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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 24 — Aug. 20, 2006
  • pp: 6255–6262

Debye series of normally incident plane-wave scattering by an infinite multilayered cylinder

Renxian Li, Xiang'e Han, Huifen Jiang, and Kuan Fang Ren  »View Author Affiliations

Applied Optics, Vol. 45, Issue 24, pp. 6255-6262 (2006)

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We derive the formula of the Debye-series decomposition for normally incident plane-wave scattering by an infinite multilayered cylinder. A comparison of the scattering diagrams calculated by the Debye series and Mie theory for a graded-index polymer optical fiber is given and the agreement is found to be satisfied. This approach permits us to simulate the rainbow intensity distribution of any single order and the interference of several orders, which is of good use to the study of the scattering characteristics of an inhomogeneous cylinder and to the measurement of the refractive index profile of an inhomogeneous cylinder.

© 2006 Optical Society of America

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(260.2110) Physical optics : Electromagnetic optics
(290.4020) Scattering : Mie theory
(290.5850) Scattering : Scattering, particles

Original Manuscript: January 6, 2006
Revised Manuscript: March 15, 2006
Manuscript Accepted: March 16, 2006

Renxian Li, Xiang'e Han, Huifen Jiang, and Kuan Fang Ren, "Debye series of normally incident plane-wave scattering by an infinite multilayered cylinder," Appl. Opt. 45, 6255-6262 (2006)

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  1. R. Li, X. Han, H. Jiang, and K. F. Ren, "Debye series of light scattering by a multilayered sphere," Appl. Opt. 45, 1260-1270 (2006). [CrossRef] [PubMed]
  2. E. A. Hovenac and J. A. Lock, "Assessing the contributions of surface waves and complex rays to far-field Mie scattering by use of the Debye series," J. Opt. Soc. Am. A 9, 781-795 (1992). [CrossRef]
  3. J. A. Lock, J. M. Jamison, and C.-Y. Lin, "Rainbow scattering by a coated sphere," Appl. Opt. 33, 4677-4690 (1994). [CrossRef] [PubMed]
  4. Z. S. Wu and Y. P. Wang, "Electromagnetic scattering for multi-layered sphere: recursive algorithms," Radio Sci. 26, 1393-1401 (1991). [CrossRef]
  5. Z. S. Wu, L. X. Guo, K. F. Ren, G. Gouesbet, and G. Gréhan, "Improved algorithm for electromagnetic scattering of plane waves and shaped beams by multilayered spheres," Appl. Opt. 36, 5188-5198 (1997). [CrossRef] [PubMed]
  6. H. Du, "Mie-scattering calculation," Appl. Opt. 43, 1951-1956 (2004). [CrossRef] [PubMed]
  7. M. Barabás, "Scattering of a plane wave by a radially stratified tilted cylinder," J. Opt. Soc. Am. A 4, 2240-2248 (1987). [CrossRef]
  8. X. Han and H. Jiang, "Characteristics of scattering diagram of a cylinder in rainbow angles with mixed orders," Opt. Commun. 233, 253-259 (2004). [CrossRef]
  9. J. A. Adam, "The mathematical physics of rainbows and glories," Phys. Rep. 356, 229-365 (2002). [CrossRef]
  10. X. Han, "Study of refractometry of rainbow and applications to the measurement of instability and temperature gradient of a liquid jet," Ph.D. dissertation (Rouen University, 2000).

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