Effective absorption cross section of an assembly of small ellipsoidal particles

Magnetic-field-dependent optical transmission of nickel nanorod colloidal dispersions

“…Extinction E and transmission of a diluted dispersion of small absorbing particles are primarily dominated by absorption and depend-in the dipole approximation-on the average polarizability ͗␣͘ of the ensemble of particles, 25,32 …”

“…Irrespective of the prediction that small aggregates should be formed even in the absence of an external field, such extended chainlike aggregates are only weakly bonded and partially disintegrate when the field is removed, particularly in the presence of shear flow in the fluid. 25 On this basis, the magnetic-field-dependent optical extinction can be readily modeled in the quasistatic approximation. This approach has become feasible since methods, which allow the preparation of such nanorods at sufficient quantities, are available.…”

Influence of Shape Spread in an Ensemble of Metal Nanoparticles on Their Optical Properties

“…З процедурою усереднення оптичних характери-стик ансамблю сфероїдальних металевих наноча-стинок можна познайомитись, наприклад, в [3,4].…”

Effect of particle shape on the effective dielectric response of nanocomposite close to the percolation threshold

“…For 3D system, for an assembly of particles with different ellipsoidal shapes, the shape distribution function is assumed to be [22][23][24] where w is the step function. The PðL x ; L y Þ function is symmetric about the point L i ¼ 1 3 (this point specifies a sphere).…”

“…The average polarizability is given by where PðLÞ is the distribution function of the depolarization factors which can be used to describe the shape distribution. We take the form of a Heaviside function [22][23][24].…”