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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 20, Iss. 10 — Oct. 1, 2003
  • pp: 1859–1866

Optoacoustic diffraction tomography: analysis of algorithms

Stephen J. Norton and Tuan Vo-Dinh  »View Author Affiliations


JOSA A, Vol. 20, Issue 10, pp. 1859-1866 (2003)
http://dx.doi.org/10.1364/JOSAA.20.001859


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Abstract

We consider the problem of using the photoacoustic effect to image the optical properties of tissue. A region of tissue is assumed to be illuminated by frequency-modulated light that creates an ultrasonic wave of the same frequency. This wave is detected on a passive array of receiving transducers distributed over a circular or a cylindrical aperture. If the frequency is swept over a broad band (or, equivalently, if we illuminate with a pulse and Fourier transform the response), then a spatial map of a parameter that depends on the optical absorption coefficient of the tissue can be recovered. Analytical inversion formulas are derived in both two and three dimensions. The effects of band-limited data on image quality are also investigated.

© 2003 Optical Society of America

OCIS Codes
(110.5120) Imaging systems : Photoacoustic imaging
(110.6960) Imaging systems : Tomography
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(170.5120) Medical optics and biotechnology : Photoacoustic imaging
(170.6960) Medical optics and biotechnology : Tomography

History
Original Manuscript: March 27, 2003
Revised Manuscript: June 16, 2003
Manuscript Accepted: June 16, 2003
Published: October 1, 2003

Citation
Stephen J. Norton and Tuan Vo-Dinh, "Optoacoustic diffraction tomography: analysis of algorithms," J. Opt. Soc. Am. A 20, 1859-1866 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-10-1859


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References

  1. T. Vo-Dinh, ed., Biomedical Photonics Handbook (CRC Press, Boca Raton, Fla., 2003).
  2. R. A. Kruger, P. Liu, “Photoacoustic ultrasound: theory,” in Laser–Tissue Interaction V, S. L. Jacques, ed., Proc. SPIE2134A, 114–118 (1994).
  3. A. A. Oraevsky, R. O. Esenaliev, S. L. Jacques, F. K. Tittel, “Laser optic-acoustic tomography for medical diagnostics: principles,” in Biomedical Sensing, Imaging, and Tracking Technologies I, R. A. Lieberman, H. Podbielska, T. Vo-Dinh, eds. Proc. SPIE2676, 22–31 (1996). [CrossRef]
  4. C. G. A. Hoelen, F. F. M. de Mul, R. Pongers, A. Dekker, “Three-dimensional photoacoustic imaging of blood vessels in tissue,” Opt. Lett. 23, 648–650 (1998). [CrossRef]
  5. F. A. Marks, H. W. Tomlinson, G. W. Brooksby, “A comprehensive approach to breast cancer detection using light: photon localization by ultrasound modulation and tissue characterization by spectral discrimination,” in Photon Migration and Imaging in Random Media and Tissues, B. Chance, R. R. Alfano, eds., Proc. SPIE1888, 500–510 (1993). [CrossRef]
  6. M. Kempe, M. Larionov, D. Zaslavsky, A. Z. Genack, “Acousto-optic tomography with multiply scattered light,” J. Opt. Soc. Am. A 14, 1151–1158 (1997). [CrossRef]
  7. S. Leveque-Fort, J. Selb, L. Pottier, A. C. Boccara, “In situ local tissue characterization and imaging by backscattering acousto-optic imaging,” Opt. Commun. 196, 127–131 (2001). [CrossRef]
  8. J. Mobley, B. M. Cullum, T. Vo-Dinh, “Method for the simultaneous acquisition of photoacoustic and ultrasonic spectra,” in Biomedical Diagnostic, Guidance, and Surgical Assist Systems II, T. Vo-Dinh, W. S. Grunfest, D. A. Benaron, eds., Proc. SPIE3911, (2000). [CrossRef]
  9. J. Mobley, B. M. Cullum, T. Vo-Dinh, “Ultrasonic diffraction in the design of photoacoustic probes,” in Biomedical Diagnostic, Guidance, and Surgical Assist Systems III, T. Vo-Dinh, W. S. Grunfest, D. A. Benaron, eds., Proc. SPIE4254, 151–163 (2001). [CrossRef]
  10. J. Mobley, T. Vo-Dinh, “Opto-ultrasonic system for generation of ultrasound and optical detection,” in Biomedical Diagnostic, Guidance, and Surgical Assist Systems IV, T. Vo-Dinh, W. S. Grunfest, D. A. Benaron, eds., Proc. SPIE4615, 173–179 (2002). [CrossRef]
  11. S. J. Norton, M. Linzer, “Ultrasonic reflectivity imaging in three dimensions: Exact inverse scattering solutions for plane, cylindrical and spherical apertures,” IEEE Trans. Biomed. Eng. BME-28, 202–220 (1981). [CrossRef]
  12. Y. Xu, M. Xu, L. V. Wang, “Exact frequency-domain reconstruction for thermoacoustic tomography—II: cylindrical geometry,” IEEE Trans. Med. Imaging 21, 829–833 (2002). [CrossRef] [PubMed]
  13. A. C. Tam, “Applications of photoacoustic sensing techniques,” Rev. Mod. Phys. 58, 381–430 (1986). [CrossRef]
  14. In the 600–1000-nm near-infrared window, the intensity distribution I(r) is dominated primarily by multiple scattering within the tissue and to a lesser extent by optical absorption. A reasonable assumption is that the intensity distribution in the tissue, for the purpose of computing I(r), is dominated entirely by the multiple scattering. One would expect that a good first-order approximation should result from computing I(r) under the assumption of a homogeneous-tissue model with a constant (mean) scattering cross section. Then the spatial variations in the optical absorption coefficient α(r), which is what we wish to image, arise entirely from the first-order dependence of fν(r) on α(r), as defined in Eq. (5). Thus we neglect a small second-order contribution that may arise through a dependence on I(r). See Ref. 1 for comprehensive articles on the diffusion of light in tissue.
  15. P. M. Morse, K. U. Ingard, Theoretical Acoustics (McGraw-Hill, New York, 1968), p. 365, Eq. (7.3.15).
  16. Ref. 15, p. 365.
  17. G. N. Watson, Theory of Bessel Functions (Cambridge U. Press, Cambridge, UK, 1966), p. 429.

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