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原子在强激光电场中高次谐波辐射的理论与实验研究是当今科学前沿之一.利用量子力学理论和鞍点方法,细致地研究了高次谐波辐射光子的能量与激光相位的关系.对于时间宽度无限长激光,在一个激光周期内特定相位处产生的高阶辐射(X射线)有特定的能量.能量分布在71.80°处成峰,有高斯形函数的对称形状.给出了这种分布的参数化公式.对于不同宽度的飞秒激光,能量分布的成峰位置、最大值和带宽等参数会发生变化.计算表明,三个振荡周期(半高宽)的飞秒激光,当载波-包络相位为17.5°和105°时,可以分别得到纯净的阿秒单脉冲和双脉冲.在能量-相位图上,基本对称的单脉冲峰位为载波相位53.86°,宽度53.34°;高度基本相同的双脉冲峰位分别为-31.51°和143.81°,宽度分别72.19°和73.34°,相位间隔175.33°.这些研究结果,有助于研究超短X射线脉冲的产生、分离、测量和应用.
Atomic theory of laser in high-power electric field and the theory of harmonic radiation is one of the frontiers of science.Using quantum mechanics theory and saddle point method, the relationship between the energy and laser phase of the high-order harmonic photons is studied in detail The infinite-length laser has a specific energy for the high-order radiation (X-ray) produced at a particular phase in a laser cycle. The energy distribution peaks at 71.80 ° and has a symmetric shape of a Gaussian function. This distribution is given The parameters such as peak position, maximum value and bandwidth of the energy distribution will change for different width femtosecond lasers.The calculation shows that the femtosecond laser with three oscillation periods (FWHM) In the energy-phase diagram, the symmetrical single-pulse peak positions are 53.86 ° carrier phase and 53.34 ° width with the envelope phase of 17.5 ° and 105 °, respectively. The same two-pulse peak positions are -31.51 ° and 143.81 °, respectively, with widths of 72.19 ° and 73.34 °, respectively, with phase spacings of 175.33 °. These findings are helpful for the generation, separation, measurement and application of ultrashort X-ray pulses.