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Applied Optics

Applied Optics


  • Vol. 29, Iss. 10 — Apr. 1, 1990
  • pp: 1551–1559

Internal absorption cross sections in a stratified sphere

D. W. Mackowski, R. A. Altenkirch, and M. P. Menguc  »View Author Affiliations

Applied Optics, Vol. 29, Issue 10, pp. 1551-1559 (1990)

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Series expressions for the radially dependent absorption cross section and angle-averaged absorption heat source function within a stratified sphere are presented. A numerically stable and accurate algorithm for computation of the internal radiative properties, as well as the overall scattering and extinction of a stratified sphere having an arbitrary number of layers is developed. The results allow for direct estimation of the degree of penetration and intensity of radiative heating in radially inhomogeneous spherical particles, and also provide an estimate of the thermal emission coefficient of particles having a radial temperature distribution.

© 1990 Optical Society of America

Original Manuscript: April 10, 1989
Published: April 1, 1990

D. W. Mackowski, R. A. Altenkirch, and M. P. Menguc, "Internal absorption cross sections in a stratified sphere," Appl. Opt. 29, 1551-1559 (1990)

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  1. W. J. Wiscombe, “Improved Mie Scattering Algorithms,” Appl. Opt. 19, 1505–1509 (1980). [CrossRef] [PubMed]
  2. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  3. A. L. Aden, M. Kerker, “Scattering of Electromagnetic Waves from Two Concentric Spheres,” J. Appl. Phys. 22, 1242–1246 (1951). [CrossRef]
  4. O. B. Toon, T. P. Ackerman, “Algorithms for the Calculation of Scattering by Stratified Spheres,” Appl. Opt. 20, 3657–3660 (1981). [CrossRef] [PubMed]
  5. R. Bhandari, “Scattering Coefficients for a Multilayered Sphere: Analytic Expressions and Algorithms,” Appl. Opt. 24, 1960–1967 (1985). [CrossRef] [PubMed]
  6. Yu. I. Yalamov, V. B. Kutukov, E. R. Shchukin, “Theory of the Photophoretic Motion of the Large-Size Volatile Aerosol Particle,” J. Coll. Int. Sci. 57, 564–571 (1976). [CrossRef]
  7. D. W. Mackowski, “Photophoresis of Aerosol Particles in the Free-Molecular and Slip-Flow Regimes,” Int. J. Heat Mass Trans. 32, 843–854 (1989). [CrossRef]
  8. M. Sitarski, “Absorption of Infrared Radiation Inside an Explosively Boiling Fine Coal–Water Particle,” Particulate Sci. Tech. 5, 193–205 (1987). [CrossRef]
  9. M. Sitarski, “On the Feasibility of Secondary Atomization of Small Slurry Droplets Exposed to Intense Thermal Radiation,” Combust. Sci. Tech. 54, 177–201 (1987). [CrossRef]
  10. S. Choi, C. H. Kruger, “Modeling Coal Particle Behavior Under Simultaneous Devolatilization and Combustion,” Combust. Flame 61, 131–144 (1985). [CrossRef]
  11. D. W. Mackowski, R. A. Altenkirch, M. P. Menguc, “A Comparison of Electromagnetic Wave and Radiative Transfer Analyses of a Coal Particle Surrounded by a Soot Cloud,” Combust. Flame, 76, 415–420 (1989). [CrossRef]
  12. M. Sitarski, “Internal Heating of Multilayered Aerosol Particles by Electromagnetic Radiation,” Langmuir 3, 85–93 (1987). [CrossRef]
  13. P. W. Dusel, M. Kerker, D. D. Cooke, “Distribution of Absorption Centers within Irradiated Spheres,” J. Opt. Soc. Amer. 69, 55–59 (1979). [CrossRef]
  14. G. W. Kattawar, M. Eisner, “Radiation from a Homogeneous Isothermal Sphere,” Appl. Opt. 9, 2685–269 (1970). [CrossRef] [PubMed]

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