Rigorous approach of the constitutive relations for nonlinear chiral media

Abstract

A new mathematical approach is proposed to highlight the nonlinear effect in a chiral medium, which is due to the magnetization vector under the influence of a strong electric field. In a chiral media, one can notice the coupling between the electric and magnetic quantities, which appears in the constitutive relations of the medium. According to our proposed approach, we illustrate the existence of the difference between a nonlinear achiral medium and a nonlinear chiral medium where not only the polarization vector has a nonlinear form but also the magnetization vector. Thus, the nonlinear chiral medium is described by the new constitutive relations _ D = εg_E + √ ε0μ0ξEH _H and _B = μ_H + √ ε0μ0ξg HE _E. Therefore, a better fundamental understanding of the interaction between the electromagnetic waves and chiral media can be contemplated.