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Nanosphere in the Quasi-Static Approximation

This is thus an electrostatic problem, which requires the solution of the the Laplace equation for the electrostatic potential (in the Fourier domain)  [Pg.35]

It can be seen that this problem has an azimuthal symmetry and the general solution is of the form [1]  [Pg.36]

From these two conditions we obtain that Ai = Ci = Q for I 1, and calculating of the remaining coefficients A] and C / we obtain the final expression for the potentials  [Pg.37]

190) indicates that o t is given the superposition of the external applied potential and that of a dipole located at the particle center. We can simplify o t by introducing the dipole moment fisph of the sphere as [Pg.37]

The external applied field induces a dipole moment inside the sphere of a magnitude proportional to Eq. Thus we can introduce the effective polarizability of the sphere asph(o)), defined via jisph = Sout sph ( w)Eo, [Pg.38]


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