Abstract

Diffuse photon density waves are proposed for use in characterizing diffuse media, similar to the use of electromagnetic waves to characterize reflection from materials. To this end basic expressions for the reflection and transmission coefficients at interfaces are put forward. Effects such as the existence of modes analogous with Brewster modes are shown. Also, we illustrate through numerical simulations how the diffusion optical parameters are estimated both with and without noise in the data.

© 1999 Optical Society of America

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  1. See related studies in J. G. Fujimoto and M. S. Patterson, eds., Advances in Optical Imaging and Photon Migration, Vol. 21 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1998).
  2. M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, Phys. Rev. Lett. 69, 2658 (1992).
  3. J. B. Frishkin and E. Gratton, J. Opt. Soc. Am. A 10, 127 (1993).
  4. E. M. Sevik-Muraca, D. L. Heintzelman, J. Lee, T. L. Troy, and D. Y. Paithankar, Appl. Opt. 36, 9058 (1997).
  5. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1993), Chap. 3.
  6. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  7. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995), Chap. 3.
  8. M. Nieto-Vesperinas, Scattering and Diffraction in Physical Optics (Wiley-Interscience, New York, 1991), Chap. 2.
  9. J. Ripoll, M. Nieto-Vesperinas, and R. Carminati, J. Opt. Soc. Am. A 16, 1466 (1999).
  10. R. Aronson, J. Opt. Soc. Am. A 12, 2532 (1995).
  11. J. Ripoll and M. Nieto-Vesperinas, J. Opt. Soc. Am. A 16, 1453 (1999).

1999

1998

See related studies in J. G. Fujimoto and M. S. Patterson, eds., Advances in Optical Imaging and Photon Migration, Vol. 21 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1998).

1997

1995

R. Aronson, J. Opt. Soc. Am. A 12, 2532 (1995).

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995), Chap. 3.

1993

J. B. Frishkin and E. Gratton, J. Opt. Soc. Am. A 10, 127 (1993).

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1993), Chap. 3.

1992

M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, Phys. Rev. Lett. 69, 2658 (1992).

1991

M. Nieto-Vesperinas, Scattering and Diffraction in Physical Optics (Wiley-Interscience, New York, 1991), Chap. 2.

1968

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).

Aronson, R.

R. Aronson, J. Opt. Soc. Am. A 12, 2532 (1995).

Boas, D. A.

M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, Phys. Rev. Lett. 69, 2658 (1992).

Born, M.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1993), Chap. 3.

Carminati, R.

Chance, B.

M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, Phys. Rev. Lett. 69, 2658 (1992).

Frishkin, J. B.

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).

Gratton, E.

Heintzelman, D. L.

Lee, J.

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995), Chap. 3.

Nieto-Vesperinas, M.

J. Ripoll, M. Nieto-Vesperinas, and R. Carminati, J. Opt. Soc. Am. A 16, 1466 (1999).

J. Ripoll and M. Nieto-Vesperinas, J. Opt. Soc. Am. A 16, 1453 (1999).

M. Nieto-Vesperinas, Scattering and Diffraction in Physical Optics (Wiley-Interscience, New York, 1991), Chap. 2.

O'Leary, M. A.

M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, Phys. Rev. Lett. 69, 2658 (1992).

Paithankar, D. Y.

Ripoll, J.

Sevik-Muraca, E. M.

Troy, T. L.

Wolf, E.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995), Chap. 3.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1993), Chap. 3.

Yodh, A. G.

M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, Phys. Rev. Lett. 69, 2658 (1992).

Appl. Opt.

J. Opt. Soc. Am. A

R. Aronson, J. Opt. Soc. Am. A 12, 2532 (1995).

J. Opt. Soc. Am. A

Phys. Rev. Lett.

M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, Phys. Rev. Lett. 69, 2658 (1992).

Other

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1993), Chap. 3.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995), Chap. 3.

M. Nieto-Vesperinas, Scattering and Diffraction in Physical Optics (Wiley-Interscience, New York, 1991), Chap. 2.

See related studies in J. G. Fujimoto and M. S. Patterson, eds., Advances in Optical Imaging and Photon Migration, Vol. 21 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1998).

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