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We have studied the multipole polarizability of a graded spherical particle in a nonuniform electric field, in which the conductivity can vary radially inside the particle. The main objective of this work is to access the effects of multipole interactions at small interparticle separations, which can be important in non-dilute suspensions of functionally graded materials. The nonuniform electric field arises either from that applied on the particle or from the local field of all other particles. We developed a differential effective multipole moment approximation (DEMMA) to compute the multipole moment of a graded spherical particle in a nonuniform external field. Moreover, we compare the DEMMA results with the exact results of the power-law graded profile and the agreement is excellent. The extension to anisotropic DEMMA will be studied in an Appendix. [ABSTRACT FROM AUTHOR]

Focuses on the development of a theory concerning the effective linear and nonlinear optical properties of composite media by considering the dielectric anisotropy of the nonlinear graded particles. Model of the effective linear dialectric constant; Application of the nonlinear anisotropic differential effective dipole approximation in a nonlinear metal-dielectric composite; Role of the presence of gradation in the radial dialectric constant in enhancing the optical nonlinearity.