Based on the concept of characteristic waves and the method of angular spectral expansion, eigenfunction expansion of the electromagnetic waves scattering in uniaxial chiral medium is derived in terms of the vector wa...Based on the concept of characteristic waves and the method of angular spectral expansion, eigenfunction expansion of the electromagnetic waves scattering in uniaxial chiral medium is derived in terms of the vector wave functions. It is revealed that the solution of the source free vector wave equation for uniaxial chiral medium is composed of two transverse waves and a longitudinal wave. Numerical results for the electromagnetic scattering response from a uniaxial chiral cylinder are simulated. It is shown that uniaxial chirality has significant effect on scattering characteristics of the scatterer. On examining the frequency dependence of the backward echo width, it is shown that the uniaxial chiral cylinder can be employed to construct reflection reduction curved surface in a wide band frequency.展开更多
The strong and electromagnetic corrections to ρ-ω mixing are calculated using an SU(2) version of resonance chiral theory up to next-to-leading orders in 1/N_C expansion, respectively. Up to our accuracy, the effect...The strong and electromagnetic corrections to ρ-ω mixing are calculated using an SU(2) version of resonance chiral theory up to next-to-leading orders in 1/N_C expansion, respectively. Up to our accuracy, the effect of the momentum dependence of ρ-ω mixing is incorporated due to the inclusion of loop contributions. We analyze the impact of ρ-ω mixing on the pion vector form factor by performing numerical fit to the data extracted from e^+e^-→π^+π^- and τ→ν_τ 2π, while the decay width of ω→π^+π^- is taken into account as a constraint. It is found that the momentum dependence is significant in a good description of the experimental data. In addition, based on the fitted values of the involved parameters, we analyze the decay width of ω→π^+π^-, which turns out to be highly dominated by the ρ-ω mixing effect.展开更多
In an explicit, unified, and covariant formulation of an octonion algebra, we study and generalize the electromagnetic chiral fields equations of massive dyons with the split octonionic representation. Starting with 2...In an explicit, unified, and covariant formulation of an octonion algebra, we study and generalize the electromagnetic chiral fields equations of massive dyons with the split octonionic representation. Starting with 2 × 2 Zorn's vector matrix realization of split-octonion and its dual Euclidean spaces, we represent the unified structure of split octonionic electric and magnetic induction vectors for chiral media. As such, in present paper, we describe the chiral parameter and pairing constants in terms of split octonionic matrix representation of Drude-Born-Fedorov constitutive relations. We have expressed a split octonionic electromagnetic field vector for chiral media, which exhibits the unified field structure of electric and magnetic chiral fields of dyons. The beauty of split octonionic representation of Zorn vector matrix realization is that, the every scalar and vector components have its own meaning in the generalized chiral electromagnetism of dyons. Correspondingly, we obtained the alternative form of generalized Proca–Maxwell's equations of massive dyons in chiral media. Furthermore, the continuity equations, Poynting theorem and wave propagation for generalized electromagnetic fields of chiral media of massive dyons are established by split octonionic form of Zorn vector matrix algebra.展开更多
文摘Based on the concept of characteristic waves and the method of angular spectral expansion, eigenfunction expansion of the electromagnetic waves scattering in uniaxial chiral medium is derived in terms of the vector wave functions. It is revealed that the solution of the source free vector wave equation for uniaxial chiral medium is composed of two transverse waves and a longitudinal wave. Numerical results for the electromagnetic scattering response from a uniaxial chiral cylinder are simulated. It is shown that uniaxial chirality has significant effect on scattering characteristics of the scatterer. On examining the frequency dependence of the backward echo width, it is shown that the uniaxial chiral cylinder can be employed to construct reflection reduction curved surface in a wide band frequency.
基金Supported in part by the Fundamental Research Funds for the Central Universities under Grant No.06500077the Spanish Ministerio de Economía y Competitividad and the European Regional Development Fund,under Grant Nos.FIS2014-51948-C2-1-P,FIS2014-51948-C2-2-P,SEV-2014-0398Generalitat Valenciana under Grant No.PROMETEOII/2014/0068
文摘The strong and electromagnetic corrections to ρ-ω mixing are calculated using an SU(2) version of resonance chiral theory up to next-to-leading orders in 1/N_C expansion, respectively. Up to our accuracy, the effect of the momentum dependence of ρ-ω mixing is incorporated due to the inclusion of loop contributions. We analyze the impact of ρ-ω mixing on the pion vector form factor by performing numerical fit to the data extracted from e^+e^-→π^+π^- and τ→ν_τ 2π, while the decay width of ω→π^+π^- is taken into account as a constraint. It is found that the momentum dependence is significant in a good description of the experimental data. In addition, based on the fitted values of the involved parameters, we analyze the decay width of ω→π^+π^-, which turns out to be highly dominated by the ρ-ω mixing effect.
文摘In an explicit, unified, and covariant formulation of an octonion algebra, we study and generalize the electromagnetic chiral fields equations of massive dyons with the split octonionic representation. Starting with 2 × 2 Zorn's vector matrix realization of split-octonion and its dual Euclidean spaces, we represent the unified structure of split octonionic electric and magnetic induction vectors for chiral media. As such, in present paper, we describe the chiral parameter and pairing constants in terms of split octonionic matrix representation of Drude-Born-Fedorov constitutive relations. We have expressed a split octonionic electromagnetic field vector for chiral media, which exhibits the unified field structure of electric and magnetic chiral fields of dyons. The beauty of split octonionic representation of Zorn vector matrix realization is that, the every scalar and vector components have its own meaning in the generalized chiral electromagnetism of dyons. Correspondingly, we obtained the alternative form of generalized Proca–Maxwell's equations of massive dyons in chiral media. Furthermore, the continuity equations, Poynting theorem and wave propagation for generalized electromagnetic fields of chiral media of massive dyons are established by split octonionic form of Zorn vector matrix algebra.
