## Computation of Light Scattering by Axisymmetric Nonspherical Particles and Comparison with Experimental Results

Applied Optics, Vol. 37, Issue 31, pp. 7310-7319 (1998)

http://dx.doi.org/10.1364/AO.37.007310

Acrobat PDF (1322 KB)

### Abstract

A laboratory prototype of a novel experimental apparatus for the analysis of spherical and axisymmetric nonspherical particles in liquid suspensions has been developed. This apparatus determines shape, volume, and refractive index, and this is the main difference of this apparatus from commercially available particle analyzers. Characterization is based on the scattering of a monochromatic laser beam by particles [which can be inorganic, organic, or biological (such as red blood cells and bacteria)] and on the strong relation between the light-scattering pattern and the morphology and the volume, shape, and refractive index of the particles. To keep things relatively simple, first we focus attention on axisymmetrical particles, in which case hydrodynamic alignment can be used to simplify signal gathering and processing. Fast and reliable characterization is achieved by comparison of certain properly selected characteristics of the scattered-light pattern with the corresponding theoretical values, which are readily derived from theoretical data and are stored in a look-up table. The data in this table were generated with a powerful boundary-element method, which can solve the direct scattering problem for virtually arbitrary shapes. A specially developed fast pattern-recognition technique makes possible the on-line characterization of axisymmetric particles. Successful results with red blood cells and bacteria are presented.

© 1998 Optical Society of America

**OCIS Codes**

(000.3860) General : Mathematical methods in physics

(120.5710) Instrumentation, measurement, and metrology : Refraction

(120.5820) Instrumentation, measurement, and metrology : Scattering measurements

(170.1470) Medical optics and biotechnology : Blood or tissue constituent monitoring

(290.0290) Scattering : Scattering

(290.5850) Scattering : Scattering, particles

**Citation**

George N. Constantinides, Drossos Gintides, Spilios E. Kattis, Kiriakie Kiriaki, Christakis A. Paraskeva, Alkiviades C. Payatakes, Demosthenes Polyzos, Stephanos V. Tsinopoulos, and Spyros N. Yannopoulos, "Computation of Light Scattering by Axisymmetric Nonspherical Particles and Comparison with Experimental Results," Appl. Opt. **37**, 7310-7319 (1998)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-31-7310

Sort: Year | Journal | Reset

### References

- P. Barber, E. Miller, and T. Sarkar, eds., Feature on Scattering by Three-Dimensional Objects, J. Opt. Soc. Am. A 11, 1380–1545 (1994).
- E. D. Hirleman and C. F. Bohren, eds., Optical Particle Sizing, Appl. Opt. 30, 4685–4986 (1991).
- N. Chigier and G. Stewart, eds., Feature on Particle Sizing and Spray Analysis, Opt. Eng. 23, 554–640 (1984).
- M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
- H. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
- C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
- H. M. Al-Rizzo and J. M. Tranquilla, “Electromagnetic wave scattering by highly elongated and geometrically composite objects of large size parameters: the generalized multipole technique,” Appl. Opt. 34, 3502–3521 (1995).
- P. W. Barber and S. C. Hill, Light Scattering by Particles: Computational Methods (World Scientific, Singapore, 1990).
- J. M. Tranquilla and H. M. Al-Rizzo, “Electromagnetic scattering from dielectric-coated axisymmetric objects using the generalized point-matching technique (GPMT),” IEEE Trans. Antennas Propag. 43, 63–71 (1995).
- S. V. Tsinopoulos, S. E. Kattis, and D. Polyzos, “Three dimensional boundary element analysis of electromagnetic wave scattering by penetrable bodies,” Computation. Mechan. 21, 306–315 (1998).
- V. Twersky, “Multiple scattering of electromagnetic waves by arbitrary configurations,” J. Math. Phys. 8, 589–610 (1967).
- G. C. Hsiao and R. E. Kleinman, “Mathematical foundations for error estimation in numerical solutions of integral equations in electromagnetics,” IEEE Trans. Antennas Propag. 45, 316–328 (1997).
- K. D. Paulsen, D. R. Lynch, and J. W. Strohbehn, “Three dimensional finite, boundary and hybrid solutions of the Maxwell equations for lossy dielectric media,” IEEE Trans. Microwave Theory Tech. 36, 682–693 (1988).
- G. D. Manolis and D. E. Beskos, Boundary Element Methods in Elastodynamics (Unwin-Hyman, London, 1988).
- G. Dassios and K. Kiriaki, “The low-frequency theory of elastic wave scattering,” Q. Appl. Math. 42, 225–248 (1984).
- A. V. Chernyshev, V. I. Prots, A. A. Doroshkin, and V. P. Maltsev, “Measurement of scattering properties of individual particles with a scanning flow cytometer,” Appl. Opt. 34, 6301–6305 (1995).
- International Mathematical and Statistical Library, IMSL Math/Library User’s Manual, Version 3.0 (Visual Numerics, Inc., Houston, Texas, 1994).
- Y. C. Fung, Biomechanics: Mechanical Properties of Living Tissues (Springer-Verlag, New York, 1981).
- D. Stramski and D. A. Kiefer, “Light scattering by microorganisms in the open ocean,” Prog. Oceanogr. 28, 343–383 (1991).
- A. Morel and Y.-H. Ahn, “Optical efficiency factors of free-living marine bacteria: influence of bacterioplankton upon the optical properties and particulate organic carbon in oceanic waters,” J. Marine Res. 48, 145–175 (1990).
- H. G. Schlegel, General Microbiology, 6th ed. (Cambridge U. Press, Cambridge, UK, 1986).

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article | Next Article »

OSA is a member of CrossRef.