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(Color online) Design for a nonlinear optical material, which is subjected to an external magnetic field . ‖ (or ⊥): longitudinal (or transverse) field cases corresponding to the fact that the field of an incident light is parallel (or perpendicular) to the nanoparticle chain.
(Color online) Schematic graph showing the equivalence between a coated inhomogeneous nanoparticle (left) and a homogeneous nanoparticle (right) according to Eqs. (1) and (2) .
(Color online) Schematic graph showing the equivalence between nanoparticle chains and spheroids with geometrical major-axis (or minor-axis) depolarization factor (or ) [Eq. (3) ]. The major axis is parallel to external magnetic fields. is also called local magnetic field factors.
(Color online) [(a)–(e)] Real and [(f)–(j)] imaginary parts of the effective SHG susceptibility normalized by the intrinsic SHG susceptibility in the nonlinear nanoshell for different external magnetic fields represented by local magnetic field factors vs the energy of an incident light. Here and denote the longitudinal and transverse field cases, respectively. According to Eq. (3) , the number of nanoparticles in the chains is for and for . Note in (d), (e), (i), and (j) the corresponding in use can be calculated according to the relation .
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