Magneto-optical spectra of the Cs D₂line

Abstract

Magneto-optical spectra were observed for the dilute gas phase of the Cs metal. The non-linear Faraday effect was investigated with a frequency tunable laser diode of weak intensity. Theoretical spectral profiles were obtained via optical coherence derived from the density matrix formalism. As a result of the analysis, it was ascertained that the coherent Larmor precession of atoms induces a broadening and a phase shift in the optical coherence in opposite directions for sigma + and for sigma - light. This effect originates from off-diagonal elements of the Hamiltonian.

Forward-scattering magneto-optical effects

“…-polarized eigenwave with a linearly polarized laser beam and a linear analyzer extinction ratio function is obtained: For Voigt spectra [Eqs. (13) and (14)], the profiles of eigenwaves o and vr are not infiuenced by the angle (8) of polarization of the analyzer; only their intensity is modified.…”

“…The electric dipole moment p precesses in the plane perpendicular to the magnetic moment with an angular frequency cp. When the Larmor frequency is small compared to the angular frequency of the valence electron, the electricdipole moment can be written as [12,14] …”

“…The macroscopic polarization of the medium and the susceptibility are obtained through this solution as [12,14] f co P (z, t) =No [p, * p' +c.c]d(kv) J -oo + c.c. ), (16) =z{eoEoX, e -+ccrc (20) …”

“…3). The relations between the susceptibility and complex wave number are written as [12,14] ([(1+X"-, )'+ (X'-, )']'" -(1+X"-, . ))'" Fig.…”

Forward scattering magneto-optical spectra of the CsD2line

“…The electric dipole moment is derived as follows: The magnetic dipole moment is expressed by When the Larmor frequency (coL ) is small compared to the angular frequency (q) of the valence electron, sincoL t sinyt may be approximated as sincoL t/~2 [11]. For a cesium atom, y=10' Hz and coL =10 Hz at 0.015 T. The electric dipole moment may be written as p"=(p, /+2) [ cosa coscol t +sincoL t ],…”