On nonlinear multipole magnetization

On electric-quadrupole and magnetic-dipole contributions to optical rectification in isotropic media near optical resonance

“…[4][5][6][7]29,30]. Here, we should keep in mind that this polarizability for molecules with complex wavefunctions is 6 (29) which satisfy the following transposition relations…”

“…This optical wave induces in a molecule a static electric-dipole moment, which can be written as follows [1][2][3][4][5][6][7][8] …”

“…Here µ k (r, ω), q uk (r, ω) and m k (r, ω) denote, respectively, the Cartesian components of the spectral amplitude of the electric-dipole, electric-quadrupole and magnetic-dipole moment induced in a molecule by the optical wave, which are given by [4][5][6][7] …”

“…[4][5][6][20][21][22]. The polar tensor of the fourth rank (1) e α (1,2) ee jk(ul) (0; −ω, ω) describes the second-order nonlinear electric-dipole polarizability related to electric-dipole and electricquadrupole transitions between the stationary ground state and virtual excited states (in the absence of resonance) or the stationary excited states (in the presence of resonance).…”

“…Linear and nonlinear multipolar interaction of laser light with atoms and molecules induces in them multipole moments [1][2][3][4][5][6][7][8] which contribute to the electric and magnetic polarization of the molecular system. In the nonlinear case, the frequencies of their oscillations are given, in general, by combinations of the frequencies of the interacting fields.…”