Abstract

We use diffuse optical tomography to quantitatively reconstruct images of complex phantoms with millimeter sized features located centimeters deep within a highly-scattering medium. A non-contact instrument was employed to collect large data sets consisting of greater than 107 source-detector pairs. Images were reconstructed using a fast image reconstruction algorithm based on an analytic solution to the inverse scattering problem for diffuse light.

©2008 Optical Society of America

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  1. M. C.W. van Rossum and T. M. Nieuwenhuizen, “Multiple scattering of classical waves: microscopy, mesoscopy and diffusion,” Rev. Mod. Phys. 71, 313–371 (1999).
    [Crossref]
  2. A. Yodh and B. Chance, “Spectroscopy and imaging with diffuse light,” Phys. Today pp. 34–40 (1995).
    [Crossref]
  3. S. R. Arridge, “Optical tomography in medical imaging,” Inverse Problems 15, R41–R93 (1999).
    [Crossref]
  4. A. P. Gibson, J. C. Hebden, and S. R. Arridge, “Recent advances in diffuse optical imaging,” Phys. Med. Biol. 50, R1–R43 (2005).
    [Crossref] [PubMed]
  5. S. B. Colak, M. B. van der Mark, G. W. Hooft, J. H. Hoogenraad, E. S. van der Linden, and F. A. Kuijpers, “Clinical optical tomography and NIR spectroscopy for breast cancer detection,” IEEE J. Sel. Top. Quantum Electron. 5, 1143–1158 (1999).
    [Crossref]
  6. D. J. Hawrysz and E. M. Sevick-Muraca, “Developments toward diagnostic breast cancer imaging using near-infrared optical measurements and fluorescent contrast agants,” Neoplasia 2, 388–417 (2000).
    [Crossref]
  7. Y. Xu, X. J. Gu, L. L. Fajardo, and H. B. Jiang, “In vivo breast imaging with diffuse optical tomography based on higher-order diffusion equations,” Appl. Opt. 42, 3163–3169 (2003).
    [Crossref] [PubMed]
  8. J. P. Culver, R. Choe, M. J. Holboke, L. Zubkov, T. Durduran, A. Slemp, V. Ntziachristos, B. Chance, and A. G. Yodh, “Three-dimensional diffuse optical tomography in the parallel plane transmission geometry: Evaluation of a hybrid frequency domain/continuous wave clinical system for breast imaging,” Med. Phys. 30, 235–247 (2003).
    [Crossref] [PubMed]
  9. Q. I. Zhu, M. M. Huang, N. G. Chen, K. Zarfos, B. Jagjivan, M. Kane, P. Hedge, and S. H. Kurtzman, “Ultrasound-guided optical tomographic imaging of malignant and benign breast lesions: Initial clinical results of 19 cases,” Neoplasia 5, 379–388 (2003).
    [PubMed]
  10. X. Intes, J. Ripoll, Y. Chen, S. Nioka, A. G. Yodh, and B. Chance, “In vivo continuous-wave optical breast imaging enhanced with Indocyanine Green,” Med. Phys. 30, 1039–1047 (2003).
    [Crossref] [PubMed]
  11. A. Li, E. L. Miller, M. E. Kilmer, T. J. Brukilacchio, T. Chaves, J. Stott, Q. Zhang, T. Wu, M. Chorlton, R. H. Moore, D. B. Kopans, and D. A. Boas, “Tomographic optical breast imaging guided by three-dimensional mammography,” Appl. Opt. 42, 5181–5190 (2003).
    [Crossref] [PubMed]
  12. S. D. Jiang, B. W. Pogue, T. O. McBride, M. M. Doyley, S. P. Poplack, and K. D. Paulsen, “Near-infrared breast tomography calibration with optoelastic tissue simulating phantoms,” J. Electron. Imaging 12, 613–620 (2003).
    [Crossref]
  13. D. A. Benaron, J. van Houten, D. C. Ho, S. D. Spilman, and D. K. Stevenson, “Imaging neonatal brain injury using light-based optical tomography,” Pediatr. Res. 35, A378–A378 (1994).
  14. J. P. van Houten, W. F. Cheong, E. L. Kermit, T. R. Machold, D. K. Stevenson, and D. A. Benaron, “Clinical measurement of brain oxygenation and function using light-based optical tomography,” Pediatr. Res. 39, 2273–2273 (1996).
    [Crossref]
  15. A. Y. Bluestone, G. Abdoulaev, C. H. Schmitz, R. L. Barbour, and A. H. Hielscher, “Three-dimensional optical tomography of hemodynamics in the human head,” Opt. Express 9, 272–286 (2001).
    [Crossref] [PubMed]
  16. G. Strangman, D. A. Boas, and J. P. Sutton, “Non-invasive neuroimaging using near-infrared light,” Biol. Psychiatry 52, 679–693 (2002).
    [Crossref] [PubMed]
  17. J. C. Hebden, A. Gibson, R. M. Yusof, N. Everdell, E. M. C. Hillman, D. T. Delpy, S. R. Arridge, T. Austin, J. H. Meek, and J. S. Wyatt, “Three-dimensional optical tomography of the premature infant brain,” Phys. Med. Biol. 47, 4155–4166 (2002).
    [Crossref] [PubMed]
  18. J. C. Hebden, “Advances in optical imaging of the newborn infant brain,” Psychophysiology 40, 501–510 (2003).
    [Crossref] [PubMed]
  19. J. P. Culver, A. M. Siegel, J. J. Stott, and D. A. Boas, “Volumetric diffuse optical tomography of brain activity,” Opt. Lett. 28, 2061–2063 (2003).
    [Crossref] [PubMed]
  20. A. M. Siegel, J. P. Culver, J. B. Mandeville, and D. A. Boas, “Temporal comparison of functional brain imaging with diffuse optical tomography and fMRI during rat forepaw stimulation,” Phys. Med. Biol. 48, 1391–1403 (2003).
    [Crossref] [PubMed]
  21. G. Q. Yu, T. Durduran, D. Furuya, J. H. Greenberg, and A. G. Yodh, “Frequency-domain multiplexing system for in vivo diffuse light measurements of rapid cerebral hemodynamics,” Appl. Opt. 42, 2931–2939 (2003).
    [Crossref] [PubMed]
  22. J. C. Schotland, “Continuous wave diffusion imaging,” J. Opt. Soc. Am. A 14, 275–279 (1997).
    [Crossref]
  23. V. A. Markel and J. C. Schotland, “Inverse scattering for the diffusion equation with general boundary conditions,” Phys. Rev. E 64, R035,601 (2001).
    [Crossref]
  24. V. A. Markel and J. C. Schotland, “The inverse problem in optical diffusion tomography. II. Inversion with boundary conditions,” J. Opt. Soc. Am. A 19, 558–566 (2002).
    [Crossref]
  25. V. A. Markel and J. C. Schotland, “Effects of sampling and limited data in optical tomography,” Appl. Phys. Lett. 81, 1180–1182 (2002).
    [Crossref]
  26. J. C. Schotland and V. A. Markel, “Inverse scattering with diffusing waves,” J. Opt. Soc. Am. A 18, 2767–2777 (2001).
    [Crossref]
  27. G. Turner, G. Zacharakis, A. Soubret, J. Ripoll, and V. Ntziachristos, “Complete-angle projection diffuse optical tomography by use of early photons,” Opt. Lett. 30, 409–411 (2005).
    [Crossref] [PubMed]
  28. R. Schulz, J. Ripoll, and V. Ntziachristos, “Noncontact optical tomography of turbid media,” Opt. Lett. 28, 1701–1703 (2003).
    [Crossref] [PubMed]
  29. Z.-M. Wang, G. Y. Panasyuk, V. A. Markel, and J. C. Schotland, “Experimental demonstration of an analytic method for image reconstruction in optical tomography with large data sets,” Opt. Lett. 30, 3338–3340 (2005).
    [Crossref]
  30. V. A. Markel, V. Mital, and J. C. Schotland, “The inverse problem in optical diffusion tomography. III. Inversion formulas and singular value decomposition,” J. Opt. Soc. Am. A 20, 890–902 (2003).
    [Crossref]
  31. V. A. Markel and J. C. Schotland, “Symmetries, inversion formulas and image reconstruction for optical tomography,” Phys. Rev. E 70, 056,616 (2004).
    [Crossref]
  32. R. Choe, “Diffuse Optical Tomography and Spectroscopy of Breast Cancer and Fetal Brain,” Ph.D. thesis, University of Pennsylvania (2005).
  33. A. Ishimaru, Wave Propagation and Scattering in Random Media (IEEE Press, Piscataway, NJ, 1997).
  34. R. Aronson, “Boundary conditions for diffuse light,” J. Opt. Soc. Am. A 12, 2532–2539 (1995).
    [Crossref]

2005 (3)

2004 (1)

V. A. Markel and J. C. Schotland, “Symmetries, inversion formulas and image reconstruction for optical tomography,” Phys. Rev. E 70, 056,616 (2004).
[Crossref]

2003 (12)

J. C. Hebden, “Advances in optical imaging of the newborn infant brain,” Psychophysiology 40, 501–510 (2003).
[Crossref] [PubMed]

A. M. Siegel, J. P. Culver, J. B. Mandeville, and D. A. Boas, “Temporal comparison of functional brain imaging with diffuse optical tomography and fMRI during rat forepaw stimulation,” Phys. Med. Biol. 48, 1391–1403 (2003).
[Crossref] [PubMed]

J. P. Culver, R. Choe, M. J. Holboke, L. Zubkov, T. Durduran, A. Slemp, V. Ntziachristos, B. Chance, and A. G. Yodh, “Three-dimensional diffuse optical tomography in the parallel plane transmission geometry: Evaluation of a hybrid frequency domain/continuous wave clinical system for breast imaging,” Med. Phys. 30, 235–247 (2003).
[Crossref] [PubMed]

Q. I. Zhu, M. M. Huang, N. G. Chen, K. Zarfos, B. Jagjivan, M. Kane, P. Hedge, and S. H. Kurtzman, “Ultrasound-guided optical tomographic imaging of malignant and benign breast lesions: Initial clinical results of 19 cases,” Neoplasia 5, 379–388 (2003).
[PubMed]

X. Intes, J. Ripoll, Y. Chen, S. Nioka, A. G. Yodh, and B. Chance, “In vivo continuous-wave optical breast imaging enhanced with Indocyanine Green,” Med. Phys. 30, 1039–1047 (2003).
[Crossref] [PubMed]

S. D. Jiang, B. W. Pogue, T. O. McBride, M. M. Doyley, S. P. Poplack, and K. D. Paulsen, “Near-infrared breast tomography calibration with optoelastic tissue simulating phantoms,” J. Electron. Imaging 12, 613–620 (2003).
[Crossref]

V. A. Markel, V. Mital, and J. C. Schotland, “The inverse problem in optical diffusion tomography. III. Inversion formulas and singular value decomposition,” J. Opt. Soc. Am. A 20, 890–902 (2003).
[Crossref]

G. Q. Yu, T. Durduran, D. Furuya, J. H. Greenberg, and A. G. Yodh, “Frequency-domain multiplexing system for in vivo diffuse light measurements of rapid cerebral hemodynamics,” Appl. Opt. 42, 2931–2939 (2003).
[Crossref] [PubMed]

Y. Xu, X. J. Gu, L. L. Fajardo, and H. B. Jiang, “In vivo breast imaging with diffuse optical tomography based on higher-order diffusion equations,” Appl. Opt. 42, 3163–3169 (2003).
[Crossref] [PubMed]

A. Li, E. L. Miller, M. E. Kilmer, T. J. Brukilacchio, T. Chaves, J. Stott, Q. Zhang, T. Wu, M. Chorlton, R. H. Moore, D. B. Kopans, and D. A. Boas, “Tomographic optical breast imaging guided by three-dimensional mammography,” Appl. Opt. 42, 5181–5190 (2003).
[Crossref] [PubMed]

R. Schulz, J. Ripoll, and V. Ntziachristos, “Noncontact optical tomography of turbid media,” Opt. Lett. 28, 1701–1703 (2003).
[Crossref] [PubMed]

J. P. Culver, A. M. Siegel, J. J. Stott, and D. A. Boas, “Volumetric diffuse optical tomography of brain activity,” Opt. Lett. 28, 2061–2063 (2003).
[Crossref] [PubMed]

2002 (4)

V. A. Markel and J. C. Schotland, “The inverse problem in optical diffusion tomography. II. Inversion with boundary conditions,” J. Opt. Soc. Am. A 19, 558–566 (2002).
[Crossref]

V. A. Markel and J. C. Schotland, “Effects of sampling and limited data in optical tomography,” Appl. Phys. Lett. 81, 1180–1182 (2002).
[Crossref]

G. Strangman, D. A. Boas, and J. P. Sutton, “Non-invasive neuroimaging using near-infrared light,” Biol. Psychiatry 52, 679–693 (2002).
[Crossref] [PubMed]

J. C. Hebden, A. Gibson, R. M. Yusof, N. Everdell, E. M. C. Hillman, D. T. Delpy, S. R. Arridge, T. Austin, J. H. Meek, and J. S. Wyatt, “Three-dimensional optical tomography of the premature infant brain,” Phys. Med. Biol. 47, 4155–4166 (2002).
[Crossref] [PubMed]

2001 (3)

2000 (1)

D. J. Hawrysz and E. M. Sevick-Muraca, “Developments toward diagnostic breast cancer imaging using near-infrared optical measurements and fluorescent contrast agants,” Neoplasia 2, 388–417 (2000).
[Crossref]

1999 (3)

S. B. Colak, M. B. van der Mark, G. W. Hooft, J. H. Hoogenraad, E. S. van der Linden, and F. A. Kuijpers, “Clinical optical tomography and NIR spectroscopy for breast cancer detection,” IEEE J. Sel. Top. Quantum Electron. 5, 1143–1158 (1999).
[Crossref]

M. C.W. van Rossum and T. M. Nieuwenhuizen, “Multiple scattering of classical waves: microscopy, mesoscopy and diffusion,” Rev. Mod. Phys. 71, 313–371 (1999).
[Crossref]

S. R. Arridge, “Optical tomography in medical imaging,” Inverse Problems 15, R41–R93 (1999).
[Crossref]

1997 (1)

1996 (1)

J. P. van Houten, W. F. Cheong, E. L. Kermit, T. R. Machold, D. K. Stevenson, and D. A. Benaron, “Clinical measurement of brain oxygenation and function using light-based optical tomography,” Pediatr. Res. 39, 2273–2273 (1996).
[Crossref]

1995 (1)

1994 (1)

D. A. Benaron, J. van Houten, D. C. Ho, S. D. Spilman, and D. K. Stevenson, “Imaging neonatal brain injury using light-based optical tomography,” Pediatr. Res. 35, A378–A378 (1994).

Abdoulaev, G.

Aronson, R.

Arridge, S. R.

A. P. Gibson, J. C. Hebden, and S. R. Arridge, “Recent advances in diffuse optical imaging,” Phys. Med. Biol. 50, R1–R43 (2005).
[Crossref] [PubMed]

J. C. Hebden, A. Gibson, R. M. Yusof, N. Everdell, E. M. C. Hillman, D. T. Delpy, S. R. Arridge, T. Austin, J. H. Meek, and J. S. Wyatt, “Three-dimensional optical tomography of the premature infant brain,” Phys. Med. Biol. 47, 4155–4166 (2002).
[Crossref] [PubMed]

S. R. Arridge, “Optical tomography in medical imaging,” Inverse Problems 15, R41–R93 (1999).
[Crossref]

Austin, T.

J. C. Hebden, A. Gibson, R. M. Yusof, N. Everdell, E. M. C. Hillman, D. T. Delpy, S. R. Arridge, T. Austin, J. H. Meek, and J. S. Wyatt, “Three-dimensional optical tomography of the premature infant brain,” Phys. Med. Biol. 47, 4155–4166 (2002).
[Crossref] [PubMed]

Barbour, R. L.

Benaron, D. A.

J. P. van Houten, W. F. Cheong, E. L. Kermit, T. R. Machold, D. K. Stevenson, and D. A. Benaron, “Clinical measurement of brain oxygenation and function using light-based optical tomography,” Pediatr. Res. 39, 2273–2273 (1996).
[Crossref]

D. A. Benaron, J. van Houten, D. C. Ho, S. D. Spilman, and D. K. Stevenson, “Imaging neonatal brain injury using light-based optical tomography,” Pediatr. Res. 35, A378–A378 (1994).

Bluestone, A. Y.

Boas, D. A.

A. Li, E. L. Miller, M. E. Kilmer, T. J. Brukilacchio, T. Chaves, J. Stott, Q. Zhang, T. Wu, M. Chorlton, R. H. Moore, D. B. Kopans, and D. A. Boas, “Tomographic optical breast imaging guided by three-dimensional mammography,” Appl. Opt. 42, 5181–5190 (2003).
[Crossref] [PubMed]

J. P. Culver, A. M. Siegel, J. J. Stott, and D. A. Boas, “Volumetric diffuse optical tomography of brain activity,” Opt. Lett. 28, 2061–2063 (2003).
[Crossref] [PubMed]

A. M. Siegel, J. P. Culver, J. B. Mandeville, and D. A. Boas, “Temporal comparison of functional brain imaging with diffuse optical tomography and fMRI during rat forepaw stimulation,” Phys. Med. Biol. 48, 1391–1403 (2003).
[Crossref] [PubMed]

G. Strangman, D. A. Boas, and J. P. Sutton, “Non-invasive neuroimaging using near-infrared light,” Biol. Psychiatry 52, 679–693 (2002).
[Crossref] [PubMed]

Brukilacchio, T. J.

Chance, B.

J. P. Culver, R. Choe, M. J. Holboke, L. Zubkov, T. Durduran, A. Slemp, V. Ntziachristos, B. Chance, and A. G. Yodh, “Three-dimensional diffuse optical tomography in the parallel plane transmission geometry: Evaluation of a hybrid frequency domain/continuous wave clinical system for breast imaging,” Med. Phys. 30, 235–247 (2003).
[Crossref] [PubMed]

X. Intes, J. Ripoll, Y. Chen, S. Nioka, A. G. Yodh, and B. Chance, “In vivo continuous-wave optical breast imaging enhanced with Indocyanine Green,” Med. Phys. 30, 1039–1047 (2003).
[Crossref] [PubMed]

A. Yodh and B. Chance, “Spectroscopy and imaging with diffuse light,” Phys. Today pp. 34–40 (1995).
[Crossref]

Chaves, T.

Chen, N. G.

Q. I. Zhu, M. M. Huang, N. G. Chen, K. Zarfos, B. Jagjivan, M. Kane, P. Hedge, and S. H. Kurtzman, “Ultrasound-guided optical tomographic imaging of malignant and benign breast lesions: Initial clinical results of 19 cases,” Neoplasia 5, 379–388 (2003).
[PubMed]

Chen, Y.

X. Intes, J. Ripoll, Y. Chen, S. Nioka, A. G. Yodh, and B. Chance, “In vivo continuous-wave optical breast imaging enhanced with Indocyanine Green,” Med. Phys. 30, 1039–1047 (2003).
[Crossref] [PubMed]

Cheong, W. F.

J. P. van Houten, W. F. Cheong, E. L. Kermit, T. R. Machold, D. K. Stevenson, and D. A. Benaron, “Clinical measurement of brain oxygenation and function using light-based optical tomography,” Pediatr. Res. 39, 2273–2273 (1996).
[Crossref]

Choe, R.

J. P. Culver, R. Choe, M. J. Holboke, L. Zubkov, T. Durduran, A. Slemp, V. Ntziachristos, B. Chance, and A. G. Yodh, “Three-dimensional diffuse optical tomography in the parallel plane transmission geometry: Evaluation of a hybrid frequency domain/continuous wave clinical system for breast imaging,” Med. Phys. 30, 235–247 (2003).
[Crossref] [PubMed]

R. Choe, “Diffuse Optical Tomography and Spectroscopy of Breast Cancer and Fetal Brain,” Ph.D. thesis, University of Pennsylvania (2005).

Chorlton, M.

Colak, S. B.

S. B. Colak, M. B. van der Mark, G. W. Hooft, J. H. Hoogenraad, E. S. van der Linden, and F. A. Kuijpers, “Clinical optical tomography and NIR spectroscopy for breast cancer detection,” IEEE J. Sel. Top. Quantum Electron. 5, 1143–1158 (1999).
[Crossref]

Culver, J. P.

J. P. Culver, A. M. Siegel, J. J. Stott, and D. A. Boas, “Volumetric diffuse optical tomography of brain activity,” Opt. Lett. 28, 2061–2063 (2003).
[Crossref] [PubMed]

A. M. Siegel, J. P. Culver, J. B. Mandeville, and D. A. Boas, “Temporal comparison of functional brain imaging with diffuse optical tomography and fMRI during rat forepaw stimulation,” Phys. Med. Biol. 48, 1391–1403 (2003).
[Crossref] [PubMed]

J. P. Culver, R. Choe, M. J. Holboke, L. Zubkov, T. Durduran, A. Slemp, V. Ntziachristos, B. Chance, and A. G. Yodh, “Three-dimensional diffuse optical tomography in the parallel plane transmission geometry: Evaluation of a hybrid frequency domain/continuous wave clinical system for breast imaging,” Med. Phys. 30, 235–247 (2003).
[Crossref] [PubMed]

Delpy, D. T.

J. C. Hebden, A. Gibson, R. M. Yusof, N. Everdell, E. M. C. Hillman, D. T. Delpy, S. R. Arridge, T. Austin, J. H. Meek, and J. S. Wyatt, “Three-dimensional optical tomography of the premature infant brain,” Phys. Med. Biol. 47, 4155–4166 (2002).
[Crossref] [PubMed]

Doyley, M. M.

S. D. Jiang, B. W. Pogue, T. O. McBride, M. M. Doyley, S. P. Poplack, and K. D. Paulsen, “Near-infrared breast tomography calibration with optoelastic tissue simulating phantoms,” J. Electron. Imaging 12, 613–620 (2003).
[Crossref]

Durduran, T.

J. P. Culver, R. Choe, M. J. Holboke, L. Zubkov, T. Durduran, A. Slemp, V. Ntziachristos, B. Chance, and A. G. Yodh, “Three-dimensional diffuse optical tomography in the parallel plane transmission geometry: Evaluation of a hybrid frequency domain/continuous wave clinical system for breast imaging,” Med. Phys. 30, 235–247 (2003).
[Crossref] [PubMed]

G. Q. Yu, T. Durduran, D. Furuya, J. H. Greenberg, and A. G. Yodh, “Frequency-domain multiplexing system for in vivo diffuse light measurements of rapid cerebral hemodynamics,” Appl. Opt. 42, 2931–2939 (2003).
[Crossref] [PubMed]

Everdell, N.

J. C. Hebden, A. Gibson, R. M. Yusof, N. Everdell, E. M. C. Hillman, D. T. Delpy, S. R. Arridge, T. Austin, J. H. Meek, and J. S. Wyatt, “Three-dimensional optical tomography of the premature infant brain,” Phys. Med. Biol. 47, 4155–4166 (2002).
[Crossref] [PubMed]

Fajardo, L. L.

Furuya, D.

Gibson, A.

J. C. Hebden, A. Gibson, R. M. Yusof, N. Everdell, E. M. C. Hillman, D. T. Delpy, S. R. Arridge, T. Austin, J. H. Meek, and J. S. Wyatt, “Three-dimensional optical tomography of the premature infant brain,” Phys. Med. Biol. 47, 4155–4166 (2002).
[Crossref] [PubMed]

Gibson, A. P.

A. P. Gibson, J. C. Hebden, and S. R. Arridge, “Recent advances in diffuse optical imaging,” Phys. Med. Biol. 50, R1–R43 (2005).
[Crossref] [PubMed]

Greenberg, J. H.

Gu, X. J.

Hawrysz, D. J.

D. J. Hawrysz and E. M. Sevick-Muraca, “Developments toward diagnostic breast cancer imaging using near-infrared optical measurements and fluorescent contrast agants,” Neoplasia 2, 388–417 (2000).
[Crossref]

Hebden, J. C.

A. P. Gibson, J. C. Hebden, and S. R. Arridge, “Recent advances in diffuse optical imaging,” Phys. Med. Biol. 50, R1–R43 (2005).
[Crossref] [PubMed]

J. C. Hebden, “Advances in optical imaging of the newborn infant brain,” Psychophysiology 40, 501–510 (2003).
[Crossref] [PubMed]

J. C. Hebden, A. Gibson, R. M. Yusof, N. Everdell, E. M. C. Hillman, D. T. Delpy, S. R. Arridge, T. Austin, J. H. Meek, and J. S. Wyatt, “Three-dimensional optical tomography of the premature infant brain,” Phys. Med. Biol. 47, 4155–4166 (2002).
[Crossref] [PubMed]

Hedge, P.

Q. I. Zhu, M. M. Huang, N. G. Chen, K. Zarfos, B. Jagjivan, M. Kane, P. Hedge, and S. H. Kurtzman, “Ultrasound-guided optical tomographic imaging of malignant and benign breast lesions: Initial clinical results of 19 cases,” Neoplasia 5, 379–388 (2003).
[PubMed]

Hielscher, A. H.

Hillman, E. M. C.

J. C. Hebden, A. Gibson, R. M. Yusof, N. Everdell, E. M. C. Hillman, D. T. Delpy, S. R. Arridge, T. Austin, J. H. Meek, and J. S. Wyatt, “Three-dimensional optical tomography of the premature infant brain,” Phys. Med. Biol. 47, 4155–4166 (2002).
[Crossref] [PubMed]

Ho, D. C.

D. A. Benaron, J. van Houten, D. C. Ho, S. D. Spilman, and D. K. Stevenson, “Imaging neonatal brain injury using light-based optical tomography,” Pediatr. Res. 35, A378–A378 (1994).

Holboke, M. J.

J. P. Culver, R. Choe, M. J. Holboke, L. Zubkov, T. Durduran, A. Slemp, V. Ntziachristos, B. Chance, and A. G. Yodh, “Three-dimensional diffuse optical tomography in the parallel plane transmission geometry: Evaluation of a hybrid frequency domain/continuous wave clinical system for breast imaging,” Med. Phys. 30, 235–247 (2003).
[Crossref] [PubMed]

Hooft, G. W.

S. B. Colak, M. B. van der Mark, G. W. Hooft, J. H. Hoogenraad, E. S. van der Linden, and F. A. Kuijpers, “Clinical optical tomography and NIR spectroscopy for breast cancer detection,” IEEE J. Sel. Top. Quantum Electron. 5, 1143–1158 (1999).
[Crossref]

Hoogenraad, J. H.

S. B. Colak, M. B. van der Mark, G. W. Hooft, J. H. Hoogenraad, E. S. van der Linden, and F. A. Kuijpers, “Clinical optical tomography and NIR spectroscopy for breast cancer detection,” IEEE J. Sel. Top. Quantum Electron. 5, 1143–1158 (1999).
[Crossref]

Huang, M. M.

Q. I. Zhu, M. M. Huang, N. G. Chen, K. Zarfos, B. Jagjivan, M. Kane, P. Hedge, and S. H. Kurtzman, “Ultrasound-guided optical tomographic imaging of malignant and benign breast lesions: Initial clinical results of 19 cases,” Neoplasia 5, 379–388 (2003).
[PubMed]

Intes, X.

X. Intes, J. Ripoll, Y. Chen, S. Nioka, A. G. Yodh, and B. Chance, “In vivo continuous-wave optical breast imaging enhanced with Indocyanine Green,” Med. Phys. 30, 1039–1047 (2003).
[Crossref] [PubMed]

Ishimaru, A.

A. Ishimaru, Wave Propagation and Scattering in Random Media (IEEE Press, Piscataway, NJ, 1997).

Jagjivan, B.

Q. I. Zhu, M. M. Huang, N. G. Chen, K. Zarfos, B. Jagjivan, M. Kane, P. Hedge, and S. H. Kurtzman, “Ultrasound-guided optical tomographic imaging of malignant and benign breast lesions: Initial clinical results of 19 cases,” Neoplasia 5, 379–388 (2003).
[PubMed]

Jiang, H. B.

Jiang, S. D.

S. D. Jiang, B. W. Pogue, T. O. McBride, M. M. Doyley, S. P. Poplack, and K. D. Paulsen, “Near-infrared breast tomography calibration with optoelastic tissue simulating phantoms,” J. Electron. Imaging 12, 613–620 (2003).
[Crossref]

Kane, M.

Q. I. Zhu, M. M. Huang, N. G. Chen, K. Zarfos, B. Jagjivan, M. Kane, P. Hedge, and S. H. Kurtzman, “Ultrasound-guided optical tomographic imaging of malignant and benign breast lesions: Initial clinical results of 19 cases,” Neoplasia 5, 379–388 (2003).
[PubMed]

Kermit, E. L.

J. P. van Houten, W. F. Cheong, E. L. Kermit, T. R. Machold, D. K. Stevenson, and D. A. Benaron, “Clinical measurement of brain oxygenation and function using light-based optical tomography,” Pediatr. Res. 39, 2273–2273 (1996).
[Crossref]

Kilmer, M. E.

Kopans, D. B.

Kuijpers, F. A.

S. B. Colak, M. B. van der Mark, G. W. Hooft, J. H. Hoogenraad, E. S. van der Linden, and F. A. Kuijpers, “Clinical optical tomography and NIR spectroscopy for breast cancer detection,” IEEE J. Sel. Top. Quantum Electron. 5, 1143–1158 (1999).
[Crossref]

Kurtzman, S. H.

Q. I. Zhu, M. M. Huang, N. G. Chen, K. Zarfos, B. Jagjivan, M. Kane, P. Hedge, and S. H. Kurtzman, “Ultrasound-guided optical tomographic imaging of malignant and benign breast lesions: Initial clinical results of 19 cases,” Neoplasia 5, 379–388 (2003).
[PubMed]

Li, A.

Machold, T. R.

J. P. van Houten, W. F. Cheong, E. L. Kermit, T. R. Machold, D. K. Stevenson, and D. A. Benaron, “Clinical measurement of brain oxygenation and function using light-based optical tomography,” Pediatr. Res. 39, 2273–2273 (1996).
[Crossref]

Mandeville, J. B.

A. M. Siegel, J. P. Culver, J. B. Mandeville, and D. A. Boas, “Temporal comparison of functional brain imaging with diffuse optical tomography and fMRI during rat forepaw stimulation,” Phys. Med. Biol. 48, 1391–1403 (2003).
[Crossref] [PubMed]

Markel, V. A.

McBride, T. O.

S. D. Jiang, B. W. Pogue, T. O. McBride, M. M. Doyley, S. P. Poplack, and K. D. Paulsen, “Near-infrared breast tomography calibration with optoelastic tissue simulating phantoms,” J. Electron. Imaging 12, 613–620 (2003).
[Crossref]

Meek, J. H.

J. C. Hebden, A. Gibson, R. M. Yusof, N. Everdell, E. M. C. Hillman, D. T. Delpy, S. R. Arridge, T. Austin, J. H. Meek, and J. S. Wyatt, “Three-dimensional optical tomography of the premature infant brain,” Phys. Med. Biol. 47, 4155–4166 (2002).
[Crossref] [PubMed]

Miller, E. L.

Mital, V.

Moore, R. H.

Nieuwenhuizen, T. M.

M. C.W. van Rossum and T. M. Nieuwenhuizen, “Multiple scattering of classical waves: microscopy, mesoscopy and diffusion,” Rev. Mod. Phys. 71, 313–371 (1999).
[Crossref]

Nioka, S.

X. Intes, J. Ripoll, Y. Chen, S. Nioka, A. G. Yodh, and B. Chance, “In vivo continuous-wave optical breast imaging enhanced with Indocyanine Green,” Med. Phys. 30, 1039–1047 (2003).
[Crossref] [PubMed]

Ntziachristos, V.

G. Turner, G. Zacharakis, A. Soubret, J. Ripoll, and V. Ntziachristos, “Complete-angle projection diffuse optical tomography by use of early photons,” Opt. Lett. 30, 409–411 (2005).
[Crossref] [PubMed]

J. P. Culver, R. Choe, M. J. Holboke, L. Zubkov, T. Durduran, A. Slemp, V. Ntziachristos, B. Chance, and A. G. Yodh, “Three-dimensional diffuse optical tomography in the parallel plane transmission geometry: Evaluation of a hybrid frequency domain/continuous wave clinical system for breast imaging,” Med. Phys. 30, 235–247 (2003).
[Crossref] [PubMed]

R. Schulz, J. Ripoll, and V. Ntziachristos, “Noncontact optical tomography of turbid media,” Opt. Lett. 28, 1701–1703 (2003).
[Crossref] [PubMed]

Panasyuk, G. Y.

Paulsen, K. D.

S. D. Jiang, B. W. Pogue, T. O. McBride, M. M. Doyley, S. P. Poplack, and K. D. Paulsen, “Near-infrared breast tomography calibration with optoelastic tissue simulating phantoms,” J. Electron. Imaging 12, 613–620 (2003).
[Crossref]

Pogue, B. W.

S. D. Jiang, B. W. Pogue, T. O. McBride, M. M. Doyley, S. P. Poplack, and K. D. Paulsen, “Near-infrared breast tomography calibration with optoelastic tissue simulating phantoms,” J. Electron. Imaging 12, 613–620 (2003).
[Crossref]

Poplack, S. P.

S. D. Jiang, B. W. Pogue, T. O. McBride, M. M. Doyley, S. P. Poplack, and K. D. Paulsen, “Near-infrared breast tomography calibration with optoelastic tissue simulating phantoms,” J. Electron. Imaging 12, 613–620 (2003).
[Crossref]

Ripoll, J.

Schmitz, C. H.

Schotland, J. C.

Schulz, R.

Sevick-Muraca, E. M.

D. J. Hawrysz and E. M. Sevick-Muraca, “Developments toward diagnostic breast cancer imaging using near-infrared optical measurements and fluorescent contrast agants,” Neoplasia 2, 388–417 (2000).
[Crossref]

Siegel, A. M.

J. P. Culver, A. M. Siegel, J. J. Stott, and D. A. Boas, “Volumetric diffuse optical tomography of brain activity,” Opt. Lett. 28, 2061–2063 (2003).
[Crossref] [PubMed]

A. M. Siegel, J. P. Culver, J. B. Mandeville, and D. A. Boas, “Temporal comparison of functional brain imaging with diffuse optical tomography and fMRI during rat forepaw stimulation,” Phys. Med. Biol. 48, 1391–1403 (2003).
[Crossref] [PubMed]

Slemp, A.

J. P. Culver, R. Choe, M. J. Holboke, L. Zubkov, T. Durduran, A. Slemp, V. Ntziachristos, B. Chance, and A. G. Yodh, “Three-dimensional diffuse optical tomography in the parallel plane transmission geometry: Evaluation of a hybrid frequency domain/continuous wave clinical system for breast imaging,” Med. Phys. 30, 235–247 (2003).
[Crossref] [PubMed]

Soubret, A.

Spilman, S. D.

D. A. Benaron, J. van Houten, D. C. Ho, S. D. Spilman, and D. K. Stevenson, “Imaging neonatal brain injury using light-based optical tomography,” Pediatr. Res. 35, A378–A378 (1994).

Stevenson, D. K.

J. P. van Houten, W. F. Cheong, E. L. Kermit, T. R. Machold, D. K. Stevenson, and D. A. Benaron, “Clinical measurement of brain oxygenation and function using light-based optical tomography,” Pediatr. Res. 39, 2273–2273 (1996).
[Crossref]

D. A. Benaron, J. van Houten, D. C. Ho, S. D. Spilman, and D. K. Stevenson, “Imaging neonatal brain injury using light-based optical tomography,” Pediatr. Res. 35, A378–A378 (1994).

Stott, J.

Stott, J. J.

Strangman, G.

G. Strangman, D. A. Boas, and J. P. Sutton, “Non-invasive neuroimaging using near-infrared light,” Biol. Psychiatry 52, 679–693 (2002).
[Crossref] [PubMed]

Sutton, J. P.

G. Strangman, D. A. Boas, and J. P. Sutton, “Non-invasive neuroimaging using near-infrared light,” Biol. Psychiatry 52, 679–693 (2002).
[Crossref] [PubMed]

Turner, G.

van der Linden, E. S.

S. B. Colak, M. B. van der Mark, G. W. Hooft, J. H. Hoogenraad, E. S. van der Linden, and F. A. Kuijpers, “Clinical optical tomography and NIR spectroscopy for breast cancer detection,” IEEE J. Sel. Top. Quantum Electron. 5, 1143–1158 (1999).
[Crossref]

van der Mark, M. B.

S. B. Colak, M. B. van der Mark, G. W. Hooft, J. H. Hoogenraad, E. S. van der Linden, and F. A. Kuijpers, “Clinical optical tomography and NIR spectroscopy for breast cancer detection,” IEEE J. Sel. Top. Quantum Electron. 5, 1143–1158 (1999).
[Crossref]

van Houten, J.

D. A. Benaron, J. van Houten, D. C. Ho, S. D. Spilman, and D. K. Stevenson, “Imaging neonatal brain injury using light-based optical tomography,” Pediatr. Res. 35, A378–A378 (1994).

van Houten, J. P.

J. P. van Houten, W. F. Cheong, E. L. Kermit, T. R. Machold, D. K. Stevenson, and D. A. Benaron, “Clinical measurement of brain oxygenation and function using light-based optical tomography,” Pediatr. Res. 39, 2273–2273 (1996).
[Crossref]

van Rossum, M. C.W.

M. C.W. van Rossum and T. M. Nieuwenhuizen, “Multiple scattering of classical waves: microscopy, mesoscopy and diffusion,” Rev. Mod. Phys. 71, 313–371 (1999).
[Crossref]

Wang, Z.-M.

Wu, T.

Wyatt, J. S.

J. C. Hebden, A. Gibson, R. M. Yusof, N. Everdell, E. M. C. Hillman, D. T. Delpy, S. R. Arridge, T. Austin, J. H. Meek, and J. S. Wyatt, “Three-dimensional optical tomography of the premature infant brain,” Phys. Med. Biol. 47, 4155–4166 (2002).
[Crossref] [PubMed]

Xu, Y.

Yodh, A.

A. Yodh and B. Chance, “Spectroscopy and imaging with diffuse light,” Phys. Today pp. 34–40 (1995).
[Crossref]

Yodh, A. G.

G. Q. Yu, T. Durduran, D. Furuya, J. H. Greenberg, and A. G. Yodh, “Frequency-domain multiplexing system for in vivo diffuse light measurements of rapid cerebral hemodynamics,” Appl. Opt. 42, 2931–2939 (2003).
[Crossref] [PubMed]

J. P. Culver, R. Choe, M. J. Holboke, L. Zubkov, T. Durduran, A. Slemp, V. Ntziachristos, B. Chance, and A. G. Yodh, “Three-dimensional diffuse optical tomography in the parallel plane transmission geometry: Evaluation of a hybrid frequency domain/continuous wave clinical system for breast imaging,” Med. Phys. 30, 235–247 (2003).
[Crossref] [PubMed]

X. Intes, J. Ripoll, Y. Chen, S. Nioka, A. G. Yodh, and B. Chance, “In vivo continuous-wave optical breast imaging enhanced with Indocyanine Green,” Med. Phys. 30, 1039–1047 (2003).
[Crossref] [PubMed]

Yu, G. Q.

Yusof, R. M.

J. C. Hebden, A. Gibson, R. M. Yusof, N. Everdell, E. M. C. Hillman, D. T. Delpy, S. R. Arridge, T. Austin, J. H. Meek, and J. S. Wyatt, “Three-dimensional optical tomography of the premature infant brain,” Phys. Med. Biol. 47, 4155–4166 (2002).
[Crossref] [PubMed]

Zacharakis, G.

Zarfos, K.

Q. I. Zhu, M. M. Huang, N. G. Chen, K. Zarfos, B. Jagjivan, M. Kane, P. Hedge, and S. H. Kurtzman, “Ultrasound-guided optical tomographic imaging of malignant and benign breast lesions: Initial clinical results of 19 cases,” Neoplasia 5, 379–388 (2003).
[PubMed]

Zhang, Q.

Zhu, Q. I.

Q. I. Zhu, M. M. Huang, N. G. Chen, K. Zarfos, B. Jagjivan, M. Kane, P. Hedge, and S. H. Kurtzman, “Ultrasound-guided optical tomographic imaging of malignant and benign breast lesions: Initial clinical results of 19 cases,” Neoplasia 5, 379–388 (2003).
[PubMed]

Zubkov, L.

J. P. Culver, R. Choe, M. J. Holboke, L. Zubkov, T. Durduran, A. Slemp, V. Ntziachristos, B. Chance, and A. G. Yodh, “Three-dimensional diffuse optical tomography in the parallel plane transmission geometry: Evaluation of a hybrid frequency domain/continuous wave clinical system for breast imaging,” Med. Phys. 30, 235–247 (2003).
[Crossref] [PubMed]

Appl. Opt. (3)

Appl. Phys. Lett. (1)

V. A. Markel and J. C. Schotland, “Effects of sampling and limited data in optical tomography,” Appl. Phys. Lett. 81, 1180–1182 (2002).
[Crossref]

Biol. Psychiatry (1)

G. Strangman, D. A. Boas, and J. P. Sutton, “Non-invasive neuroimaging using near-infrared light,” Biol. Psychiatry 52, 679–693 (2002).
[Crossref] [PubMed]

IEEE J. Sel. Top. Quantum Electron. (1)

S. B. Colak, M. B. van der Mark, G. W. Hooft, J. H. Hoogenraad, E. S. van der Linden, and F. A. Kuijpers, “Clinical optical tomography and NIR spectroscopy for breast cancer detection,” IEEE J. Sel. Top. Quantum Electron. 5, 1143–1158 (1999).
[Crossref]

Inverse Problems (1)

S. R. Arridge, “Optical tomography in medical imaging,” Inverse Problems 15, R41–R93 (1999).
[Crossref]

J. Electron. Imaging (1)

S. D. Jiang, B. W. Pogue, T. O. McBride, M. M. Doyley, S. P. Poplack, and K. D. Paulsen, “Near-infrared breast tomography calibration with optoelastic tissue simulating phantoms,” J. Electron. Imaging 12, 613–620 (2003).
[Crossref]

J. Opt. Soc. Am. A (5)

Med. Phys. (2)

X. Intes, J. Ripoll, Y. Chen, S. Nioka, A. G. Yodh, and B. Chance, “In vivo continuous-wave optical breast imaging enhanced with Indocyanine Green,” Med. Phys. 30, 1039–1047 (2003).
[Crossref] [PubMed]

J. P. Culver, R. Choe, M. J. Holboke, L. Zubkov, T. Durduran, A. Slemp, V. Ntziachristos, B. Chance, and A. G. Yodh, “Three-dimensional diffuse optical tomography in the parallel plane transmission geometry: Evaluation of a hybrid frequency domain/continuous wave clinical system for breast imaging,” Med. Phys. 30, 235–247 (2003).
[Crossref] [PubMed]

Neoplasia (2)

Q. I. Zhu, M. M. Huang, N. G. Chen, K. Zarfos, B. Jagjivan, M. Kane, P. Hedge, and S. H. Kurtzman, “Ultrasound-guided optical tomographic imaging of malignant and benign breast lesions: Initial clinical results of 19 cases,” Neoplasia 5, 379–388 (2003).
[PubMed]

D. J. Hawrysz and E. M. Sevick-Muraca, “Developments toward diagnostic breast cancer imaging using near-infrared optical measurements and fluorescent contrast agants,” Neoplasia 2, 388–417 (2000).
[Crossref]

Opt. Express (1)

Opt. Lett. (4)

Pediatr. Res. (2)

D. A. Benaron, J. van Houten, D. C. Ho, S. D. Spilman, and D. K. Stevenson, “Imaging neonatal brain injury using light-based optical tomography,” Pediatr. Res. 35, A378–A378 (1994).

J. P. van Houten, W. F. Cheong, E. L. Kermit, T. R. Machold, D. K. Stevenson, and D. A. Benaron, “Clinical measurement of brain oxygenation and function using light-based optical tomography,” Pediatr. Res. 39, 2273–2273 (1996).
[Crossref]

Phys. Med. Biol. (3)

J. C. Hebden, A. Gibson, R. M. Yusof, N. Everdell, E. M. C. Hillman, D. T. Delpy, S. R. Arridge, T. Austin, J. H. Meek, and J. S. Wyatt, “Three-dimensional optical tomography of the premature infant brain,” Phys. Med. Biol. 47, 4155–4166 (2002).
[Crossref] [PubMed]

A. P. Gibson, J. C. Hebden, and S. R. Arridge, “Recent advances in diffuse optical imaging,” Phys. Med. Biol. 50, R1–R43 (2005).
[Crossref] [PubMed]

A. M. Siegel, J. P. Culver, J. B. Mandeville, and D. A. Boas, “Temporal comparison of functional brain imaging with diffuse optical tomography and fMRI during rat forepaw stimulation,” Phys. Med. Biol. 48, 1391–1403 (2003).
[Crossref] [PubMed]

Phys. Rev. E (2)

V. A. Markel and J. C. Schotland, “Inverse scattering for the diffusion equation with general boundary conditions,” Phys. Rev. E 64, R035,601 (2001).
[Crossref]

V. A. Markel and J. C. Schotland, “Symmetries, inversion formulas and image reconstruction for optical tomography,” Phys. Rev. E 70, 056,616 (2004).
[Crossref]

Psychophysiology (1)

J. C. Hebden, “Advances in optical imaging of the newborn infant brain,” Psychophysiology 40, 501–510 (2003).
[Crossref] [PubMed]

Rev. Mod. Phys. (1)

M. C.W. van Rossum and T. M. Nieuwenhuizen, “Multiple scattering of classical waves: microscopy, mesoscopy and diffusion,” Rev. Mod. Phys. 71, 313–371 (1999).
[Crossref]

Other (3)

A. Yodh and B. Chance, “Spectroscopy and imaging with diffuse light,” Phys. Today pp. 34–40 (1995).
[Crossref]

R. Choe, “Diffuse Optical Tomography and Spectroscopy of Breast Cancer and Fetal Brain,” Ph.D. thesis, University of Pennsylvania (2005).

A. Ishimaru, Wave Propagation and Scattering in Random Media (IEEE Press, Piscataway, NJ, 1997).

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Figures (6)

Fig. 1.
Fig. 1. Slices from three dimensional image reconstructions of the relative absorption coefficient (δµa /µ (0) a ) for targets suspended in a 6 cmthick slab filled with highly scattering fluid. The three slices shown for each reconstruction correspond to depths of 1 cm (left), 3 cm (middle), and 5 cm (right) from the source plane. The field of view in each slice is 16 cm×16 cm. The quantity plotted is δµa /µ (0) a (a) Schematics of the positions of the letters during the experiments. Left: The target consists of letters “DOT” and “PENN”, suspended 1 cm and 5 cm from the source plane, respectively. Right: The target consists only of the letters “DOT” suspended 3 cm from the source plane, i.e., in the center of the slab. (b) Reconstructed image of the letters “DOT” and “PENN” (c) Reconstructed image of the letters “DOT”.

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Fig. 2.
Fig. 2. Representative CCD data for the image reconstructions shown in Fig. 1. Each image corresponds to the measured light intensity for a single source beam position. The left column shows the reference intensity I 0 when the target is not present (scattering fluid only). The middle column shows the intensity I when the target is present. The right column shows the Rytov data, ϕ=-log(I/I 0), which is used in the reconstruction algorithm. (a) The target consists of the letters “DOT” and “PENN” (b) The target consists of the letters “DOT” only

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Fig. 3.
Fig. 3. Reconstructed images of bar targets. Only slices drawn at the depth of the actual target are shown. (a) 7 mm to 9 mm bar targets located in the center of the tank. Here d denotes the width of the individual bars in the targets. (b) The 7 mm bar target located 1 cm from the source (left) and detector (right) planes.

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Fig. 4.
Fig. 4. Images of the 8 mm bar target from a single experiment. All reconstruction parameters are held fixed except for the number of measurements used. From left to right, correspond to N=8×106, 2×106, and 5×105 measurements were used for the reconstruction.

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Fig. 5.
Fig. 5. Reconstructed contrast of the absorption coefficient µa /µ (0) a between the cylinder and the tank vs. the expected contrast.

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Fig. 6.
Fig. 6. Power spectra of the data function |Ψ(q)|2 (defined in the text) for a small absorber located in the center of the tank. The different curves correspond to simulated ideal data, simulated data from finite grids of sources and detectors, simulated data with background noise, simulated data with shot noise, and to experimental data, as indicated.

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Equations (13)

Equations on this page are rendered with MathJax. Learn more.

[ − ∇ · D ( r ) ∇ + c μ a ( r ) ] u ( r ) = S ( r ) .
u + ℓ n ̂ · ∇ u = 0 ,
[ − D ( 0 ) ∇ 2 + c μ a ( r ) ] G ( r , r ′ ) = δ ( r − r ′ )
G ( r d , r s ) = G 0 ( r d , r s ) − ∫ V G 0 ( r d , r ) c δ μ a ( r ) G ( r , r s ) d 3 r ,
ϕ ( r d , r s ) = − G 0 ( r d , r s ) 1 n [ T ( r d , r s ) ] ,
ϕ ( r d , r s ) = ∫ V G 0 ( r d , r ) c δ μ a ( r ) G 0 ( r , r s ) d 3 r .
G 0 ( ρ , z ; ρ ′ , z ′ ) = ∫ g ( q ; z , z ′ ) exp ⁡ [ i q · ( ρ ′ − ρ ) ] d 2 q ( 2 π ) 2 ,
ϕ ∼ ( q d , q s ) = c ∫ z d z s g ( q s ; z s z ) g ( q d ; z , z d ) δ μ ~ a ( q s + q d , z ) d z ,
ϕ ~ ( q d , q s ) = ∑ ρ d , ρ s ϕ ( ρ d , z d ; ρ s , z s ) exp ⁡ [ i ( ρ d · q d + ρ s · q s ) ] ,
δ μ ~ a ( q , z ) = ∫ δ μ a ( ρ , z ) exp ⁡ ( i ρ · q ) d 2 ρ .
ψ ( q , p ) = ∫ z d z s κ ( q , p ; z ) δ μ ~ a ( q , z ) d z ,
ϕ noise ( r s , r d ) = ϕ ( r s , r d ) + σ data ( r s , r d ) R .
ψ(q,p)=hκ(q,p)δ μ ˜ a (q, z 0 ).

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