Odd–even harmonic generation from oriented CO molecules in linearly polarized laser fields and the influence of the dynamic core-electron polarization

Phan, Ngoc-Loan; Le, Cam-Tu; Hoang, Van-Hung; Le, Van-Hoang

doi:10.1039/c9cp04064a

Cited by 14 publications

(40 citation statements)

References 66 publications

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“…For other orientations, both odd and even harmonics appear in HHG spectra [19]. We have examined these results by the method of numerically solving the time-dependent Schrödinger equation (TDSE) [22]. Moreover, we have also indicated a non-trivial dependence of even-to-odd ratio, i.e., the ratio of intensity between the adjacent even and odd harmonics, on the molecular orientation [22].…”

Section: Introductionmentioning

confidence: 94%

“…In the past, many studies have been focused on atoms [2,6,7], and then expanded to symmetric molecules [3,4,[8][9][10][11][12], whose HHG spectra contain only odd harmonics due to the timespatial symmetry of the laser-atom/molecule system [13,14]. Recently, much attention has been paid to asymmetric molecules such as HeH 2+ , CO, OCS, HCl [15][16][17][18][19][20][21][22]. The HHG spectra of those molecules possess both odd and even harmonics due to the symmetry breaking of the lasermolecule systems [14,17,19,22].…”

Section: Introductionmentioning

confidence: 99%

“…Recently, much attention has been paid to asymmetric molecules such as HeH 2+ , CO, OCS, HCl [15][16][17][18][19][20][21][22]. The HHG spectra of those molecules possess both odd and even harmonics due to the symmetry breaking of the lasermolecule systems [14,17,19,22]. The odd-even HHG spectra can be applied for reconstructing the asymmetric molecular orbital [18], probing electron dynamics [17,[23][24][25][26], nuclear dynamics [27], and orientation degree of asymmetric molecules [28,29].…”

Section: Introductionmentioning

confidence: 99%

“…We have examined these results by the method of numerically solving the time-dependent Schrödinger equation (TDSE) [22]. Moreover, we have also indicated a non-trivial dependence of even-to-odd ratio, i.e., the ratio of intensity between the adjacent even and odd harmonics, on the molecular orientation [22]. Indeed, with the increasing of the orientation angle to 90 • , the even-to-odd ratio for the parallel HHG decreases to zero, while this ratio for the perpendicular HHG grows up to infinity.…”

Section: Introductionmentioning

confidence: 99%

“…For this purpose, we choose a simple model of an asymmetric molecule Z 1 Z 2 with one electron to investigate for easier adjustment of the nuclear charges. Despite the simplicity, this model still ensures the generality of real asymmetric molecules which are usually modeled as one active electron molecule in the theoretical investigation [18,20,22]. The HHG spectra are simulated by the TDSE method.…”

Section: Introductionmentioning

confidence: 99%

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Effect of Molecular Charge Asymmetry on Even-to-odd Ratio of High-order Harmonic Generation

Nguyen-Huynh¹,

Le²,

Phan³

et al. 2020

Comm. in Phys.

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Recently, asymmetric molecules, such as HeH\(_2^+\), CO, OCS, HCl, have been evolved much attention since its rich information in the high-order harmonic generation (HHG), whose ratio of adjacent even and odd harmonics characterizes the asymmetry of molecules. In this paper, we study the dependence of even-to-odd ratio on the asymmetric parameters, in particular, the nuclear-charge ratio, and the permanent dipole, by exploiting a simple but general model of asymmetric molecules \(Z_1Z_2\) subjected to an intense laser pulse. The HHG is simulated by the numerical method of solving the time-dependent Schrödinger equation. We find out that this even-to-odd ratio strongly depends on the nuclear-charge ratio. In particular, the even-to-odd ratio reaches its maximum when the nuclear-charge ratio is about from 0.5 to 0.7. Besides, the dependence on the permanent dipole of the even-to-odd ratio has a non-trivial law. To explain, we calculate the analytical ratio of the transition dipole according to the emission of even and odd harmonics, and this ratio is well consistent with the even-to-odd ratio of the HHG.

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Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Effect of Molecular Charge Asymmetry on Even-to-odd Ratio of High-order Harmonic Generation

Nguyen-Huynh¹,

Le²,

Phan³

et al. 2020

Comm. in Phys.

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Effect of ionization asymmetry on high harmonic generation from oriented CO in orthogonal two-color fields

Yang¹,

Liu²,

Zhao³

et al. 2021

J. Phys. B: At. Mol. Opt. Phys.

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We investigate the high harmonic generation from oriented CO molecules in orthogonal two-color (OTC) fields by solving the three-dimensional time-dependent Hartree-Fock equation. The infrared fundamental laser pulse with frequency ω polarized along the molecular axis drives the harmonic generation process, while a weak second harmonic field with frequency ω 1 = 2ω perturbs the electron dynamics along the direction perpendicular to molecular axis. We observe non-integer order harmonics of ω 1 generated from CO with its polarization perpendicular to the molecular axis, which differs from aligned H 2 under the same laser fields. Combining the Lewenstein model with the classical electronic trajectory analysis, we find the ionization asymmetry along molecular axis in polar molecules under the cross modulation of the OTC fields results in the difference of high harmonics between CO and H 2 .

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Odd-even harmonic generation from oriented CO and NO molecules within strong-field approximation

Phan

2020

J. Phys.: Conf. Ser.

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Recently, the pure-even high-order harmonic generation (HHG) has theoretically found by the ab initio methods for CO molecules interacting with an intense laser. An examination of this phenomenon using the analytical approach such as the Lewenstein model, and for another polar molecular with other symmetry is needed. In this study, we theoretically investigate the odd-even harmonic generation from the CO and NO molecules in the linearly polarized laser field by using the Lewenstein model. Firstly, we confirm entirely the pure-odd and pure-even emission from CO whose molecular axis is perpendicular to the polarization direction of the laser. Secondly, we show that the odd-even behavior of the HHG spectra from NO is similar to that from the CO molecule. The HOMO’s symmetricity of the linear molecule does not change the odd-even property of the HHG spectra.

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Odd–even harmonic generation from oriented CO molecules in linearly polarized laser fields and the influence of the dynamic core-electron polarization

Abstract: We present a detailed theoretical study of the odd–even harmonics generated from the polar molecule CO by the method based on numerically solving the time-dependent Schrödinger equation within the single-active-electron approximation.

Cited by 14 publications

References 66 publications

Effect of Molecular Charge Asymmetry on Even-to-odd Ratio of High-order Harmonic Generation

Effect of Molecular Charge Asymmetry on Even-to-odd Ratio of High-order Harmonic Generation

Effect of ionization asymmetry on high harmonic generation from oriented CO in orthogonal two-color fields

Odd-even harmonic generation from oriented CO and NO molecules within strong-field approximation

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