Abstract
As discussed in Chap. 3, a full quantitative description of high-order harmonic generation (HHG) in a macroscopic medium requires the inclusion of the propagation of fundamental laser field and generated harmonic field. The QRS theory has been successfully incorporated into the well-established macroscopic propagation theory such that simulated HHG spectra can be compared directly with the experimental measurements in Fig. 3.3, where the experimental conditions have been well specified. High harmonics in these studies were generated with multi-cycle (FWHM, \(\sim \)10 optical cycles) laser pulses. And these simulations were based on the assumption that the initial fundamental laser pulse at the entrance of gas medium was a Gaussian beam. Few-cycle laser pulses are also widely used to produce high harmonics, and they are usually obtained by gas-filled hollow-core fiber compression technique [1]. In this method, an incident laser beam can be dominantly coupled into the fundamental EH\(_{11}\) hybrid mode by proper mode matching. At the exit of the fiber a truncated Bessel (TB) beam is produced instead of a Gaussian beam. Nisoli et al. [2] have shown that using a TB beam as the driving laser pulse the spatial properties (divergence and brightness) of high harmonics were greatly improved. To simulate high harmonics generated by few-cycle pulses, the macroscopic propagation code is generalized to include the conditions where the spatial distribution of generating laser pulse is a TB beam.
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Notes
- 1.
The distributions of laser intensity and phase in space are plotted in Figs. D.3 and D.5.
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Jin, C. (2013). Comparison of High-Order Harmonic Generation of Ar Using a Truncated Bessel or a Gaussian Beam. In: Theory of Nonlinear Propagation of High Harmonics Generated in a Gaseous Medium. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-01625-2_4
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