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Acta Physica Sinica

Theoretical study of the pump light absorption inside a three-level solid state laser medium

Qin Hua, Rulian Fu, Gao Hong-yun, Juan Liu, Shi Xin-Gang, 南开大学现代光学研究所，天津 300071

Published Jan 1, 2005• 0 citations
Publisher

Abstract

The theoretical solution of the pump light absorption of a laser medium is presented. It is shown that the absorption of pump light with respect to the depth in the solid medium is not a simply exponential function. When the pump photon den sity is high enough, the variation of the absorption becomes nonexponential. The se theoretical results have been verified by experiment with the medium of ruby.

DOI
10.7498/aps.54.1587

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The theoretical solution of the pump light absorption of a laser medium is presented. It is shown that the absorption of pump light with respect to the depth in the solid medium is not a simply exponential function. When the pump photon den sity is high enough, the variation of the absorption becomes nonexponential. The se theoretical results have been verified by experiment with the medium of ruby.
The theoretical solution of the pump light absorption in a 4-level solid state gain medium was presented by solving light transport and coupled rate equations of pump process in gain medium.It is shown that the absorption of pump light with respect to the depth in the solid medium is not simply a exponential function,when pump photon density is high enough,this absorption becomes a linearity with the absorption depth in the gain medium.The rule of the pump light absorption changing from expeonential to linearity was discussed.The simulation results for YAG crystal show that a rule of the pump light absorption is simplified to Beers formula only under the condition of I_0≤1.0×10~4 J·s~(-1)·cm~(-2),while I_0≥1.0×10~5 J·s~(-1)·cm~(-2) within absorption depth of 0.7 cm this rule is a linear function.
The optical pumping of high J levels with a broad-band CW laser is studied theoretically. Exact non-perturbative solutions are obtained by means of a Fourier development of the response of the irradiated medium. This leads to such theoretical predictions as the depolarization of the fluorescence for high laser intensities, the power broadening of the Hanle effect and the appearance of a zero-field saturation resonance in the pi fluorescence. All these theoretical predictions are finally compared with recent experiments on the optical pumping of molecules especially Na 2 and I 2 .
The statistical properties of light emitted by a three-level laser are theoretically investigated. In the model considered the three-level medium is coherently excited by another laser having arbitrary photon statistics. It is shown that under certain conditions the photon statistics of the three-level laser is determined by that of the exciting laser. This feature is referred to as induced photon statistics. It is proposed to use this phenomenon to analyze the statistics of a laser involved in a feedback process. Arranging an experiment in a way such that the laser of interest serves as a coherent pump for the probe three-level laser one is able to directly observe the statistics of the feedback-controlled laser by simply detecting the induced photon statistics in the three-level probe system. The analysis of the operation of such two-laser system presented demonstrates, in particular, that the feedback itself is unable to produce a nonclassical state of light which is in complete agreement with the conclusion of Wiseman and Milburn [Phys. Rev. A 49, 1350 (1994)].
The laser-pumped 87Rb maser showed many new experimental features.1 A precise understanding of the maser behavior is obtained by considering a simple three-level atom, located inside a microwave cavity, interacting with a frequency-modulated laser. This simple model is based on the density operator formalism within a semi-classical approach. We show that moderately rapid modulation of the laser frequency results in sustained large hyperfine coherence, thus high gain, due to reduced light broadening, even for a high intensity pump. This is optimally achieved with a given modulation depth which is proportional to the light intensity. This last result has also been obtained when considering only the maximization of the population inversion.2 On the other hand the modulation greatly decreases the dependence of the maser frequency upon the laser frequency (through the variation of the light shift), therefore reducing the requirements for the mid- and the long-term frequency stability of the pumping laser. Finally the maser frequency suffers a small modulation, relatively insensitive to the modulation depth, which becomes negligible for sufficiently high modulation frequencies.