Multiple scattering by particles embedded in an absorbing medium. 1. Foldy-Lax equations, order-of-scattering expansion, and coherent field.
This paper presents a systematic analysis of the problem of multiple scattering by a finite group of arbitrarily sized, shaped, and oriented particles embedded in an absorbing, homogeneous, isotropic, and unbounded medium. The volume integral equation is used to derive generalized Foldy-Lax equations and their order-of-scattering form. The far-field version of the Foldy-Lax equations is used to derive the transport equation for the so-called coherent field generated by a large group of sparsely, randomly, and uniformly distributed particles. The differences between the generalized equations and their counterparts describing multiple scattering by particles embedded in a non-absorbing medium are highlighted and discussed.
Mishchenko
Michael I
MI
NASA Goddard Institute for Space Studies, 2880 Broadway, New York, NY 10025, USA. mmishchenko@giss.nasa.gov
D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D004735:Energy Transfer; D008027:Light; D008962:Models, Theoretical; D009391:Nephelometry and Turbidimetry / Q000379:methods*; D011829:Radiation Dosage; D011874:Radiometry / Q000379:methods*; D012542:Scattering, Radiation
D003102:Colloids