## Calculation of the amplitude matrix for a nonspherical particle in a fixed orientation

Applied Optics, Vol. 39, Issue 6, pp. 1026-1031 (2000)

http://dx.doi.org/10.1364/AO.39.001026

Enhanced HTML Acrobat PDF (100 KB)

### Abstract

General equations are derived for computing the amplitude matrix
for a nonspherical particle in an arbitrary orientation and for
arbitrary illumination and scattering directions with respect to the
laboratory reference frame, provided that the scattering problem can be
solved with respect to the particle reference frame. These
equations are used along with the *T*-matrix method to provide
benchmark results for homogeneous, dielectric, rotationally symmetric
particles. The computer code is publicly available on the
World-Wide Web at

© 2000 Optical Society of America

**OCIS Codes**

(010.1310) Atmospheric and oceanic optics : Atmospheric scattering

(290.0290) Scattering : Scattering

(290.1310) Scattering : Atmospheric scattering

(290.4210) Scattering : Multiple scattering

(290.5850) Scattering : Scattering, particles

**History**

Original Manuscript: August 10, 1999

Revised Manuscript: November 8, 1999

Published: February 20, 2000

**Citation**

Michael I. Mishchenko, "Calculation of the amplitude matrix for a nonspherical particle in a fixed orientation," Appl. Opt. **39**, 1026-1031 (2000)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-6-1026

Sort: Year | Journal | Reset

### References

- M. I. Mishchenko, J. W. Hovenier, L. D. Travis, eds., Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications (Academic, San Diego, Calif., 1999).
- L. Tsang, J. A. Kong, R. T. Shin, Theory of Microwave Remote Sensing (Wiley, New York, 1985).
- M. I. Mishchenko, “Multiple scattering of polarized light in anisotropic plane-parallel media,” Transp. Theory Stat. Phys. 19, 293–316 (1990). [CrossRef]
- J. L. Haferman, “Microwave scattering by precipitation,” in Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications, M. I. Mishchenko, J. W. Hovenier, L. D. Travis, eds. (Academic, San Diego, Calif., 1999), pp. 481–524.
- P. W. Barber, S. C. Hill, Light Scattering by Particles: Computational Methods (World Scientific, Singapore, 1990).
- W. J. Wiscombe, A. Mugnai, “Single scattering from nonspherical Chebyshev particles: a compendium of calculations,” NASA Ref. Publ. 1157 (1986).
- D. A. Varshalovich, A. N. Moskalev, V. K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988). [CrossRef]
- P. C. Waterman, “Symmetry, unitarity, and geometry in electromagnetic scattering,” Phys. Rev. D 3, 825–839 (1971). [CrossRef]
- M. I. Mishchenko, L. D. Travis, D. W. Mackowski, “T-matrix computations of light scattering by nonspherical particles: a review,” J. Quant. Spectrosc. Radiat. Transfer 55, 535–575 (1996). [CrossRef]
- J. V. Dave, B. H. Armstrong, “Computation of high-order associated Legendre polynomials,” J. Quant. Spectrosc. Radiat. Transfer 10, 557–562 (1970). [CrossRef]
- M. I. Mishchenko, L. D. Travis, “Capabilities and limitations of a current fortran implementation of the T-matrix method for randomly oriented rotationally symmetric scatterers,” J. Quant. Spectrosc. Radiat. Transfer 60, 309–324 (1998). [CrossRef]
- C. C. Chuang, K. V. Beard, “A numerical model for the equilibrium shape of electrified raindrops,” J. Atmos. Sci. 47, 1374–1389 (1990). [CrossRef]
- K. Aydin, “Centimeter and millimeter wave scattering from nonspherical hydrometeors,” in Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications, M. I. Mishchenko, J. W. Hovenier, L. D. Travis, eds. (Academic, San Diego, Calif., 1999), pp. 451–479.
- M. I. Mishchenko, “Light scattering by randomly oriented rotationally symmetric particles,” J. Opt. Soc. Am. A 8, 871–882 (1991). [CrossRef]

## 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.