wave imaging to full-field optical coherence shear wave elastography,” J. Biomed. Opt. 18(12), 121514 (2013).
[Crossref] [PubMed]

Chen, S.

P. Song, X. Bi, D. C. Mellema, A. Manduca, M. W. Urban, P. A. Pellikka, S. Chen, and J. F. Greenleaf, “Pediatric cardiac shear wave elastography for quantitative assessment of myocardial stiffness: a pilot study in healthy controls,” Ultrasound Med. Biol. 42(8), 1719–1729 (2016).
[Crossref] [PubMed]

Claude Boccara, A.

A. Nahas, M. Tanter, T. M. Nguyen, J. M. Chassot, M. Fink, and A. Claude Boccara, “From supersonic shear wave imaging to full-field optical coherence shear wave elastography,” J. Biomed. Opt. 18(12), 121514 (2013).
[Crossref] [PubMed]

Correia, L. R.

L. R. Correia, G. S. Mittal, and O. A. Basir, “Ultrasonic detection of bone fragment in mechanically deboned chicken breasts,” Innov Food Sci Emerg 9(1), 109–115 (2008).
[Crossref]

Creath, K.

Cuche, E.

Deffieux, T.

J. L. Gennisson, T. Deffieux, M. Fink, and M. Tanter, “Ultrasound elastography: principles and techniques,” Diagn. Interv. Imaging 94(5), 487–495 (2013).
[Crossref] [PubMed]

J. L. Gennisson, T. Deffieux, E. Macé, G. Montaldo, M. Fink, and M. Tanter, “Viscoelastic and anisotropic mechanical properties of in vivo muscle tissue assessed by supersonic shear imaging,” Ultrasound Med. Biol. 36(5), 789–801 (2010).
[Crossref] [PubMed]

Delori, F. C.

Depeursinge, C. D.

Dresner, M. A.

A. Manduca, T. E. Oliphant, M. A. Dresner, J. L. Mahowald, S. A. Kruse, E. Amromin, J. P. Felmlee, J. F. Greenleaf, and R. L. Ehman, “Magnetic resonance elastography: non-invasive mapping of tissue elasticity,” Med. Image Anal. 5(4), 237–254 (2001).
[Crossref] [PubMed]

Drexler, W.

Du, Y.

C. H. Liu, Y. Du, M. Singh, C. Wu, Z. Han, J. Li, A. Chang, C. Mohan, and K. V. Larin, “Classifying murine glomerulonephritis using optical coherence tomography and optical coherence elastography,” J. Biophotonics (2016).

Ehman, R. L.

A. Manduca, T. E. Oliphant, M. A. Dresner, J. L. Mahowald, S. A. Kruse, E. Amromin, J. P. Felmlee, J. F. Greenleaf, and R. L. Ehman, “Magnetic resonance elastography: non-invasive mapping of tissue elasticity,” Med. Image Anal. 5(4), 237–254 (2001).
[Crossref] [PubMed]

Emelianov, S.

S. Wang, K. V. Larin, J. S. Li, S. Vantipalli, R. K. Manapuram, S. Aglyamov, S. Emelianov, and M. D. Twa, “A focused air-pulse system for optical-coherence-tomography-based measurements of tissue elasticity,” Laser Phys. Lett. 10(7), 075605 (2013).
[Crossref]

Fatemi, M.

J. F. Greenleaf, M. Fatemi, and M. Insana, “Selected methods for imaging elastic properties of biological tissues,” Annu. Rev. Biomed. Eng. 5(1), 57–78 (2003).
[Crossref] [PubMed]

Fechtig, D. J.

Felmlee, J. P.

A. Manduca, T. E. Oliphant, M. A. Dresner, J. L. Mahowald, S. A. Kruse, E. Amromin, J. P. Felmlee, J. F. Greenleaf, and R. L. Ehman, “Magnetic resonance elastography: non-invasive mapping of tissue elasticity,” Med. Image Anal. 5(4), 237–254 (2001).
[Crossref] [PubMed]

Fink, M.

J. L. Gennisson, T. Deffieux, M. Fink, and M. Tanter, “Ultrasound elastography: principles and techniques,” Diagn. Interv. Imaging 94(5), 487–495 (2013).
[Crossref] [PubMed]

A. Nahas, M. Tanter, T. M. Nguyen, J. M. Chassot, M. Fink, and A. Claude Boccara, “From supersonic shear wave imaging to full-field optical coherence shear wave elastography,” J. Biomed. Opt. 18(12), 121514 (2013).
[Crossref] [PubMed]

J. L. Gennisson, T. Deffieux, E. Macé, G. Montaldo, M. Fink, and M. Tanter, “Viscoelastic and anisotropic mechanical properties of in vivo muscle tissue assessed by supersonic shear imaging,” Ultrasound Med. Biol. 36(5), 789–801 (2010).
[Crossref] [PubMed]

Fleming, S.

Flotte, T.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science 254(5035), 1178–1181 (1991).
[Crossref] [PubMed]

Fujikura, K.

M. Pernot, K. Fujikura, S. D. Fung-Kee-Fung, and E. E. Konofagou, “ECG-gated, mechanical and electromechanical wave imaging of cardiovascular tissues in vivo,” Ultrasound Med. Biol. 33(7), 1075–1085 (2007).
[Crossref] [PubMed]

Fujimoto, J. G.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science 254(5035), 1178–1181 (1991).
[Crossref] [PubMed]

Fung-Kee-Fung, S. D.

M. Pernot, K. Fujikura, S. D. Fung-Kee-Fung, and E. E. Konofagou, “ECG-gated, mechanical and electromechanical wave imaging of cardiovascular tissues in vivo,” Ultrasound Med. Biol. 33(7), 1075–1085 (2007).
[Crossref] [PubMed]

Gennisson, J. L.

J. L. Gennisson, T. Deffieux, M. Fink, and M. Tanter, “Ultrasound elastography: principles and techniques,” Diagn. Interv. Imaging 94(5), 487–495 (2013).
[Crossref] [PubMed]

J. L. Gennisson, T. Deffieux, E. Macé, G. Montaldo, M. Fink, and M. Tanter, “Viscoelastic and anisotropic mechanical properties of in vivo muscle tissue assessed by supersonic shear imaging,” Ultrasound Med. Biol. 36(5), 789–801 (2010).
[Crossref] [PubMed]

Gharbi, T.

Grajciar, B.

Greenleaf, J.

B. Qiang, J. Greenleaf, M. Oyen, and X. Zhang, “Estimating material elasticity by spherical indentation load-relaxation tests on viscoelastic samples of finite thickness,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 58(7), 1418–1429 (2011).
[Crossref] [PubMed]

Greenleaf, J. F.

P. Song, X. Bi, D. C. Mellema, A. Manduca, M. W. Urban, P. A. Pellikka, S. Chen, and J. F. Greenleaf, “Pediatric cardiac shear wave elastography for quantitative assessment of myocardial stiffness: a pilot study in healthy controls,” Ultrasound Med. Biol. 42(8), 1719–1729 (2016).
[Crossref] [PubMed]

J. F. Greenleaf, M. Fatemi, and M. Insana, “Selected methods for imaging elastic properties of biological tissues,” Annu. Rev. Biomed. Eng. 5(1), 57–78 (2003).
[Crossref] [PubMed]

A. Manduca, T. E. Oliphant, M. A. Dresner, J. L. Mahowald, S. A. Kruse, E. Amromin, J. P. Felmlee, J. F. Greenleaf, and R. L. Ehman, “Magnetic resonance elastography: non-invasive mapping of tissue elasticity,” Med. Image Anal. 5(4), 237–254 (2001).
[Crossref] [PubMed]

Gregory, K.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science 254(5035), 1178–1181 (1991).
[Crossref] [PubMed]

Han, Z.

M. Singh, J. Li, S. Vantipalli, S. Wang, Z. Han, A. Nair, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Noncontact elastic wave imaging optical coherence elastography for evaluating changes in corneal elasticity due to crosslinking,” IEEE J. Sel. Top. Quantum Electron. 22, 1–11 (2016).
[Crossref]

Z. Han, J. Li, M. Singh, C. Wu, C. H. Liu, S. Wang, R. Idugboe, R. Raghunathan, N. Sudheendran, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Quantitative methods for reconstructing tissue biomechanical properties in optical coherence elastography: a comparison study,” Phys. Med. Biol. 60(9), 3531–3547 (2015).
[Crossref] [PubMed]

J. Li, Z. Han, M. Singh, M. D. Twa, and K. V. Larin, “Differentiating untreated and cross-linked porcine corneas of the same measured stiffness with optical coherence elastography,” J. Biomed. Opt. 19(11), 110502 (2014).
[Crossref] [PubMed]

C. H. Liu, Y. Du, M. Singh, C. Wu, Z. Han, J. Li, A. Chang, C. Mohan, and K. V. Larin, “Classifying murine glomerulonephritis using optical coherence tomography and optical coherence elastography,” J. Biophotonics (2016).

Hee, M. R.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science 254(5035), 1178–1181 (1991).
[Crossref] [PubMed]

Helmers, H.

Huang, D.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science 254(5035), 1178–1181 (1991).
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Huang, L.

L. Huang, Q. Kemao, B. Pan, and A. K. Asundi, “Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry,” Opt. Lasers Eng. 48(2), 141–148 (2010).
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Humbert, P.

Idugboe, R.

Z. Han, J. Li, M. Singh, C. Wu, C. H. Liu, S. Wang, R. Idugboe, R. Raghunathan, N. Sudheendran, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Quantitative methods for reconstructing tissue biomechanical properties in optical coherence elastography: a comparison study,” Phys. Med. Biol. 60(9), 3531–3547 (2015).
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J. F. Greenleaf, M. Fatemi, and M. Insana, “Selected methods for imaging elastic properties of biological tissues,” Annu. Rev. Biomed. Eng. 5(1), 57–78 (2003).
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Kemao, Q.

L. Huang, Q. Kemao, B. Pan, and A. K. Asundi, “Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry,” Opt. Lasers Eng. 48(2), 141–148 (2010).
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M. K. Kim, “Principles and techniques of digital holographic microscopy,” J. Photonics Energy 1, 018005 (2010).

Konofagou, E. E.

M. Pernot, K. Fujikura, S. D. Fung-Kee-Fung, and E. E. Konofagou, “ECG-gated, mechanical and electromechanical wave imaging of cardiovascular tissues in vivo,” Ultrasound Med. Biol. 33(7), 1075–1085 (2007).
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Kruse, S. A.

A. Manduca, T. E. Oliphant, M. A. Dresner, J. L. Mahowald, S. A. Kruse, E. Amromin, J. P. Felmlee, J. F. Greenleaf, and R. L. Ehman, “Magnetic resonance elastography: non-invasive mapping of tissue elasticity,” Med. Image Anal. 5(4), 237–254 (2001).
[Crossref] [PubMed]

Larin, K. V.

M. Singh, J. Li, S. Vantipalli, S. Wang, Z. Han, A. Nair, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Noncontact elastic wave imaging optical coherence elastography for evaluating changes in corneal elasticity due to crosslinking,” IEEE J. Sel. Top. Quantum Electron. 22, 1–11 (2016).
[Crossref]

M. Singh, C. Wu, C. H. Liu, J. Li, A. Schill, A. Nair, and K. V. Larin, “Phase-sensitive optical coherence elastography at 1.5 million A-Lines per second,” Opt. Lett. 40(11), 2588–2591 (2015).
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S. Wang and K. V. Larin, “Optical coherence elastography for tissue characterization: a review,” J. Biophotonics 8(4), 279–302 (2015).
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Z. Han, J. Li, M. Singh, C. Wu, C. H. Liu, S. Wang, R. Idugboe, R. Raghunathan, N. Sudheendran, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Quantitative methods for reconstructing tissue biomechanical properties in optical coherence elastography: a comparison study,” Phys. Med. Biol. 60(9), 3531–3547 (2015).
[Crossref] [PubMed]

J. Li, Z. Han, M. Singh, M. D. Twa, and K. V. Larin, “Differentiating untreated and cross-linked porcine corneas of the same measured stiffness with optical coherence elastography,” J. Biomed. Opt. 19(11), 110502 (2014).
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S. Wang and K. V. Larin, “Shear wave imaging optical coherence tomography (SWI-OCT) for ocular tissue biomechanics,” Opt. Lett. 39(1), 41–44 (2014).
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S. Wang, A. L. Lopez, Y. Morikawa, G. Tao, J. Li, I. V. Larina, J. F. Martin, and K. V. Larin, “Noncontact quantitative biomechanical characterization of cardiac muscle using shear wave imaging optical coherence tomography,” Biomed. Opt. Express 5(7), 1980–1992 (2014).
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S. Wang and K. V. Larin, “Noncontact depth-resolved micro-scale optical coherence elastography of the cornea,” Biomed. Opt. Express 5(11), 3807–3821 (2014).
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S. Wang, K. V. Larin, J. S. Li, S. Vantipalli, R. K. Manapuram, S. Aglyamov, S. Emelianov, and M. D. Twa, “A focused air-pulse system for optical-coherence-tomography-based measurements of tissue elasticity,” Laser Phys. Lett. 10(7), 075605 (2013).
[Crossref]

C. H. Liu, Y. Du, M. Singh, C. Wu, Z. Han, J. Li, A. Chang, C. Mohan, and K. V. Larin, “Classifying murine glomerulonephritis using optical coherence tomography and optical coherence elastography,” J. Biophotonics (2016).

Larina, I. V.

Law, S.

Lee, Y. C.

Leitgeb, R. A.

Li, J.

M. Singh, J. Li, S. Vantipalli, S. Wang, Z. Han, A. Nair, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Noncontact elastic wave imaging optical coherence elastography for evaluating changes in corneal elasticity due to crosslinking,” IEEE J. Sel. Top. Quantum Electron. 22, 1–11 (2016).
[Crossref]

M. Singh, C. Wu, C. H. Liu, J. Li, A. Schill, A. Nair, and K. V. Larin, “Phase-sensitive optical coherence elastography at 1.5 million A-Lines per second,” Opt. Lett. 40(11), 2588–2591 (2015).
[Crossref] [PubMed]

Z. Han, J. Li, M. Singh, C. Wu, C. H. Liu, S. Wang, R. Idugboe, R. Raghunathan, N. Sudheendran, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Quantitative methods for reconstructing tissue biomechanical properties in optical coherence elastography: a comparison study,” Phys. Med. Biol. 60(9), 3531–3547 (2015).
[Crossref] [PubMed]

J. Li, Z. Han, M. Singh, M. D. Twa, and K. V. Larin, “Differentiating untreated and cross-linked porcine corneas of the same measured stiffness with optical coherence elastography,” J. Biomed. Opt. 19(11), 110502 (2014).
[Crossref] [PubMed]

S. Wang, A. L. Lopez, Y. Morikawa, G. Tao, J. Li, I. V. Larina, J. F. Martin, and K. V. Larin, “Noncontact quantitative biomechanical characterization of cardiac muscle using shear wave imaging optical coherence tomography,” Biomed. Opt. Express 5(7), 1980–1992 (2014).
[Crossref] [PubMed]

C. H. Liu, Y. Du, M. Singh, C. Wu, Z. Han, J. Li, A. Chang, C. Mohan, and K. V. Larin, “Classifying murine glomerulonephritis using optical coherence tomography and optical coherence elastography,” J. Biophotonics (2016).

Li, J. S.

S. Wang, K. V. Larin, J. S. Li, S. Vantipalli, R. K. Manapuram, S. Aglyamov, S. Emelianov, and M. D. Twa, “A focused air-pulse system for optical-coherence-tomography-based measurements of tissue elasticity,” Laser Phys. Lett. 10(7), 075605 (2013).
[Crossref]

Li, S.

S. Li, K. D. Mohan, W. W. Sanders, and A. L. Oldenburg, “Toward soft-tissue elastography using digital holography to monitor surface acoustic waves,” J. Biomed. Opt. 16(11), 116005 (2011).
[Crossref] [PubMed]

Lin, C. P.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science 254(5035), 1178–1181 (1991).
[Crossref] [PubMed]

Liu, C. H.

M. Singh, C. Wu, C. H. Liu, J. Li, A. Schill, A. Nair, and K. V. Larin, “Phase-sensitive optical coherence elastography at 1.5 million A-Lines per second,” Opt. Lett. 40(11), 2588–2591 (2015).
[Crossref] [PubMed]

Z. Han, J. Li, M. Singh, C. Wu, C. H. Liu, S. Wang, R. Idugboe, R. Raghunathan, N. Sudheendran, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Quantitative methods for reconstructing tissue biomechanical properties in optical coherence elastography: a comparison study,” Phys. Med. Biol. 60(9), 3531–3547 (2015).
[Crossref] [PubMed]

C. H. Liu, Y. Du, M. Singh, C. Wu, Z. Han, J. Li, A. Chang, C. Mohan, and K. V. Larin, “Classifying murine glomerulonephritis using optical coherence tomography and optical coherence elastography,” J. Biophotonics (2016).

Lopez, A. L.

Macé, E.

J. L. Gennisson, T. Deffieux, E. Macé, G. Montaldo, M. Fink, and M. Tanter, “Viscoelastic and anisotropic mechanical properties of in vivo muscle tissue assessed by supersonic shear imaging,” Ultrasound Med. Biol. 36(5), 789–801 (2010).
[Crossref] [PubMed]

Mahowald, J. L.

A. Manduca, T. E. Oliphant, M. A. Dresner, J. L. Mahowald, S. A. Kruse, E. Amromin, J. P. Felmlee, J. F. Greenleaf, and R. L. Ehman, “Magnetic resonance elastography: non-invasive mapping of tissue elasticity,” Med. Image Anal. 5(4), 237–254 (2001).
[Crossref] [PubMed]

Makita, S.

Manapuram, R. K.

S. Wang, K. V. Larin, J. S. Li, S. Vantipalli, R. K. Manapuram, S. Aglyamov, S. Emelianov, and M. D. Twa, “A focused air-pulse system for optical-coherence-tomography-based measurements of tissue elasticity,” Laser Phys. Lett. 10(7), 075605 (2013).
[Crossref]

Manduca, A.

P. Song, X. Bi, D. C. Mellema, A. Manduca, M. W. Urban, P. A. Pellikka, S. Chen, and J. F. Greenleaf, “Pediatric cardiac shear wave elastography for quantitative assessment of myocardial stiffness: a pilot study in healthy controls,” Ultrasound Med. Biol. 42(8), 1719–1729 (2016).
[Crossref] [PubMed]

A. Manduca, T. E. Oliphant, M. A. Dresner, J. L. Mahowald, S. A. Kruse, E. Amromin, J. P. Felmlee, J. F. Greenleaf, and R. L. Ehman, “Magnetic resonance elastography: non-invasive mapping of tissue elasticity,” Med. Image Anal. 5(4), 237–254 (2001).
[Crossref] [PubMed]

Marquet, P.

Martin, J. F.

Massatsch, P.

Mellema, D. C.

P. Song, X. Bi, D. C. Mellema, A. Manduca, M. W. Urban, P. A. Pellikka, S. Chen, and J. F. Greenleaf, “Pediatric cardiac shear wave elastography for quantitative assessment of myocardial stiffness: a pilot study in healthy controls,” Ultrasound Med. Biol. 42(8), 1719–1729 (2016).
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Meneses, J.

Mittal, G. S.

L. R. Correia, G. S. Mittal, and O. A. Basir, “Ultrasonic detection of bone fragment in mechanically deboned chicken breasts,” Innov Food Sci Emerg 9(1), 109–115 (2008).
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Mohan, C.

C. H. Liu, Y. Du, M. Singh, C. Wu, Z. Han, J. Li, A. Chang, C. Mohan, and K. V. Larin, “Classifying murine glomerulonephritis using optical coherence tomography and optical coherence elastography,” J. Biophotonics (2016).

Mohan, K. D.

K. D. Mohan and A. L. Oldenburg, “Elastography of soft materials and tissues by holographic imaging of surface acoustic waves,” Opt. Express 20(17), 18887–18897 (2012).
[Crossref] [PubMed]

S. Li, K. D. Mohan, W. W. Sanders, and A. L. Oldenburg, “Toward soft-tissue elastography using digital holography to monitor surface acoustic waves,” J. Biomed. Opt. 16(11), 116005 (2011).
[Crossref] [PubMed]

Montaldo, G.

J. L. Gennisson, T. Deffieux, E. Macé, G. Montaldo, M. Fink, and M. Tanter, “Viscoelastic and anisotropic mechanical properties of in vivo muscle tissue assessed by supersonic shear imaging,” Ultrasound Med. Biol. 36(5), 789–801 (2010).
[Crossref] [PubMed]

Morikawa, Y.

Nahas, A.

A. Nahas, M. Tanter, T. M. Nguyen, J. M. Chassot, M. Fink, and A. Claude Boccara, “From supersonic shear wave imaging to full-field optical coherence shear wave elastography,” J. Biomed. Opt. 18(12), 121514 (2013).
[Crossref] [PubMed]

Nair, A.

M. Singh, J. Li, S. Vantipalli, S. Wang, Z. Han, A. Nair, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Noncontact elastic wave imaging optical coherence elastography for evaluating changes in corneal elasticity due to crosslinking,” IEEE J. Sel. Top. Quantum Electron. 22, 1–11 (2016).
[Crossref]

M. Singh, C. Wu, C. H. Liu, J. Li, A. Schill, A. Nair, and K. V. Larin, “Phase-sensitive optical coherence elastography at 1.5 million A-Lines per second,” Opt. Lett. 40(11), 2588–2591 (2015).
[Crossref] [PubMed]

Nakamura, Y.

Nguyen, M. M.

M. M. Nguyen, S. Zhou, J. L. Robert, V. Shamdasani, and H. Xie, “Development of oil-in-gelatin phantoms for viscoelasticity measurement in ultrasound shear wave elastography,” Ultrasound Med. Biol. 40(1), 168–176 (2014).
[Crossref] [PubMed]

Nguyen, T. M.

A. Nahas, M. Tanter, T. M. Nguyen, J. M. Chassot, M. Fink, and A. Claude Boccara, “From supersonic shear wave imaging to full-field optical coherence shear wave elastography,” J. Biomed. Opt. 18(12), 121514 (2013).
[Crossref] [PubMed]

Oldenburg, A. L.

K. D. Mohan and A. L. Oldenburg, “Elastography of soft materials and tissues by holographic imaging of surface acoustic waves,” Opt. Express 20(17), 18887–18897 (2012).
[Crossref] [PubMed]

S. Li, K. D. Mohan, W. W. Sanders, and A. L. Oldenburg, “Toward soft-tissue elastography using digital holography to monitor surface acoustic waves,” J. Biomed. Opt. 16(11), 116005 (2011).
[Crossref] [PubMed]

Oliphant, T. E.

A. Manduca, T. E. Oliphant, M. A. Dresner, J. L. Mahowald, S. A. Kruse, E. Amromin, J. P. Felmlee, J. F. Greenleaf, and R. L. Ehman, “Magnetic resonance elastography: non-invasive mapping of tissue elasticity,” Med. Image Anal. 5(4), 237–254 (2001).
[Crossref] [PubMed]

Oyen, M.

B. Qiang, J. Greenleaf, M. Oyen, and X. Zhang, “Estimating material elasticity by spherical indentation load-relaxation tests on viscoelastic samples of finite thickness,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 58(7), 1418–1429 (2011).
[Crossref] [PubMed]

Pan, B.

L. Huang, Q. Kemao, B. Pan, and A. K. Asundi, “Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry,” Opt. Lasers Eng. 48(2), 141–148 (2010).
[Crossref]

Pellikka, P. A.

P. Song, X. Bi, D. C. Mellema, A. Manduca, M. W. Urban, P. A. Pellikka, S. Chen, and J. F. Greenleaf, “Pediatric cardiac shear wave elastography for quantitative assessment of myocardial stiffness: a pilot study in healthy controls,” Ultrasound Med. Biol. 42(8), 1719–1729 (2016).
[Crossref] [PubMed]

Pernot, M.

M. Pernot, K. Fujikura, S. D. Fung-Kee-Fung, and E. E. Konofagou, “ECG-gated, mechanical and electromechanical wave imaging of cardiovascular tissues in vivo,” Ultrasound Med. Biol. 33(7), 1075–1085 (2007).
[Crossref] [PubMed]

Puliafito, C. A.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science 254(5035), 1178–1181 (1991).
[Crossref] [PubMed]

Qiang, B.

B. Qiang, J. Greenleaf, M. Oyen, and X. Zhang, “Estimating material elasticity by spherical indentation load-relaxation tests on viscoelastic samples of finite thickness,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 58(7), 1418–1429 (2011).
[Crossref] [PubMed]

Raghunathan, R.

Z. Han, J. Li, M. Singh, C. Wu, C. H. Liu, S. Wang, R. Idugboe, R. Raghunathan, N. Sudheendran, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Quantitative methods for reconstructing tissue biomechanical properties in optical coherence elastography: a comparison study,” Phys. Med. Biol. 60(9), 3531–3547 (2015).
[Crossref] [PubMed]

Robert, J. L.

M. M. Nguyen, S. Zhou, J. L. Robert, V. Shamdasani, and H. Xie, “Development of oil-in-gelatin phantoms for viscoelasticity measurement in ultrasound shear wave elastography,” Ultrasound Med. Biol. 40(1), 168–176 (2014).
[Crossref] [PubMed]

Sanders, W. W.

S. Li, K. D. Mohan, W. W. Sanders, and A. L. Oldenburg, “Toward soft-tissue elastography using digital holography to monitor surface acoustic waves,” J. Biomed. Opt. 16(11), 116005 (2011).
[Crossref] [PubMed]

Schill, A.

Schmitt, J.

Schmoll, T.

Schuman, J. S.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science 254(5035), 1178–1181 (1991).
[Crossref] [PubMed]

Shamdasani, V.

M. M. Nguyen, S. Zhou, J. L. Robert, V. Shamdasani, and H. Xie, “Development of oil-in-gelatin phantoms for viscoelasticity measurement in ultrasound shear wave elastography,” Ultrasound Med. Biol. 40(1), 168–176 (2014).
[Crossref] [PubMed]

Singh, M.

M. Singh, J. Li, S. Vantipalli, S. Wang, Z. Han, A. Nair, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Noncontact elastic wave imaging optical coherence elastography for evaluating changes in corneal elasticity due to crosslinking,” IEEE J. Sel. Top. Quantum Electron. 22, 1–11 (2016).
[Crossref]

M. Singh, C. Wu, C. H. Liu, J. Li, A. Schill, A. Nair, and K. V. Larin, “Phase-sensitive optical coherence elastography at 1.5 million A-Lines per second,” Opt. Lett. 40(11), 2588–2591 (2015).
[Crossref] [PubMed]

Z. Han, J. Li, M. Singh, C. Wu, C. H. Liu, S. Wang, R. Idugboe, R. Raghunathan, N. Sudheendran, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Quantitative methods for reconstructing tissue biomechanical properties in optical coherence elastography: a comparison study,” Phys. Med. Biol. 60(9), 3531–3547 (2015).
[Crossref] [PubMed]

J. Li, Z. Han, M. Singh, M. D. Twa, and K. V. Larin, “Differentiating untreated and cross-linked porcine corneas of the same measured stiffness with optical coherence elastography,” J. Biomed. Opt. 19(11), 110502 (2014).
[Crossref] [PubMed]

C. H. Liu, Y. Du, M. Singh, C. Wu, Z. Han, J. Li, A. Chang, C. Mohan, and K. V. Larin, “Classifying murine glomerulonephritis using optical coherence tomography and optical coherence elastography,” J. Biophotonics (2016).

Sliney, D. H.

Song, P.

P. Song, X. Bi, D. C. Mellema, A. Manduca, M. W. Urban, P. A. Pellikka, S. Chen, and J. F. Greenleaf, “Pediatric cardiac shear wave elastography for quantitative assessment of myocardial stiffness: a pilot study in healthy controls,” Ultrasound Med. Biol. 42(8), 1719–1729 (2016).
[Crossref] [PubMed]

Stinson, W. G.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science 254(5035), 1178–1181 (1991).
[Crossref] [PubMed]

Sudheendran, N.

Z. Han, J. Li, M. Singh, C. Wu, C. H. Liu, S. Wang, R. Idugboe, R. Raghunathan, N. Sudheendran, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Quantitative methods for reconstructing tissue biomechanical properties in optical coherence elastography: a comparison study,” Phys. Med. Biol. 60(9), 3531–3547 (2015).
[Crossref] [PubMed]

Swain, M.

Swanson, E. A.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science 254(5035), 1178–1181 (1991).
[Crossref] [PubMed]

Tanter, M.

J. L. Gennisson, T. Deffieux, M. Fink, and M. Tanter, “Ultrasound elastography: principles and techniques,” Diagn. Interv. Imaging 94(5), 487–495 (2013).
[Crossref] [PubMed]

A. Nahas, M. Tanter, T. M. Nguyen, J. M. Chassot, M. Fink, and A. Claude Boccara, “From supersonic shear wave imaging to full-field optical coherence shear wave elastography,” J. Biomed. Opt. 18(12), 121514 (2013).
[Crossref] [PubMed]

J. L. Gennisson, T. Deffieux, E. Macé, G. Montaldo, M. Fink, and M. Tanter, “Viscoelastic and anisotropic mechanical properties of in vivo muscle tissue assessed by supersonic shear imaging,” Ultrasound Med. Biol. 36(5), 789–801 (2010).
[Crossref] [PubMed]

Tao, G.

Twa, M. D.

M. Singh, J. Li, S. Vantipalli, S. Wang, Z. Han, A. Nair, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Noncontact elastic wave imaging optical coherence elastography for evaluating changes in corneal elasticity due to crosslinking,” IEEE J. Sel. Top. Quantum Electron. 22, 1–11 (2016).
[Crossref]

Z. Han, J. Li, M. Singh, C. Wu, C. H. Liu, S. Wang, R. Idugboe, R. Raghunathan, N. Sudheendran, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Quantitative methods for reconstructing tissue biomechanical properties in optical coherence elastography: a comparison study,” Phys. Med. Biol. 60(9), 3531–3547 (2015).
[Crossref] [PubMed]

J. Li, Z. Han, M. Singh, M. D. Twa, and K. V. Larin, “Differentiating untreated and cross-linked porcine corneas of the same measured stiffness with optical coherence elastography,” J. Biomed. Opt. 19(11), 110502 (2014).
[Crossref] [PubMed]

S. Wang, K. V. Larin, J. S. Li, S. Vantipalli, R. K. Manapuram, S. Aglyamov, S. Emelianov, and M. D. Twa, “A focused air-pulse system for optical-coherence-tomography-based measurements of tissue elasticity,” Laser Phys. Lett. 10(7), 075605 (2013).
[Crossref]

Urban, M. W.

P. Song, X. Bi, D. C. Mellema, A. Manduca, M. W. Urban, P. A. Pellikka, S. Chen, and J. F. Greenleaf, “Pediatric cardiac shear wave elastography for quantitative assessment of myocardial stiffness: a pilot study in healthy controls,” Ultrasound Med. Biol. 42(8), 1719–1729 (2016).
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Vantipalli, S.

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M. Singh, J. Li, S. Vantipalli, S. Wang, Z. Han, A. Nair, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Noncontact elastic wave imaging optical coherence elastography for evaluating changes in corneal elasticity due to crosslinking,” IEEE J. Sel. Top. Quantum Electron. 22, 1–11 (2016).
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IEEE J. Sel. Top. Quantum Electron. (1)

M. Singh, J. Li, S. Vantipalli, S. Wang, Z. Han, A. Nair, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Noncontact elastic wave imaging optical coherence elastography for evaluating changes in corneal elasticity due to crosslinking,” IEEE J. Sel. Top. Quantum Electron. 22, 1–11 (2016).
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B. Qiang, J. Greenleaf, M. Oyen, and X. Zhang, “Estimating material elasticity by spherical indentation load-relaxation tests on viscoelastic samples of finite thickness,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 58(7), 1418–1429 (2011).
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L. R. Correia, G. S. Mittal, and O. A. Basir, “Ultrasonic detection of bone fragment in mechanically deboned chicken breasts,” Innov Food Sci Emerg 9(1), 109–115 (2008).
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S. Wang and K. V. Larin, “Optical coherence elastography for tissue characterization: a review,” J. Biophotonics 8(4), 279–302 (2015).
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M. K. Kim, “Principles and techniques of digital holographic microscopy,” J. Photonics Energy 1, 018005 (2010).

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S. Wang, K. V. Larin, J. S. Li, S. Vantipalli, R. K. Manapuram, S. Aglyamov, S. Emelianov, and M. D. Twa, “A focused air-pulse system for optical-coherence-tomography-based measurements of tissue elasticity,” Laser Phys. Lett. 10(7), 075605 (2013).
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Phys. Med. Biol. (1)

Z. Han, J. Li, M. Singh, C. Wu, C. H. Liu, S. Wang, R. Idugboe, R. Raghunathan, N. Sudheendran, S. R. Aglyamov, M. D. Twa, and K. V. Larin, “Quantitative methods for reconstructing tissue biomechanical properties in optical coherence elastography: a comparison study,” Phys. Med. Biol. 60(9), 3531–3547 (2015).
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Science (1)

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M. M. Nguyen, S. Zhou, J. L. Robert, V. Shamdasani, and H. Xie, “Development of oil-in-gelatin phantoms for viscoelasticity measurement in ultrasound shear wave elastography,” Ultrasound Med. Biol. 40(1), 168–176 (2014).
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C. H. Liu, Y. Du, M. Singh, C. Wu, Z. Han, J. Li, A. Chang, C. Mohan, and K. V. Larin, “Classifying murine glomerulonephritis using optical coherence tomography and optical coherence elastography,” J. Biophotonics (2016).

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Figures (5)

Fig. 1
Fig. 1 Schematic setup of line-field LCH system (top view). CL: cylindrical lens. L1-L7: plano-convex lens. DAC: digital to analog converter. PZT: piezo-electric transducer. BP: band pass filter
Fig. 2
Fig. 2 (a) Phase retrieval workflow. Examples in (b-g) are from a 1% tissue mimicking agar phantom. The red point represents the location of air-pulse excitation. (b) Raw spatio-temporal interferogram (c) Raw fringes with four phase shifts. (d) Wrapped phase across the line scan prior to the air-pulse excitation. (e) The spatio-temporal map after background tilt removal from 23 ms to 47 ms in (b). (f) Selected temporal displacement profiles at a reference position near the wave excitation shown (a) and 0.55 mm, 1.1 mm, 1.65 mm, and 2.2 mm away from the reference location. (g) Linear fitting of selected elastic wave propagation delays obtained by cross-correlation analysis to the corresponding distances of 2.5 mm.
Fig. 3
Fig. 3 (a) Young’s modulus of homogenous phantoms as assessed by LF-LCH and as measured by uniaxial mechanical compression testing (N = 4). (b) Spatio-temporal displacement map of the transversely heterogeneous phantom. (c) The computed propagation time delays of the elastic wave in (b). (d) Young’s modulus of 1% and 2% agar components of the heterogeneous phantoms (N = 3). The color bar represents the relative displacement values, the red dashed line marks the interface between different agar concentrations, and the error bars represent two standard deviations.
Fig. 4
Fig. 4 (a) Spatio-temporal displacement map of the air-pulse induced elastic wave in chicken breast. (b) Selected temporal displacement profiles at the indicated positions. (c) Comparison of Young’s modulus results obtained from chicken breast utilizing LF-LCH and uniaxial mechanical compression testing (N = 3).
Fig. 5
Fig. 5 (a) Selected time delays of the air-pulse induced elastic at various angles relative to the chicken breast muscle fiber orientation. (b) Young’s modulus of the chicken at various angles as assessed by LF-LCH.

Equations (5)

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E= 2ρ ( 1+υ ) 3 ( 0.87+1.12υ ) 2 c g 2
MPΦ=6.96* 10 4 * C T * C E * t 0.25  [W]
C E = 8 α L α w π α min( α L + α w )
MPE cornea =2.5 t 0.75 [ W/cm 2 ]
MPE skin =1.1 C T t 0.75 [ W/cm 2 ]

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