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Journal of Quantitative Spectroscopy and Radiative Transfer

Resonant propagation of coherent pulses in a gas with Doppler broadening

Y. Ben-Aryeh, MEIR MAYSELESS

Published May 1, 1975• 1 citation
Publisher
DOI
10.1016/0022-4073(75)90059-x

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On the propagation of coherent radiation in gases

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We carry out the theoretical study for the generation of vacuum-ultraviolet pulses with a Doppler-broadened gas utilizing high atomic coherence. It is essentially a difference-frequency generation scheme induced by the two-photon near-resonant pump and probe pulses, where the key point is to generate high atomic coherence between the ground and two-photon near-resonant states through a variant of stimulated Raman adiabatic passage with a time-dependent detuning. The advantage of our scheme is that the degree of coherence is sensitive to neither the exact amount and even sign of the detuning, nor the exact timing between the pump, auxiliary, and probe pulses. Hence our scheme is practically insensitive to Doppler broadening. As a specific example, we consider the generation of picosecond Lyman-α pulses with a Kr gas, and quantitatively study the influence of Doppler broadening as well as the intensity and incident timing of the picosecond probe pulse with respect to the pump pulse. The numerical results indicate that our scheme has a certain advantage over the conventional scheme which utilizes two-photon resonant excitation.
We show theoretically that the propagation of light can be slowed down considerably using the method of coherent hole-burning in a Doppler broadened three-level lambda-type atomic medium without the Doppler-free configurations. The reduction of group velocity of light pulse is achieved by the application of a saturating beam and a strong coupling beam which produce a narrow spectral hole-burning at resonance. We can obtain a larger group index than that using the method of saturation absorption spectroscopy in Doppler-broadened two-level atomic systems.
Nonlinear effects in pulse propagation through a medium consisting of four-level double-$\ensuremath{\Lambda}$-type systems are studied theoretically. We apply three continuous-wave driving fields and a pulsed probe field such that they form a closed interaction loop. Due to the closed loop and the finite frequency width of the probe pulses, the multiphoton resonance condition cannot be fulfilled, such that a time-dependent analysis is required. By identifying the different underlying physical processes we determine the parts of the solution relevant to calculate the linear and nonlinear response of the system. We find that the system can exhibit a strong intensity-dependent refractive index with small absorption over a range of several natural linewidths. For a realistic example we include Doppler and pressure broadening and calculate the nonlinear self-phase modulation in a gas cell with sodium vapor and argon buffer gas. We find that a self-phase modulation of $\ensuremath{\pi}$ is achieved after the propagation of a few centimeters through the medium while the absorption and pulse shape distortion in the corresponding spectral range is small.