Abstract

To incorporate the wave properties of light, it was recently proposed to modify the Monte Carlo-based photon transport model to a semi-quantum-mechanical representation by considering each ray as a photon wave packet [Appl. Opt. 39, 5244 (2000)]. It is not clear from the paper whether each photon wave packet is considered representative of an entire plane wave or if each is spatially localized. However, for each interpretation we identify problems with the approach suggested for combining the wave-packet contributions. These include violation of the principle of conservation of energy and the use of a scattering phase function that is incompatible with the suggested way of calculating the intensity values. These issues render the approach impractical.

© 2002 Optical Society of America

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References

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  1. V. R. Daria, C. Saloma, S. Kawata, “Excitation with a focused, pulsed optical beam in scattering media: diffraction effects,” Appl. Opt. 39, 5244–5255 (2000).
    [CrossRef]
  2. B. C. Wilson, G. A. Adam, “Monte Carlo model for the absorption and flux distributions of light in tissue,” Med. Phys. 10, 824–830 (1983).
    [CrossRef] [PubMed]
  3. S. T. Flock, B. C. Wilson, M. S. Patterson, “Monte Carlo modeling of light propagation in highly scattering tissues. II. Comparison with measurements in phantoms,” IEEE Trans. Biomed. Eng. 36, 1169–1173 (1989).
    [CrossRef] [PubMed]
  4. S. L. Jacques, L.-H. Wang, “Monte Carlo modeling of light transport in tissues,” in Optical Thermal Response of Laser-Irradiated Tissue, A. J. Welch, M. J. C. van Gemert, eds. (Plenum, New York, 1995), pp. 73–100.
    [CrossRef]
  5. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, Cambridge, England, 1995).
    [CrossRef]

2000 (1)

1989 (1)

S. T. Flock, B. C. Wilson, M. S. Patterson, “Monte Carlo modeling of light propagation in highly scattering tissues. II. Comparison with measurements in phantoms,” IEEE Trans. Biomed. Eng. 36, 1169–1173 (1989).
[CrossRef] [PubMed]

1983 (1)

B. C. Wilson, G. A. Adam, “Monte Carlo model for the absorption and flux distributions of light in tissue,” Med. Phys. 10, 824–830 (1983).
[CrossRef] [PubMed]

Adam, G. A.

B. C. Wilson, G. A. Adam, “Monte Carlo model for the absorption and flux distributions of light in tissue,” Med. Phys. 10, 824–830 (1983).
[CrossRef] [PubMed]

Daria, V. R.

Flock, S. T.

S. T. Flock, B. C. Wilson, M. S. Patterson, “Monte Carlo modeling of light propagation in highly scattering tissues. II. Comparison with measurements in phantoms,” IEEE Trans. Biomed. Eng. 36, 1169–1173 (1989).
[CrossRef] [PubMed]

Jacques, S. L.

S. L. Jacques, L.-H. Wang, “Monte Carlo modeling of light transport in tissues,” in Optical Thermal Response of Laser-Irradiated Tissue, A. J. Welch, M. J. C. van Gemert, eds. (Plenum, New York, 1995), pp. 73–100.
[CrossRef]

Kawata, S.

Mandel, L.

L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, Cambridge, England, 1995).
[CrossRef]

Patterson, M. S.

S. T. Flock, B. C. Wilson, M. S. Patterson, “Monte Carlo modeling of light propagation in highly scattering tissues. II. Comparison with measurements in phantoms,” IEEE Trans. Biomed. Eng. 36, 1169–1173 (1989).
[CrossRef] [PubMed]

Saloma, C.

Wang, L.-H.

S. L. Jacques, L.-H. Wang, “Monte Carlo modeling of light transport in tissues,” in Optical Thermal Response of Laser-Irradiated Tissue, A. J. Welch, M. J. C. van Gemert, eds. (Plenum, New York, 1995), pp. 73–100.
[CrossRef]

Wilson, B. C.

S. T. Flock, B. C. Wilson, M. S. Patterson, “Monte Carlo modeling of light propagation in highly scattering tissues. II. Comparison with measurements in phantoms,” IEEE Trans. Biomed. Eng. 36, 1169–1173 (1989).
[CrossRef] [PubMed]

B. C. Wilson, G. A. Adam, “Monte Carlo model for the absorption and flux distributions of light in tissue,” Med. Phys. 10, 824–830 (1983).
[CrossRef] [PubMed]

Wolf, E.

L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, Cambridge, England, 1995).
[CrossRef]

Appl. Opt. (1)

IEEE Trans. Biomed. Eng. (1)

S. T. Flock, B. C. Wilson, M. S. Patterson, “Monte Carlo modeling of light propagation in highly scattering tissues. II. Comparison with measurements in phantoms,” IEEE Trans. Biomed. Eng. 36, 1169–1173 (1989).
[CrossRef] [PubMed]

Med. Phys. (1)

B. C. Wilson, G. A. Adam, “Monte Carlo model for the absorption and flux distributions of light in tissue,” Med. Phys. 10, 824–830 (1983).
[CrossRef] [PubMed]

Other (2)

S. L. Jacques, L.-H. Wang, “Monte Carlo modeling of light transport in tissues,” in Optical Thermal Response of Laser-Irradiated Tissue, A. J. Welch, M. J. C. van Gemert, eds. (Plenum, New York, 1995), pp. 73–100.
[CrossRef]

L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, Cambridge, England, 1995).
[CrossRef]

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Figures (1)

Fig. 1
Fig. 1

(a) Subdivision cell of a plane. The cell has area A, and m rays are scored in the cell at the end of a simulation. The area of A is small enough that a further subdivision would not change the number of rays scored per area, which is demonstrated in (b). The total amount of energy transmitted through A is identical in (a) and (b).

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

En=wAexpiφn+kL,
Ip=n=1m En2,
Ep=n=1mwnApexpiφt=mApexpiφt,
Ip=|Ep|2=m2Ap.
Up=IpAp=m2.
Ep1=Ep2=n=1m/2wnAp/2expiφt=m22Apexpiφt,
Ip1=Ip2=|Ep1|2=m22Ap.
Up=Up1+Up2=Ap2Ip1+Ip2=m22.

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