Rayleigh-Debye-Gans as a model for continuous monitoring of biological particles: Part II, development of a hybrid model

doi:10.1364/OE.16.004671

Rayleigh-Debye-Gans as a model for continuous monitoring of biological particles: Part II, development of a hybrid model

Alicia C. Garcia-Lopez and Luis H. Garcia-Rubio »View Author Affiliations

Optics Express, Vol. 16, Issue 7, pp. 4671-4687 (2008)
http://dx.doi.org/10.1364/OE.16.004671

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Abstract

Rayleigh-Debye-Gans and Mie theory were previously shown to disagree for spherical particles under ideal conditions⁴. A Hybrid model for spheres was developed by the authors combining Mie theory and Rayleigh-Debye-Gans. The hybrid model was tested against Mie and Rayleigh-Debye-Gans for different refractive indices and diameter sizes across the UV-Vis spectrum. The results of this study show that the hybrid model represents a considerable improvement over Rayleigh-Debye-Gans for submicron particles and is computationally more effective compared to Mie model. The development of the spherical hybrid model establishes a platform for the analysis of non-spherical particles.

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(350.4990) Other areas of optics : Particles

ToC Category:
Scattering

History
Original Manuscript: November 5, 2007
Revised Manuscript: January 19, 2008
Manuscript Accepted: March 14, 2008
Published: March 20, 2008

Virtual Issues
Vol. 3, Iss. 4 Virtual Journal for Biomedical Optics

Citation
Alicia C. Garcia-Lopez and Luis H. Garcia-Rubio, "Rayleigh-Debye-Gans as a model for continuous monitoring of biological particles: Part II, development of a hybrid model," Opt. Express 16, 4671-4687 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-7-4671

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References

C. E. Alupoaei, J. A. Olivares, and L. H. Garcia-Rubio, "Quantitative spectroscopy analysis of prokaryotic cells: vegetative cells and spores," Biosens. Bioelectron. 19, 893-903 (2003). [CrossRef]
A. Katz, A. Alimova, M. Xu, E. Rudolf, M. K. Shah, H. E. Savage, R. B. Rosen, S. A. McCormick, and R. R. Alfano, "Bacteria size determination by elastic light scattering," Quantum Electron. 9, 277-287 (2003).
M. I. Mishchenko, L. D. Travis, and D. W. Mackowski, "T-Matrix Computations of Light Scattering by Nonspherical Particles: A Review," J. Quant. Spectrosc. Radiat. Transf. 55, 535-575 (1996). [CrossRef]
A. Garcia-Lopez, A. D. Snider, and L. H. Garcia-Rubio, "Rayleigh-Debye-Gans as a Model for Continuous Monitoring of Biological Particles: Part I, Assessment of Theoretical Limits and Approximations," Opt. Express 14, 8849-8865 (2006). [CrossRef] [PubMed]
A. Y. Perel’man and N. V. Voshchinnikov, "S-Approximation for Spherical Particles with a Complex Refractive Index," Opt. Spectrosc. 92, 221-226 (2002). [CrossRef]
M. K. Choi and J. R. Brock, "Light scattering and absorption by a radially inhomogenous sphere: application of numerical method," J. Opt. Soc. Am. 14, 620-626 (1997).
H. C. Van der Hulst, Light Scattering by Small Particles, Dover Publications, Inc. (New York, 1957).
C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley Science Paper Series, New York, 1998). [CrossRef]
M. Kerker, The Scattering of Light and other Electromagnetic Radiation (Academic Press, New York, 1969).
A. Garcia-Lopez, "Investigation into the transition between single and multiple scattering for colloidal dispersions," M.S. thesis, Unviersity of South Florida, Tampa, FL (2001).

Alfano, R. R.
Alimova, A.
Alupoaei, C. E.
Brock, J. R.
Choi, M. K.
Garcia-Lopez, A.
Garcia-Rubio, L. H.
Katz, A.
Mackowski, D. W.
McCormick, S. A.
Mishchenko, M. I.
Olivares, J. A.
Perel’man, A. Y.
Rosen, R. B.
Rudolf, E.
Savage, H. E.
Shah, M. K.
Snider, A. D.
Travis, L. D.
Voshchinnikov, N. V.
Xu, M.

Biosens. Bioelectron.

C. E. Alupoaei, J. A. Olivares, and L. H. Garcia-Rubio, "Quantitative spectroscopy analysis of prokaryotic cells: vegetative cells and spores," Biosens. Bioelectron. 19, 893-903 (2003). [CrossRef]

J. Opt. Soc. Am.

M. K. Choi and J. R. Brock, "Light scattering and absorption by a radially inhomogenous sphere: application of numerical method," J. Opt. Soc. Am. 14, 620-626 (1997).

J. Quant. Spectrosc. Radiat. Transf.

M. I. Mishchenko, L. D. Travis, and D. W. Mackowski, "T-Matrix Computations of Light Scattering by Nonspherical Particles: A Review," J. Quant. Spectrosc. Radiat. Transf. 55, 535-575 (1996). [CrossRef]

Opt. Express

A. Garcia-Lopez, A. D. Snider, and L. H. Garcia-Rubio, "Rayleigh-Debye-Gans as a Model for Continuous Monitoring of Biological Particles: Part I, Assessment of Theoretical Limits and Approximations," Opt. Express 14, 8849-8865 (2006). [CrossRef] [PubMed]

Opt. Spectrosc.

A. Y. Perel’man and N. V. Voshchinnikov, "S-Approximation for Spherical Particles with a Complex Refractive Index," Opt. Spectrosc. 92, 221-226 (2002). [CrossRef]

Quantum Electron.

A. Katz, A. Alimova, M. Xu, E. Rudolf, M. K. Shah, H. E. Savage, R. B. Rosen, S. A. McCormick, and R. R. Alfano, "Bacteria size determination by elastic light scattering," Quantum Electron. 9, 277-287 (2003).

Other

H. C. Van der Hulst, Light Scattering by Small Particles, Dover Publications, Inc. (New York, 1957).
C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley Science Paper Series, New York, 1998). [CrossRef]
M. Kerker, The Scattering of Light and other Electromagnetic Radiation (Academic Press, New York, 1969).
A. Garcia-Lopez, "Investigation into the transition between single and multiple scattering for colloidal dispersions," M.S. thesis, Unviersity of South Florida, Tampa, FL (2001).

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