Abstract

The Lorentz–Mie theory is generalized for the case of a spherical particle irradiated by a pulse with a finite length L that is transferred by a carrier wavelength λ0. Two cases should be physically distinguished, depending on radiation-receiver properties: quasi-stationary scattering (a receiver integrates the entire signal over time) and nonstationary scattering, when a receiver is capable of recording scattered signal changes with time. General formulas that allow one to calculate optical characteristics for both scattering cases and for an arbitrary ratio L0 are derived. Quasi-stationary-scattering peculiarities and limiting cases of small and large particles are studied in detail. The formulas are illustrated with calculations of spherical-particle optical characteristics for pulses of different lengths, for differently sized particles, and for a case in which a scattered pulse has a Gaussian form. The results obtained should be taken into account when one is studying the passage of a pulse through scattering media.

© 1994 Optical Society of America

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