Application of the Generalized Bessel Function to Two-Color Phase-of-the-Phase Spectroscopy

Xunqin Huo, Weifeng Yang (), Facheng Jin, Shuai Ben and Xiaohong Song ()
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Xunqin Huo: Institute of Mathematics, College of Science, Shantou University, Shantou 515063, China
Weifeng Yang: School of Science and Center for Theoretical Physics, Hainan University, Haikou 570228, China
Facheng Jin: Institute of Mathematics, College of Science, Shantou University, Shantou 515063, China
Shuai Ben: School of Science and Center for Theoretical Physics, Hainan University, Haikou 570228, China
Xiaohong Song: School of Science and Center for Theoretical Physics, Hainan University, Haikou 570228, China

Mathematics, 2022, vol. 10, issue 24, 1-13

Abstract: In two-color strong field ionization of atoms, dynamical characteristics such as ionization rate and electron trajectory depend heavily on the relative phase of the strong fundamental field and its second harmonic. The phase-of-the-phase spectroscopy method reveals the oscillation of the photoelectron momentum distribution with the relative phase of the two-color field, and the relative phase contrast and its phase are usually obtained by the fitting process. Instead, we apply the generalized Bessel function to the strong field approximation and derive analytical expressions for the first- and second-order relative phase contrast and phase-of-the-phase spectra. Our analytical results are in good agreement with fitting-based ones, but calculating them is much less computationally intensive. We illustrate the advantage of using generalized Bessel functions in two-color phase-of-the-phase spectroscopy of argon.

Keywords: photoelectron momentum distribution; strong field approximation; phase-of-the phase; generalized Bessel function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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