## Scattering of Electromagnetic Radiation by Multilayered Spheroidal Particles: Recursive Procedure

Applied Optics, Vol. 39, Issue 3, pp. 470-477 (2000)

http://dx.doi.org/10.1364/AO.39.000470

Acrobat PDF (309 KB)

### Abstract

A formalism is developed for the calculation of the electromagnetic field scattered by a multilayered spheroidal particle. The suggested formalism utilizes the recursive approach with respect to passing from one layer to the next; thus it does not require an increase in the size of the equation matrices involved as the number of layers increases. The equations operate with matrices of the same size as for a homogeneous spheroid. The special cases of extremely prolate and weakly prolate spheroids are considered in more detail. It is shown that in such cases one can avoid the matrix calculations by instead using the iterative scalar calculations.

© 2000 Optical Society of America

**OCIS Codes**

(290.0290) Scattering : Scattering

(290.2200) Scattering : Extinction

(290.4020) Scattering : Mie theory

**Citation**

Ioseph Gurwich, Moshe Kleiman, Nir Shiloah, and Ariel Cohen, "Scattering of Electromagnetic Radiation by Multilayered Spheroidal Particles: Recursive Procedure," Appl. Opt. **39**, 470-477 (2000)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-3-470

Sort: Year | Journal | Reset

### References

- M. I. Mishchenko and L. D. Travis, “Light scattering by polydisperse rotationally symmetric nonspherical particles: linear polarization,” J. Quant. Spectrosc. Radiat. Transfer 51, 759–778 (1994).
- S. Asano and G. Yamamoto, “Light scattering by a spheroidal particle,” Appl. Opt. 14, 29–49 (1975).
- N. V. Voshchinnikov and V. G. Farafonov, “Optical properties of spheroidal particles,” Astrophys. Space Sci. 204, 19–86 (1993).
- V. G. Farafonov, N. V. Voshchinnikov, and V. V. Somsikov, “Light scattered by a core-mantled spheroidal particle,” Appl. Opt. 35, 5412–5426 (1996).
- T. Onaka, “Light scattering by spheroidal grains,” Ann. Tokyo Astron. Observ. 18, 1–54 (1980).
- M. F. R. Cooray and I. R. Ciric, “Scattering of electromagnetic waves by a coated dielectric spheroid,” J. Electromagn. Waves Appl. 6, 1491–1507 (1992).
- A. Cohen and M. Kleiman, “Mie scattering coefficients for multilayered magnetic particles,” J. Wave-Material Interaction 1, 252–256 (1986).
- C. F. Bohren and D. R. Huffman, Absorbing and Scattering of Light by Small Particles (Wiley, New York, 1983).
- Z. S. Wu and Y. P. Wang, “Electromagnetic scattering for multi-layered sphere: recursive algorithm,” Radio Sci. 26, 1393–1401 (1991).
- I. Gurwich, N. Shiloah, and M. Kleiman, “The recursive algorithm for electromagnetic scattering by tilted infinite circular multi-layered cylinder,” J. Quant. Spectrosc. Radiat. Transfer 63, 217–229 (1999).
- C. Flammer, Spheroidal Wave Functions (Stanford U. Press, Stanford, Calif., 1957).

## 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.

OSA is a member of CrossRef.