Under alternating current electric field, effective response of granular nonlinear composites with sphericalcoated inclusions is investigated in the dilute limit by using the perturbation approach. For an external sin...Under alternating current electric field, effective response of granular nonlinear composites with sphericalcoated inclusions is investigated in the dilute limit by using the perturbation approach. For an external sinusoidalapplied field with finite frequency ω, the local fields and potentials of composites in general Consist of components at allharmonics for cubic nonlinear constitutive relationships. We derive the local potentials of spherical coated composites atharmonics. Moreover, we give the formulae of the nonlinear effective AC susceptibility at the third harmonic frequency.展开更多
A perturbation method is used to study effective response of nonlinear Kerr composites, which are subject to the constitutive relation of electric displacement and electric field, Dα=εαE＋xα｜E｜^2E. Under the ext...A perturbation method is used to study effective response of nonlinear Kerr composites, which are subject to the constitutive relation of electric displacement and electric field, Dα=εαE＋xα｜E｜^2E. Under the external AG and DC electric field Eapp = Eα（1 ＋ sinωt）, the effective nonlinear responses and local potentials are induced by the cubic nonlinearity of Kerr materials at all harmonics. As an example in three dimensions, we have investigated this kind of nonlinear composites with spherical inclusions embedded in a host. At all harmonic frequencies, the potentials in inclusion and host regions are derived. Furthermore, the formulae of the effective linear and nonlinear responses are given in the dilute Iimit.展开更多
For higher concentration of inclusions, an effective medium approximation （EMA） method is used to investigate the bulk effective response of weakly nonlinear composites, which are subject to the constitutive relatio...For higher concentration of inclusions, an effective medium approximation （EMA） method is used to investigate the bulk effective response of weakly nonlinear composites, which are subject to the constitutive relation of electric displacement and electric field, Dα = εαE ＋Xα｜E｜^2 E. As an example of three dimensions, under the external AC and DC electric fields Eapp = Eα（1 ＋ sinωt）, we have derived the general effective nonh＇near response of composites by the EMA method for higher concentration of spherical inclusions. Furthermore, the effective nonlinear responses at harmonics are predicted.展开更多
文摘Under alternating current electric field, effective response of granular nonlinear composites with sphericalcoated inclusions is investigated in the dilute limit by using the perturbation approach. For an external sinusoidalapplied field with finite frequency ω, the local fields and potentials of composites in general Consist of components at allharmonics for cubic nonlinear constitutive relationships. We derive the local potentials of spherical coated composites atharmonics. Moreover, we give the formulae of the nonlinear effective AC susceptibility at the third harmonic frequency.
文摘A perturbation method is used to study effective response of nonlinear Kerr composites, which are subject to the constitutive relation of electric displacement and electric field, Dα=εαE＋xα｜E｜^2E. Under the external AG and DC electric field Eapp = Eα（1 ＋ sinωt）, the effective nonlinear responses and local potentials are induced by the cubic nonlinearity of Kerr materials at all harmonics. As an example in three dimensions, we have investigated this kind of nonlinear composites with spherical inclusions embedded in a host. At all harmonic frequencies, the potentials in inclusion and host regions are derived. Furthermore, the formulae of the effective linear and nonlinear responses are given in the dilute Iimit.
基金The project supported by National Natural Science Foundation of China under Grant Nos.40476026 and 10374026
文摘For higher concentration of inclusions, an effective medium approximation （EMA） method is used to investigate the bulk effective response of weakly nonlinear composites, which are subject to the constitutive relation of electric displacement and electric field, Dα = εαE ＋Xα｜E｜^2 E. As an example of three dimensions, under the external AC and DC electric fields Eapp = Eα（1 ＋ sinωt）, we have derived the general effective nonh＇near response of composites by the EMA method for higher concentration of spherical inclusions. Furthermore, the effective nonlinear responses at harmonics are predicted.
