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<正>Bespalov-Talanov theory on small-scale self-focusing is extended to include medium loss for a divergent beam.Gain spectrum of small-scale perturbation is presented in integral form,and based on the derived equations we find that the cutoff spatial frequency for perturbation keeps a constant value.The larger the medium loss is,the smaller the fastest growing frequency and the maximum gain of perturbation with defined propagation distance are.For a given medium loss the maximum gain of perturbation becomes larger,while the fastest growing frequency becomes smaller as the propagation distance becomes longer. Furthermore,physical explanations for the appearance of these features are given. 相似文献
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正1引言本文考虑下列非线性奇异边值问题■α≥1,a≥0,b0.此类非线性奇异边值问题出现在许多物理学领域,例如,电流体动力学、核物理、原子结构和原子计算.当α=2并且f(x,y)=ny/y+k,n0,k0时,方程(1)表示一个带有Michaelis-Menten吸收动力学的稳态氧扩散模型[1].对于α=1,f(c,y)=y~γ,这里γ是一个物理常数,上述公式用于研究热爆炸[2],α=2,f(x,y)=γe~y,这里γ是一个表示 相似文献
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