Abstract

We deal with the imaging problem of determining the internal structure of a body from backscattered laser light and low-coherence interferometry. Specifically, using the interference fringes that result when the backscattering of low-coherence light is made to interfere with the reference beam, we obtain maps detailing the values of the refractive index within the sample. Our approach accounts fully for the statistical nature of the coherence phenomenon; the numerical experiments that we present, which show image reconstructions of high quality, were obtained under noise floors exceeding those present for various experimental setups reported in the literature.

© 2003 Optical Society of America

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References

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  1. G. J. Tearney, M. E. Brezinski, J. F. Southern, B. E. Bouma, M. R. Hee, and J. G. Fujimoto, Opt. Lett. 20, 2258 (1995).
    [CrossRef]
  2. J. W. Hettinger, M. de la Peña Mattozzi, W. R. Meyers, M. E. Williams, A. Reeves, R. L. Parsons, R. C. Haskell, D. C. Petersen, R. Wang, J. I. Medford, Plant Physiol. 123, 3 (2000).
    [CrossRef] [PubMed]
  3. T. Fukano and I. Yamaguchi, Opt. Lett. 21, 1942 (1996).
    [CrossRef] [PubMed]
  4. M. Haruna, M. Ohmi, T. Mitsuyama, H. Tajiri, H. Maruyama, and M. Hashimoto, Opt. Lett. 23, 966 (1998).
    [CrossRef]
  5. Y. Watanabe and I. Yamaguchi, Appl. Opt. 41, 2414 (2002).
    [CrossRef] [PubMed]
  6. J. W. Goodman, Statistical Optics (Wiley, New York, 1985).
  7. G. Byrne and Ch. Hall, Numerical Solution of Systems of Nonlinear Algebraic Equations (Academic, New York, 1973).
  8. M. Yadlowsky, J. Schmitt, and R. Bonner, Appl. Opt. 34, 5699 (1995).
    [CrossRef] [PubMed]

2002 (1)

2000 (1)

J. W. Hettinger, M. de la Peña Mattozzi, W. R. Meyers, M. E. Williams, A. Reeves, R. L. Parsons, R. C. Haskell, D. C. Petersen, R. Wang, J. I. Medford, Plant Physiol. 123, 3 (2000).
[CrossRef] [PubMed]

1998 (1)

1996 (1)

1995 (2)

Bonner, R.

Bouma, B. E.

Brezinski, M. E.

Byrne, G.

G. Byrne and Ch. Hall, Numerical Solution of Systems of Nonlinear Algebraic Equations (Academic, New York, 1973).

de la Peña Mattozzi, M.

J. W. Hettinger, M. de la Peña Mattozzi, W. R. Meyers, M. E. Williams, A. Reeves, R. L. Parsons, R. C. Haskell, D. C. Petersen, R. Wang, J. I. Medford, Plant Physiol. 123, 3 (2000).
[CrossRef] [PubMed]

Fujimoto, J. G.

Fukano, T.

Goodman, J. W.

J. W. Goodman, Statistical Optics (Wiley, New York, 1985).

Hall, Ch.

G. Byrne and Ch. Hall, Numerical Solution of Systems of Nonlinear Algebraic Equations (Academic, New York, 1973).

Haruna, M.

Hashimoto, M.

Haskell, R. C.

J. W. Hettinger, M. de la Peña Mattozzi, W. R. Meyers, M. E. Williams, A. Reeves, R. L. Parsons, R. C. Haskell, D. C. Petersen, R. Wang, J. I. Medford, Plant Physiol. 123, 3 (2000).
[CrossRef] [PubMed]

Hee, M. R.

Hettinger, J. W.

J. W. Hettinger, M. de la Peña Mattozzi, W. R. Meyers, M. E. Williams, A. Reeves, R. L. Parsons, R. C. Haskell, D. C. Petersen, R. Wang, J. I. Medford, Plant Physiol. 123, 3 (2000).
[CrossRef] [PubMed]

Maruyama, H.

Medford, J. I.

J. W. Hettinger, M. de la Peña Mattozzi, W. R. Meyers, M. E. Williams, A. Reeves, R. L. Parsons, R. C. Haskell, D. C. Petersen, R. Wang, J. I. Medford, Plant Physiol. 123, 3 (2000).
[CrossRef] [PubMed]

Meyers, W. R.

J. W. Hettinger, M. de la Peña Mattozzi, W. R. Meyers, M. E. Williams, A. Reeves, R. L. Parsons, R. C. Haskell, D. C. Petersen, R. Wang, J. I. Medford, Plant Physiol. 123, 3 (2000).
[CrossRef] [PubMed]

Mitsuyama, T.

Ohmi, M.

Parsons, R. L.

J. W. Hettinger, M. de la Peña Mattozzi, W. R. Meyers, M. E. Williams, A. Reeves, R. L. Parsons, R. C. Haskell, D. C. Petersen, R. Wang, J. I. Medford, Plant Physiol. 123, 3 (2000).
[CrossRef] [PubMed]

Petersen, D. C.

J. W. Hettinger, M. de la Peña Mattozzi, W. R. Meyers, M. E. Williams, A. Reeves, R. L. Parsons, R. C. Haskell, D. C. Petersen, R. Wang, J. I. Medford, Plant Physiol. 123, 3 (2000).
[CrossRef] [PubMed]

Reeves, A.

J. W. Hettinger, M. de la Peña Mattozzi, W. R. Meyers, M. E. Williams, A. Reeves, R. L. Parsons, R. C. Haskell, D. C. Petersen, R. Wang, J. I. Medford, Plant Physiol. 123, 3 (2000).
[CrossRef] [PubMed]

Schmitt, J.

Southern, J. F.

Tajiri, H.

Tearney, G. J.

Wang, R.

J. W. Hettinger, M. de la Peña Mattozzi, W. R. Meyers, M. E. Williams, A. Reeves, R. L. Parsons, R. C. Haskell, D. C. Petersen, R. Wang, J. I. Medford, Plant Physiol. 123, 3 (2000).
[CrossRef] [PubMed]

Watanabe, Y.

Williams, M. E.

J. W. Hettinger, M. de la Peña Mattozzi, W. R. Meyers, M. E. Williams, A. Reeves, R. L. Parsons, R. C. Haskell, D. C. Petersen, R. Wang, J. I. Medford, Plant Physiol. 123, 3 (2000).
[CrossRef] [PubMed]

Yadlowsky, M.

Yamaguchi, I.

Appl. Opt. (2)

Opt. Lett. (3)

Plant Physiol. (1)

J. W. Hettinger, M. de la Peña Mattozzi, W. R. Meyers, M. E. Williams, A. Reeves, R. L. Parsons, R. C. Haskell, D. C. Petersen, R. Wang, J. I. Medford, Plant Physiol. 123, 3 (2000).
[CrossRef] [PubMed]

Other (2)

J. W. Goodman, Statistical Optics (Wiley, New York, 1985).

G. Byrne and Ch. Hall, Numerical Solution of Systems of Nonlinear Algebraic Equations (Academic, New York, 1973).

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Figures (3)

Fig. 1
Fig. 1

Optical coherence microscope. SLD, superluminescent diode.

Fig. 2
Fig. 2

Interference fringes. Top, absolute value of the correlation function Σ; bottom, finely sampled second spike, with circles corresponding to the coarse samples displayed at the bottom.

Fig. 3
Fig. 3

Layered structure. Left, original image; right, reconstruction.

Equations (1)

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2πΣ=ReS-Sωuˆr*P,ωuˆsP,ωdωdSp.

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