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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

  • Editor: Franco Gori
  • Vol. 28, Iss. 11 — Nov. 1, 2011
  • pp: 2322–2331

Ultrasound-modulated optical tomography: recovery of amplitude of vibration in the insonified region from boundary measurement of light correlation

Hari. M. Varma, Kuriyakkattil P. Mohanan, Nuutti Hyvönen, Akambadath K. Nandakumaran, and Ram M. Vasu  »View Author Affiliations


JOSA A, Vol. 28, Issue 11, pp. 2322-2331 (2011)
http://dx.doi.org/10.1364/JOSAA.28.002322


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Abstract

We address a certain inverse problem in ultrasound-modulated optical tomography: the recovery of the amplitude of vibration of scatterers [ p ( r ) ] in the ultrasound focal volume in a diffusive object from boundary measurement of the modulation depth (M) of the amplitude autocorrelation of light [ ϕ ( r , τ ) ] traversing through it. Since M is dependent on the stiffness of the material, this is the precursor to elasticity imaging. The propagation of ϕ ( r , τ ) is described by a diffusion equation from which we have derived a nonlinear perturbation equation connecting p ( r ) and refractive index modulation [ Δ n ( r ) ] in the region of interest to M measured on the boundary. The nonlinear perturbation equation and its approximate linear counterpart are solved for the recovery of p ( r ) . The numerical results reveal regions of different stiffness, proving that the present method recovers p ( r ) with reasonable quantitative accuracy and spatial resolution.

© 2011 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(170.4580) Medical optics and biotechnology : Optical diagnostics for medicine
(170.7180) Medical optics and biotechnology : Ultrasound diagnostics

ToC Category:
Medical Optics and Biotechnology

History
Original Manuscript: June 13, 2011
Revised Manuscript: September 14, 2011
Manuscript Accepted: September 15, 2011
Published: October 20, 2011

Virtual Issues
Vol. 7, Iss. 1 Virtual Journal for Biomedical Optics

Citation
Hari. M. Varma, Kuriyakkattil P. Mohanan, Nuutti Hyvönen, Akambadath K. Nandakumaran, and Ram M. Vasu, "Ultrasound-modulated optical tomography: recovery of amplitude of vibration in the insonified region from boundary measurement of light correlation," J. Opt. Soc. Am. A 28, 2322-2331 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-11-2322


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  15. This perturbation approach is commonly used to solve the inverse paramater recovery problem. See, for example, H. M. Varma, B. Banerjee, D. Roy, A. K. Nandakumaran, and R. M. Vasu, “Convergence analysis of the Newton algorithm and a pseudo-time marching scheme for diffuse correlation tomography,” J. Opt. Soc. Am. A 27, 259–267 (2010). [CrossRef]
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  18. In general the measurement F(p,r,ωa)=|F˜(p,r,ωa)|. However, from the numerical simulations, for the objects we have chosen, we have noticed that the imaginary part of F˜(p,r,ωa) is negligible compared to its real part. Therefore, we have taken the measurement as F(p,r,ωa)≈F˜(p,r,ωa).
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