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Acta Physica Sinica

Physical modeling of broadband pulsed laser amplification process based on hybrid-widened linewidth

Lanqin Liu, Jingqin Su, Luo Bin, Wang Wen-Yi, Jing Feng, Xiaofeng Wei, (1)西南交通大学计算机与通信工程学院,成都 610031; (2)中国工程物理研究院激光聚变研究中心,绵阳 621900

Published Jan 1, 2007• 4 citations
Publisher

Abstract

Physical model was established to describe the broadband pulsed laser amplification processes. In this model, Cross relaxation was introduced to study the transformation of homogeneous and inhomogeneous population inversion after laser passage. Hybrid-widened linewidth, homogeneity and inhomogeneity were emphatically considered, which were had not been take into account in other models. Based on the physical model, computer simulation software CPAP for broadband pulse laser amplification process was developed. At last, we discussed the possibility that this broadband physical model can be transfered to the narrow_band physical model under certain conditions.

DOI
10.7498/aps.56.6749

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Physical model was established to describe the broadband pulsed laser amplification processes. In this model, Cross relaxation was introduced to study the transformation of homogeneous and inhomogeneous population inversion after laser passage. Hybrid-widened linewidth, homogeneity and inhomogeneity were emphatically considered, which were had not been take into account in other models. Based on the physical model, computer simulation software CPAP for broadband pulse laser amplification process was developed. At last, we discussed the possibility that this broadband physical model can be transfered to the narrow_band physical model under certain conditions.
Experimental and theoretical investigation of the coherent propagation and amplification of polychromatic broadband laser pulses in optically dense resonant media without population inversion was carried out for the cases of plasma in a Ne glow discharge and a pulse discharge in Hg-Ar mixture. High density of Ne and Hg atoms in the metastable state (about 1012 cm-3), which was chosen to be the ground state of the two-level system under consideration, leads to the collective behavior of the atomic system in resonant electromagnetic field. The broadband probe field attenuation and the sideband amplification of the probe under the action of the coherent pump were observed. The amplification dependence on the pump intensity was obtained. The model of the parametrically enhanced collective interactions was developed and comparison the experimental data was made.
Aming at the coherent superposition of laser pulse reflected from the cavity mirror in multi-pass amplification process, a physical model for describing the amplification of coherent superstition of the rising part and the falling part of the pulse in a gain medium is established. According to theoretical analysis, standing wave is formed by the coherent superposition of the rising part and falling part of the pulse. The inversion population density shows up the effect of hole-burning by the standing wave, and the gain and pulse shape are affected. Based on this physical model, three conditions, i.e., no superposition, coherent superposition, and incoherent superposition are compared. This study will provide the instructions for high power solid laser design.
Recent advances in laser technology have led to the production of ultrashort electromagnetic pulses of very high peak power. In this paper we develop a theory which describes the transient behavior of such pulses in a laser amplifier. The effects of atomic coherence and inhomogeneous broadening, necessary for a complete treatment of the problem, are included. In the present development, the degree of homogeneous and inhomogeneous broadening is variable. The two-level active atoms are characterized by a phase memory time T2{T}_{2}T2​ and an inhomogeneous frequency distribution (which leads to a reversible decay time T2∗T_{2}^{}{}_{}{}^{*}T2​​∗). The field (Maxwell) and atomic (Schr\"odinger) equations are coupled in a self-consistent manner as in Lamb's theory of an optical maser. The resulting equations are solved analytically in certain limits, while the general case is integrated numerically. The emphasis is placed on the situation in which T2∗T_{2}^{}{}_{}{}^{*}T2​​∗ and the pulse width are much shorter than T2{T}_{2}T2​. Thus our main effort is devoted to the physics of the inhomogeneously broadened system. The theory itself, however, contains the effects of both forms of broadening. The basic difference between inhomogeneous and homogeneous broadening is discussed. In the former case, the decay of radiation is caused by the dephasing of dipoles, and is reversible. The atomic memory is retained during the dephasing, and an internal reflection of the atomic coordinates, as is exemplified in the "photon echo" process, will cause the dipoles to rephase. The phonon interruptions or atomic collisions that bring about the homogeneous broadening are random processes which lead to an irreversible destruction of the atomic phase memory. The implications of the reversible versus irreversible decay processes are seen to have important consequences in the problem of pulse amplification.
A theory is presented for the effect of cross relaxation (CR) on the saturation with driving-signal intensity of the steady-state gain of a laser amplifier with an inhomogeneously broadened linewidth. The condition of steady-state gain results when the amplifier excitation level W and the driving-signal intensity are constant for about 3τ or longer, where τ is the fluorescence lifetime of the upper laser level. The driving signal is derived from an oscillator operated in the normal mode and which does not saturate the amplifier inversion density over times short compared with τ. We assume that CR, at a rate F, restores to thermal equilibrium any distortion of the spectral inversion density caused by the driving signal. Formulas are derived for steady-state gain saturation with arbitrary F for two cases: the spectral width of the driving signal is (1) narrow and (2) broad relative to the ionic or homogeneous line. The ionic linewidth Δvi is assumed to be much less than the inhomogeneous linewidth Δva and refers to the minimum frequency interval for which infinitely fast CR is operative. The theory also yields the CR coefficients f=(Δvi/Δva) [F/(τ−1+W)] for the narrow-band case and f*=(Δvs/Δva) [F/(τ−1+W)] for the broadband case, where Δvs is the driving-signal bandwidth. These coefficients significantly parametrize the CR effect: for f, f*>1, hole-burning is not severe, whereas for f, f*<1, considerable hole-burning takes place and the gain saturates faster. Finally, the theory is applied to experimental results obtained for Nd3+:glass broadband and narrow-band amplification; an approximate lower bound of 4×105 sec−1 is determined for F.