Analytic solutions of the susceptibility for Doppler-broadened two-level atoms

Seung Chul Yang, Hyun-Jong Kang, Heung‐Ryoul Noh

Heung‐Ryoul Noh

Heung‐Ryoul Noh, Han Seb Moon

Heung‐Ryoul Noh

We present an analytical study of susceptibility in pump–probe laser spectroscopy for an atomic medium composed of two-level atoms in the Doppler-broadened limit. We derive an accurate analytical formula for susceptibility up to the first (arbitrary) order at the Rabi frequency of the probe (pump) beam. This is expressed in a succinct single term rather than as a complicated summation, as presented in previous papers. We also derive analytical solutions for the linewidth and peak value of the absorption spectrum of the probe beam.

Heung‐Ryoul Noh, Han Seb Moon

We present an analytical calculation of the susceptibility in Doppler-broadened three-level atomic systems using a diagrammatic method. The optical coherences responsible for the susceptibility of the probe field are obtained from the optical Bloch equations for Ladder (lower or upper transition probed), V and Λ-type three-level atoms up to the first (arbitrary) order in the probe (coupling) field Rabi frequency, and are then averaged over a Maxwell–Boltzmann velocity distribution. Finally, we obtain analytical solutions of the susceptibility for four different three-level atomic systems. In particular, the general expressions of the susceptibility are obtained where the wavelengths of the probe and coupling fields are different from each other.

Heung‐Ryoul Noh, Seo Ro Shin, Heung-Sik Noh