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Original English dissertation · scientific equations reproduced directly from the source PDF.

3.2 Dynamic light scattering

Figure 3.1: Typical scattering geometry.

with the circular frequency ω0 and the normal vector ⃗ni. The field of the electromag- netic wave induces an oscillating electronic polarization. Hence, the molecules behave as Hertzian dipoles and provide a secondary light source. From the Maxwell-equations follows the light wave propagation in a detector direction⃗k f :

Original equation (3.4) from dissertation page 27
Equation (3.4) · original 2007 dissertation

with the electric field constant ε0, and with ⃗R being the position of the detector. The Eq.(3.4) describes the electric field propagating from an elementary dipole originating from a molecule. The electrical field from all molecules in the scattering volume follows as:

Original equation (3.5) from dissertation page 27
Equation (3.5) · original 2007 dissertation

with the constant C = (παE0/ε0λ2)· 1

R and ˆ⃗R = ⃗R

|⃗R|. In principle, relation (3.5) describes the scattered light completely. In practice, however, the light intensity is obtained from

View original page 27 (authoritative equations, figures and layout)Original dissertation PDF page 27

Original dissertation · PDF page 27 · reader page 19 of 132

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