“…Several theoretical and experimental studies [2][3][4], particularly in elliptically polarized field [5], for BTH have been performed. For a certain order of BTH, abnormal ellipticity dependence of the harmonic yield was observed [6]. However, the mechanism of the BTH generation is still not understood very well and remains an open question.…”
We explore the mechanism of below-threshold even-harmonic generation of the H + 2 molecular ion subject to intense near-infrared linearly and circularly polarized laser fields. The task is accomplished by accurate treatment of the time-dependent Schrödinger equation in prolate spheroidal coordinates within the generalized pseudospectral formalism. Even harmonics are detected in the harmonic spectra of stretched molecules, mostly with the internuclear separations of 5 to 9 a.u. Consecutive dynamic localization of the electron density near each of the nuclei is responsible for the broken inversion symmetry, which in turn leads to emission of low-order even harmonics. An intuitive picture of the process is provided by the analysis of the time evolution of the electron density and time-frequency spectra of the dipole acceleration. A clear theoretical explanation of the phenomenon is given within the Floquet formalism.
“…Several theoretical and experimental studies [2][3][4], particularly in elliptically polarized field [5], for BTH have been performed. For a certain order of BTH, abnormal ellipticity dependence of the harmonic yield was observed [6]. However, the mechanism of the BTH generation is still not understood very well and remains an open question.…”
We explore the mechanism of below-threshold even-harmonic generation of the H + 2 molecular ion subject to intense near-infrared linearly and circularly polarized laser fields. The task is accomplished by accurate treatment of the time-dependent Schrödinger equation in prolate spheroidal coordinates within the generalized pseudospectral formalism. Even harmonics are detected in the harmonic spectra of stretched molecules, mostly with the internuclear separations of 5 to 9 a.u. Consecutive dynamic localization of the electron density near each of the nuclei is responsible for the broken inversion symmetry, which in turn leads to emission of low-order even harmonics. An intuitive picture of the process is provided by the analysis of the time evolution of the electron density and time-frequency spectra of the dipole acceleration. A clear theoretical explanation of the phenomenon is given within the Floquet formalism.
“…Antoine et al [5] confirmed such behavior, finding that the rotation angles and ellipticities of the harmonics strongly depend on their position in the spectrum, but that the ellipticities of the harmonics remain smaller than that of the driving laser. Other experiments have found unusual polarization characteristics for particular harmonics [6]. Theorists, meanwhile, have found that prediction of harmonic polarization provides a stringent test of models and methods [3,7,8].…”
“…In the calculation for N 2 , we used the rotational constant B = 1.99 cm -1 , from which a revival period T rev = 1/(2Bc) is calculated to be 8.3 ps, and a constant value of p 2 so as to fit the result to the experimental. The rotational temperature was set at T rot = 100 K, since this value reproduced the frequency spectrum of S (19) (Δt) having the peak at the same J as that in the experimental. As shown in Fig.1, the leading term p 2 <<cos 2 θ>>(Δt) in Eq.…”
Section: Methodsmentioning
confidence: 99%
“…The n-th harmonic radiation was detected by an electron multiplier mounted on a vacuum ultraviolet monochromator, and the signal was processed by a boxcar averager, converted to the digital signal with an A/D converter and stored on a personal computer. The probe pulse polarization was fixed to the direction along the entrance slit of the monochromator to maintain a constant diffraction efficiency, 19) while the pump polarization was rotated. Figure 1 shows the time-dependent 19th harmonic signal observed for N 2 as a function of Δt for α = 0˚ and the 19th harmonic signal S (19) (Δt) calculated by the leading term p 2 <<cos 2 θ>>(Δt) in Eq.…”
Section: Methodsmentioning
confidence: 99%
“…The probe pulse polarization was fixed to the direction along the entrance slit of the monochromator to maintain a constant diffraction efficiency, 19) while the pump polarization was rotated. Figure 1 shows the time-dependent 19th harmonic signal observed for N 2 as a function of Δt for α = 0˚ and the 19th harmonic signal S (19) (Δt) calculated by the leading term p 2 <<cos 2 θ>>(Δt) in Eq. (3) under the same condition as the experiment.…”
We measured the dependence of high-order harmonic generation (HHG) on the angle α between polarization directions of high-intensity femtosecond laser pulses in the pump and probe experiment. The experimental results of N 2 and O 2 are compared with the calculated ones using the theory developed recently to illustrate the characteristic properties of HHG from aligned N 2 and O 2 , and then the excellent agreement is obtained. It is also shown that the observed α-dependent harmonic signal is strongly influenced by the degree of alignment of molecules and is not identical to the harmonic distribution calculated as a function of the angle between the field direction and the molecular axis.
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