Abstract

Understanding light scattering by nonspherical particles is crucial in modeling the transport of light in realistic structures such as biological tissues. We report the application of novel analytical approaches based on modified Wentzel–Kramers–Brillouin and equiphase-sphere methods that facilitate accurate characterization of light scattering by a wide range of irregularly shaped dielectric particles. We also demonstrate that these approaches have the potential to address the inverse-scattering problem by means of a spectral analysis of the total scattering cross section of arbitrarily shaped particles.

© 2004 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  10. P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization (Academic, London, 1981).

2004

Z. Chen, A. Taflove, and V. Backman, J. Opt. Soc. Am. A 20, 88 (2004).
[CrossRef]

2003

Z. Chen, A. Taflove, and V. Backman, Opt. Lett. 28, 765 (2003).
[CrossRef] [PubMed]

A. Wax, C. Yang, and J. A. Izatt, Opt. Lett. 28, 1230 (2003).
[CrossRef] [PubMed]

Y. L. Kim, Y. Liu, R. K. Wali, H. K. Roy, M. J. Goldberg, A. K. Kromine, K. Chen, and V. Backman, IEEE J. Sel. Top. Quantum Electron. 9, 243 (2003).
[CrossRef]

2002

J. R. Mourant, T. M. Johnson, S. Carpenter, A. Guerra, T. Aida, and J. P. Freyer, J. Biomed. Opt. 7, 378 (2002).
[CrossRef] [PubMed]

1998

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

1996

K. Muinonen, T. Nousiainen, P. Fast, K. Lumme, and J. I. Peltoniemi, J. Quant. Spectrosc. Radiat. Transfer 55, 577 (1996).
[CrossRef]

1992

Aida, T.

J. R. Mourant, T. M. Johnson, S. Carpenter, A. Guerra, T. Aida, and J. P. Freyer, J. Biomed. Opt. 7, 378 (2002).
[CrossRef] [PubMed]

Backman, V.

Z. Chen, A. Taflove, and V. Backman, J. Opt. Soc. Am. A 20, 88 (2004).
[CrossRef]

Z. Chen, A. Taflove, and V. Backman, Opt. Lett. 28, 765 (2003).
[CrossRef] [PubMed]

Y. L. Kim, Y. Liu, R. K. Wali, H. K. Roy, M. J. Goldberg, A. K. Kromine, K. Chen, and V. Backman, IEEE J. Sel. Top. Quantum Electron. 9, 243 (2003).
[CrossRef]

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Carpenter, S.

J. R. Mourant, T. M. Johnson, S. Carpenter, A. Guerra, T. Aida, and J. P. Freyer, J. Biomed. Opt. 7, 378 (2002).
[CrossRef] [PubMed]

Chen, K.

Y. L. Kim, Y. Liu, R. K. Wali, H. K. Roy, M. J. Goldberg, A. K. Kromine, K. Chen, and V. Backman, IEEE J. Sel. Top. Quantum Electron. 9, 243 (2003).
[CrossRef]

Chen, Z.

Z. Chen, A. Taflove, and V. Backman, J. Opt. Soc. Am. A 20, 88 (2004).
[CrossRef]

Z. Chen, A. Taflove, and V. Backman, Opt. Lett. 28, 765 (2003).
[CrossRef] [PubMed]

Crawford, J. M.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Fast, P.

K. Muinonen, T. Nousiainen, P. Fast, K. Lumme, and J. I. Peltoniemi, J. Quant. Spectrosc. Radiat. Transfer 55, 577 (1996).
[CrossRef]

Feld, M. S.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Freyer, J. P.

J. R. Mourant, T. M. Johnson, S. Carpenter, A. Guerra, T. Aida, and J. P. Freyer, J. Biomed. Opt. 7, 378 (2002).
[CrossRef] [PubMed]

Gill, P. E.

P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization (Academic, London, 1981).

Goldberg, M. J.

Y. L. Kim, Y. Liu, R. K. Wali, H. K. Roy, M. J. Goldberg, A. K. Kromine, K. Chen, and V. Backman, IEEE J. Sel. Top. Quantum Electron. 9, 243 (2003).
[CrossRef]

Guerra, A.

J. R. Mourant, T. M. Johnson, S. Carpenter, A. Guerra, T. Aida, and J. P. Freyer, J. Biomed. Opt. 7, 378 (2002).
[CrossRef] [PubMed]

Hagness, S.

A. Taflove and S. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method (Artech House, Boston, Mass., 2000).

Hamano, T.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Itzkan, I.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Izatt, J. A.

Johnson, T. M.

J. R. Mourant, T. M. Johnson, S. Carpenter, A. Guerra, T. Aida, and J. P. Freyer, J. Biomed. Opt. 7, 378 (2002).
[CrossRef] [PubMed]

Kim, Y. L.

Y. L. Kim, Y. Liu, R. K. Wali, H. K. Roy, M. J. Goldberg, A. K. Kromine, K. Chen, and V. Backman, IEEE J. Sel. Top. Quantum Electron. 9, 243 (2003).
[CrossRef]

Klett, J. D.

Kromine, A. K.

Y. L. Kim, Y. Liu, R. K. Wali, H. K. Roy, M. J. Goldberg, A. K. Kromine, K. Chen, and V. Backman, IEEE J. Sel. Top. Quantum Electron. 9, 243 (2003).
[CrossRef]

Lima, C.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Liu, Y.

Y. L. Kim, Y. Liu, R. K. Wali, H. K. Roy, M. J. Goldberg, A. K. Kromine, K. Chen, and V. Backman, IEEE J. Sel. Top. Quantum Electron. 9, 243 (2003).
[CrossRef]

Lumme, K.

K. Muinonen, T. Nousiainen, P. Fast, K. Lumme, and J. I. Peltoniemi, J. Quant. Spectrosc. Radiat. Transfer 55, 577 (1996).
[CrossRef]

Manoharan, R.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Mourant, J. R.

J. R. Mourant, T. M. Johnson, S. Carpenter, A. Guerra, T. Aida, and J. P. Freyer, J. Biomed. Opt. 7, 378 (2002).
[CrossRef] [PubMed]

Muinonen, K.

K. Muinonen, T. Nousiainen, P. Fast, K. Lumme, and J. I. Peltoniemi, J. Quant. Spectrosc. Radiat. Transfer 55, 577 (1996).
[CrossRef]

Murray, W.

P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization (Academic, London, 1981).

Nousiainen, T.

K. Muinonen, T. Nousiainen, P. Fast, K. Lumme, and J. I. Peltoniemi, J. Quant. Spectrosc. Radiat. Transfer 55, 577 (1996).
[CrossRef]

Nusrat, A.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Peltoniemi, J. I.

K. Muinonen, T. Nousiainen, P. Fast, K. Lumme, and J. I. Peltoniemi, J. Quant. Spectrosc. Radiat. Transfer 55, 577 (1996).
[CrossRef]

Perelman, L. T.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Roy, H. K.

Y. L. Kim, Y. Liu, R. K. Wali, H. K. Roy, M. J. Goldberg, A. K. Kromine, K. Chen, and V. Backman, IEEE J. Sel. Top. Quantum Electron. 9, 243 (2003).
[CrossRef]

Seiler, M.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Shields, S.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Sutherland, R. A.

Taflove, A.

Z. Chen, A. Taflove, and V. Backman, J. Opt. Soc. Am. A 20, 88 (2004).
[CrossRef]

Z. Chen, A. Taflove, and V. Backman, Opt. Lett. 28, 765 (2003).
[CrossRef] [PubMed]

A. Taflove and S. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method (Artech House, Boston, Mass., 2000).

Van Dam, J.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Wali, R. K.

Y. L. Kim, Y. Liu, R. K. Wali, H. K. Roy, M. J. Goldberg, A. K. Kromine, K. Chen, and V. Backman, IEEE J. Sel. Top. Quantum Electron. 9, 243 (2003).
[CrossRef]

Wallace, M.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Wax, A.

Wright, M. H.

P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization (Academic, London, 1981).

Yang, C.

Zonios, G.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Appl. Opt.

IEEE J. Sel. Top. Quantum Electron.

Y. L. Kim, Y. Liu, R. K. Wali, H. K. Roy, M. J. Goldberg, A. K. Kromine, K. Chen, and V. Backman, IEEE J. Sel. Top. Quantum Electron. 9, 243 (2003).
[CrossRef]

J. Biomed. Opt.

J. R. Mourant, T. M. Johnson, S. Carpenter, A. Guerra, T. Aida, and J. P. Freyer, J. Biomed. Opt. 7, 378 (2002).
[CrossRef] [PubMed]

J. Opt. Soc. Am. A

Z. Chen, A. Taflove, and V. Backman, J. Opt. Soc. Am. A 20, 88 (2004).
[CrossRef]

J. Quant. Spectrosc. Radiat. Transfer

K. Muinonen, T. Nousiainen, P. Fast, K. Lumme, and J. I. Peltoniemi, J. Quant. Spectrosc. Radiat. Transfer 55, 577 (1996).
[CrossRef]

Opt. Lett.

Phys. Rev. Lett.

L. T. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. M. Crawford, and M. S. Feld, Phys. Rev. Lett. 80, 627 (1998).
[CrossRef]

Other

A. Taflove and S. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method (Artech House, Boston, Mass., 2000).

P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization (Academic, London, 1981).

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Figures (4)

Fig. 1
Fig. 1

Representative Gaussian sphere geometries. (a)–(c) Gaussian spheres with increasing Δ (γ is fixed at 70°). (d)–(f) Gaussian spheres with decreasing γ (Δ is fixed at 0.1).

Fig. 2
Fig. 2

Comparison of TSCSs calculated from FDTD simulations, the modified WKB approximation, and the EPS approximation for Gaussian spheres with different shapes. The particles are illuminated with vertically directed incident light: (a) Δ=0.1, γ=50°; (b) Δ=0.1, γ=30°; (c) Δ=0.1, γ=20°; (d) Δ=0.7, γ=70°.

Fig. 3
Fig. 3

TSCS spectrum rms error of the modified WKB approximation and the EPS approximation. FDTD simulation results are used as the benchmark data. rms errors (%) as functions of (a) γ (Δ is fixed at 0.1) and (b) Δ (γ is fixed at 70°).

Fig. 4
Fig. 4

WKB-reconstructed area distribution of the longitudinal extent, aiLi, for Gaussian spheres with various values of radial relative standard deviations and correlation angles: (a) Δ=0.1, γ=25°; (b) Δ=0.4, γ=70°; (c) Δ=0.2, γ=30°; (d) Δ=0.7, γ=70°.

Equations (5)

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

σss2Smkd/2-2/3,
σsv=2 ReS1-expikn-1Lrd2r
σsv=2S1-2n sin ρ/ρ+4n sin2ρ/2/ρ2,
σs=2Smkd/2-2/3+2S-2Scoskn-1Lrd2r.
σsλj=i2ai cos2πn-1Li/λj+2Smπd-2/3λj2/3+2S.

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