Based on the procedure proposed by L. V. Keldysh, the ionization rate is calculated for a two-band cosine model of the energy structure of a crystal corresponding to the strong-coupling approximation. The main difference from earlier papers is that it directly takes into account the contribution of Bragg reflections of electrons at the boundaries of the Brillouin zone due to the specific choice of the dispersion relation. As a result of the calculation. a singularity is obtained on the intensity dependence of the ionization rate. which occurs at intensities around 10 TW/cm(2) for broad-band insulator crystals. The meaning and physical causes Of this singularity are analyzed, as well as the degree to which it is affected by the mathematical procedure used for the calculation. (C) 2006 Optical Society of America.
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机译：基于L. V. Keldysh提出的程序，计算了对应于强耦合近似的晶体能量结构的双带余弦模型的电离速率。与早期论文的主要区别在于，由于色散关系的特定选择，它直接考虑了布里渊区边界处电子的布拉格反射的贡献。作为计算的结果。在电离速率的强度依赖性上获得奇点。对于宽带绝缘体晶体，其强度约为 10 TW/cm（2）。分析了这个奇点的含义和物理原因，以及它受用于计算的数学程序的影响程度。（C） 2006年美国光学学会。
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