Parameterized scattering matrices for small particles in planetary atmospheres

被引:21
作者
Braak, CJ
de Haan, JF
van der Mee, CVM
Hovenier, JW
Travis, LD
机构
[1] Free Univ Amsterdam, Dept Phys & Astron, NL-1081 HV Amsterdam, Netherlands
[2] Univ Cagliari, Dipartimento Matemat, I-09124 Cagliari, Italy
[3] Univ Amsterdam, Astron Inst Anton Pannekoek, NL-1098 SJ Amsterdam, Netherlands
[4] NASA, Goddard Inst Space Studies, New York, NY 10025 USA
基金
美国国家航空航天局;
关键词
D O I
10.1016/S0022-4073(00)00103-5
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Parameterized matrices are discussed that may be used as (single) scattering matrices for interpretations of the brightness and polarization of planetary atmospheres containing randomly oriented small particles. A number of guidelines are developed for the construction of such matrices. These guidelines are based on (i) physical conditions for the elements of a natural scattering matrix, some holding for arbitrary scattering angles and some for the exact forward and backward scattering directions only, as well as (ii) theorems for the asymptotic behavior of coefficients in expansions of the matrix elements in generalized spherical functions of the scattering angle. A set of parameterized matrices is introduced and assessed according to these guidelines. These particular parameterizations are especially useful for scattering by particles that are not large compared to the wavelength, particles in the Rayleigh-Gans domain and for a variety of irregularly shaped particles in the visible part of the spectrum. The use of parameterized matrices as scattering matrices is illustrated by deriving their elements as functions of the scattering angle from simulated measurements of the brightness and polarization of light reflected by plane-parallel atmospheres containing aggregated or spheroidal particles. In both cases, the scattering angle dependences of the original elements are retrieved in fair approximation. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:585 / 604
页数:20
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