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Quantum Electronics

The E2/M1 amplitude ratio in a dc-field-induced two-laser-wave mixing in atoms

Polina V. Mironova, Vitalii D Ovsiannikov, Nikita V. Pershin, Evgenii V Chaplygin

Published May 31, 2004• 1 citation
Publisher

Abstract

The effect of a dc electric and (or) magnetic field on the cross section for coherent mixing of two laser waves in atoms is determined. Analytic expressions are obtained for the cross-section dependence on polarisation of incident and generated waves, which allow the measurement of the E2/M1 amplitude ratio Q from the efficiency of a constant-field-induced coherent process for collinear waves. Analytic expressions are also derived for the polarisation dependence of the cross section for frequency mixing in indium and thallium atoms.

DOI
10.1070/qe2004v034n05abeh002633

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The effect of a dc electric and (or) magnetic field on the cross section for coherent mixing of two laser waves in atoms is determined. Analytic expressions are obtained for the cross-section dependence on polarisation of incident and generated waves, which allow the measurement of the E2/M1 amplitude ratio Q from the efficiency of a constant-field-induced coherent process for collinear waves. Analytic expressions are also derived for the polarisation dependence of the cross section for frequency mixing in indium and thallium atoms.
The effect is determined of a steady electric or/and magnetic field on coherent frequency mixing of a two-colour radiation in atoms. Analytical formulas for the cross section dependence on polarization have been derived which provide information on a possible way to determining E2/M1 amplitude ratio from the efficiency of the de-field-induced coherent process for collinear laser waves. The polarization-dependent properties of the process’ cross section are determined analytically in the case of Indium and Thallium atoms.
A static electric field may induce essential changes to the cross section for the magnetic-field-induced coherent frecuency mixing of two laser waves, modifying the cross-section dependence on the magnetic field and polarization vectors of incident waves, which depends on the ratio of M1/E2 contributions to n1 2P1/2 (3/2) - n2 2P3/2(1/2) radiation transition amplitude. Relations between the M1/E2 ratio and quantitative characteristics of polarization asymmetry in cross section are determined. Calculated numerical data are presented for coherent mixing of two laser waves on Cs, Rb and K atoms.
Polarization dependence of amplitude for resonant magnetic-field-induced coherent mixing of two collinear laser waves may be used for separating M1 and E2 contributions to n1 2P1/2(3/2) - n2 2P3/2(1/2) dipole-forbidden transition in atoms. The interference between E2 and Ml terms of the amplitude may cause linear polarization and circular dichroism effects. The dependencies of the two effects on the width and splitting of resonance levels, on resonance detuning, on relative directions of steady and alternating field vectors are determined. Numerical data are presented for frequency summation of two laser waves on Cs, Rb and K atoms.
Polarization dependence of amplitude for resonant magnetic-field-induced coherent mixing of two collinear laser waves may be used for separating M 1 and E 2 contributions to n 1 2 P 1/2(3/2) – n 2 2 P 3/2(1/2) dipole-forbidden transition in atoms. In particular, the interference between E 2 and M 1 terms of the amplitude may cause linear polarization and circular dichroism effects. The dependencies of the two polarization effects on the width and splitting of resonance levels, on resonance detuning, on relative directions of steady and alternating field vectors are determined. A static electric field may induce essential changes to the cross section for the magnetic-field-induced mixing, modifying its dependence on the magnetic field and incident wave polarization vectors. Relations between the M 1/ E 2 amplitude ratio and quantitative characteristics of polarization asymmetry in cross section are determined. Numerical data are presented for coherent mixing of two laser waves on Cs, Rb and K atoms.
The relative contributions of the magnetic dipole interaction ( M 1) and the electric quadrupole interaction ( E 2) in the dipole-forbidden three-wave process of mixing two-colour radiation in free atoms may be determined from the dependence of the frequency-conversion efficiency on the incident-wave polarization. Analytical expressions are derived for the polarization dependence of amplitudes and cross sections of a double-resonant scattering of the sum- and difference-frequency photons. Numerical estimates are presented for the ratio of E 2 and M 1 three-photon amplitudes in ground-state indium and thallium atoms.