Magnetic-field enhanced modulation transfer spectroscopy: theory and experiment

Abstract

We herein present a theoretical and experimental study on magnetic-field enhanced modulation transfer spectroscopy (MTS) for the 5S1/2 (F = 1) → 5P3/2 (F′ = 0, 1, and 2) transitions of 87Rb atoms. The density matrix equations are solved numerically to obtain the MTS spectra and an excellent agreement is found between the experimental and calculated results. In particular, the enhancement of the MTS signal for the F = 1 → F′ = 0 transition in the presence of the magnetic field is directly verified based on the comparison of the results calculated by neglecting with those calculated including the Zeeman coherences in the F = 1 ground state. The unexpected behaviors of the F = 1 → F′ = 1 transition are also examined.

Modulation transfer spectroscopy of the D1 transition of potassium: theory and experiment

“…To solve equation ( 1) using the explicit expression of Hamiltonians given in equations ( 2) and ( 3) in the steadystate regime, the density matrix elements must be expanded as various Fourier components oscillating in time with various oscillation frequencies. The detailed description of finding oscillation frequencies at general polarisation configurations were reported in references [18,44]. Thus, when the three-photon interactions are considered, the optical coherences have 20 oscillation frequencies and Zeeman coherences and populations have 11 oscillation frequencies in the cases of lin∥lin and σ + σ + configurations [44].…”

“…The detailed description of finding oscillation frequencies at general polarisation configurations were reported in references [18,44]. Thus, when the three-photon interactions are considered, the optical coherences have 20 oscillation frequencies and Zeeman coherences and populations have 11 oscillation frequencies in the cases of lin∥lin and σ + σ + configurations [44]. We may use these frequencies in the cases of lin⊥lin and σ + σ − configurations as well.…”