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| Scattering vector and phase delay for a tenuous particle | Parent topic | Back |

Fig. 2. Scattering vector and phase delay for light scattering by a tenuous particle. The refractive index, m' of such a particle is close to that of the surrounding medium. Consider scattering of a plane wave with the wavelength λ0 in vacuum, incident horizontally from the left, by two arbitrarily selected volume elements P and P ' of the particle. Angle θ is the scattering angle. The vector diagram on the right illustrates the relationship, ks = ki + q, between the wave vector, ki, of the incident wave, that of the scattered wave, ks, and the scattering vector q. We consider elastic scattering, hence | ks | = | ki |.
As in Fig. 1, the phase delay, Δφ, between the waves scattered by these volume elements is a product kΔr of the magnitude, k, of the wave vector, ki , i.e. 2πm' / λ0, and the geometrical path difference Δr = dr1 + dr2 between paths APB and A'P'B'. In contrast to Fig. 1, m' now represents the refractive index of the particle material. In vector notation, Δr = -r • us + r • ui = -r • ( us - ui ). Since, k = ku, it follows that Δφ = -r • q.
| CITATION: Jonasz M. 2006. Scattering vector (www.tpdsci.com/Tpc/ScaVctSgnf.php). In: Top. Part. Disp. Sci. (www.tpdsci.com). |
HISTORY: Published: 15-Jun-2006 Modified: 18-Feb-2008 Peer-reviewed: PENDING |
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