The spatial distributions of the high-order harmonics from H₂⁺ driven by the linearly and the circularly polarized laser fields have been theoretically investigated. It is found that when the molecular axis parallels to the polarized direction of the linearly polarized laser field, the contributions of the harmonics are mainly from the negative-H and the positive-H for the cases of E(t) > 0 and E(t) < 0, respectively. As the angle between the molecular axis and the linearly polarized laser field increases, the contributions of the harmonics from the negative-H are enhanced and play the main role in the harmonic spectrum. Further, with the introduction of the controlling circularly polarized laser field, the intensity enhancement of the harmonics from the positive-H can be achieved. Moreover, the contributions of the harmonics from the two-H nuclei are sensitive to the ellipticity of the laser field. Finally, the time-frequency analyses of the harmonics and the time-dependent electron locations have been given to explain the physical mechanism behind the spatial distributions of the harmonics from the two-H nuclei of H₂⁺.

中文翻译：

---

通过线性和圆偏振激光场控制H ₂ ^+的谐波分布

从理论上研究了线性和圆偏振激光场驱动的H ₂ ⁺高次谐波的空间分布。发现当分子轴平行于线性偏振激光场的偏振方向时，在E（t）> 0和E（Ť）<0。随着分子轴和线偏振激光场之间的夹角增加，来自负H的谐波的贡献增强，并在谐波频谱中起主要作用。此外，通过引入控制的圆偏振激光场，可以实现来自正-H的谐波的强度增强。而且，来自两个H原子核的谐波的贡献对激光场的椭圆率很敏感。最后，给出了谐波的时频分析和与时间有关的电子位置，以解释H ₂ ⁺的两个H核中谐波的空间分布背后的物理机理。