Abstract

We present a model of the forward problem for diffuse photon-density waves in a turbid medium containing a spherical inhomogeneity, using diffraction tomographic (DT) methods. Recently, by use of DT methods, the forward problem was investigated [Opt. Express 1, 6 (1997); www.osa.org] assuming weak perturbations from the background medium but an arbitrary inhomogeneity structure. We apply DT concepts to a forward problem solution that permits strong perturbations but requires a spherical inhomogeneity. We show that this model is consistent with previous DT results and discuss the application of this new model.

© 1998 Optical Society of America

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  1. S. Feng, F. Zeng, and B. Chance, Appl. Opt. 34, 3826 (1995).
  2. M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, Opt. Lett. 20, 426 (1995).
  3. H. B. Jiang, K. D. Paulsen, U. L. Osterberg, and M. S. Patterson, Appl. Opt. 36, 52 (1997).
  4. D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, Proc. Natl. Acad. Sci. USA 91, 4887 (1994).
  5. C. L. Matson, Opt. Express 1, 6 (1997) ; www.osa.org.
  6. A. Baños, Dipole Radiation in the Presence of a Conducting Half-Space (Pergamon, London, 1966).
  7. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (Institute of Electrical and Electronics Engineers, New York, 1988).
  8. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vols. I and II.
  9. C. L. Matson, N. Clark, L. McMackin, and J. S. Fender, Appl. Opt. 36, 214 (1997).

1997

1995

1988

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (Institute of Electrical and Electronics Engineers, New York, 1988).

1966

A. Baños, Dipole Radiation in the Presence of a Conducting Half-Space (Pergamon, London, 1966).

1953

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vols. I and II.

Baños, A.

A. Baños, Dipole Radiation in the Presence of a Conducting Half-Space (Pergamon, London, 1966).

Boas, D. A.

M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, Opt. Lett. 20, 426 (1995).

D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, Proc. Natl. Acad. Sci. USA 91, 4887 (1994).

Chance, B.

S. Feng, F. Zeng, and B. Chance, Appl. Opt. 34, 3826 (1995).

M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, Opt. Lett. 20, 426 (1995).

D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, Proc. Natl. Acad. Sci. USA 91, 4887 (1994).

Clark, N.

Fender, J. S.

Feng, S.

Feshbach, H.

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vols. I and II.

Jiang, H. B.

Kak, A. C.

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (Institute of Electrical and Electronics Engineers, New York, 1988).

Matson, C. L.

McMackin, L.

Morse, P. M.

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vols. I and II.

O'Leary, M. A.

M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, Opt. Lett. 20, 426 (1995).

D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, Proc. Natl. Acad. Sci. USA 91, 4887 (1994).

Osterberg, U. L.

Patterson, M. S.

Paulsen, K. D.

Slaney, M.

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (Institute of Electrical and Electronics Engineers, New York, 1988).

Yodh, A. G.

M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, Opt. Lett. 20, 426 (1995).

D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, Proc. Natl. Acad. Sci. USA 91, 4887 (1994).

Zeng, F.

Appl. Opt.

Opt. Express

C. L. Matson, Opt. Express 1, 6 (1997) ; www.osa.org.

Opt. Lett.

Proc. Natl. Acad. Sci. USA

D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, Proc. Natl. Acad. Sci. USA 91, 4887 (1994).

Other

A. Baños, Dipole Radiation in the Presence of a Conducting Half-Space (Pergamon, London, 1966).

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (Institute of Electrical and Electronics Engineers, New York, 1988).

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vols. I and II.

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