Numerical solution of time-dependent Schrödinger equation for multiphoton processes: A matrix iterative method

Nurhuda, Muhammad; Faisal, Farhard

doi:10.1103/physreva.60.3125

Cited by 110 publications

(91 citation statements)

References 43 publications

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“…Substitution of the partial-wave expansion into the TDSE gives a system of coupled equations for the radial functions, describing evolution of the system in time. To solve this system, we use the matrix iteration method [45]. The ionization amplitudes a(k) are obtained by projecting the solution of the TDSE at the end of the laser pulse on the set of the ingoing scattering states of the target atom.…”

Section: Theory and Discussionmentioning

confidence: 99%

Angular dependence of photoemission time delay in helium

et al. 2016

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Time delays of electrons emitted from an isotropic initial state with the absorption of a single photon and leaving behind an isotropic ion are angle independent. Using an interferometric method involving XUV attosecond pulse trains and an IR-probe field in combination with a detection scheme, which allows for full three-dimensional momentum resolution, we show that measured time delays between electrons liberated from the 1s 2 spherically symmetric ground state of helium depend on the emission direction of the electrons relative to the common linear polarization axis of the ionizing XUV light and the IR-probing field. Such time delay anisotropy, for which we measure values as large as 60 as, is caused by the interplay between final quantum states with different symmetry and arises naturally whenever the photoionization process involves the exchange of more than one photon. With the support of accurate theoretical models, the angular dependence of the time delay is attributed to small phase differences that are induced in the laser-driven continuum transitions to the final states. Since most measurement techniques tracing attosecond electron dynamics involve the exchange of at least two photons, this is a general and significant effect that must be taken into account in all measurements of time delays involving photoionization processes.

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Section: Theory and Discussionmentioning

confidence: 99%

Angular dependence of photoemission time delay in helium

et al. 2016

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“…To solve this system we use the matrix iteration method developed in [21]. Ionization amplitudes a(p)…”

Section: Theorymentioning

confidence: 99%

Evolution of the transverse photoelectron-momentum distribution for atomic ionization driven by a laser pulse with varying ellipticity

Ivanov

2014

Phys. Rev. A

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We consider the process of atomic ionization driven by a laser pulse with varying ellipticity. We study distribution of the momenta of the photoelectrons, ionized by a strong laser field, emitted in the direction perpendicular to the polarization plane (transverse distribution). We show, that with changing laser pulse ellipticity, the transverse distribution evolves from the singular cusp-like distribution for the close to linear polarization to the smooth gaussian-like structure for the close to circular polarization. In the latter case, when the ellipticity parameter ǫ → 1 the strong-field approximation formula for the transverse momentum distribution becomes quantitatively correct.

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“…As an example, when the laser intensity I = 10 14 W/cm 2 and wavelength λ = 600 nm, the ionization potential I p of the ground-state hydrogen molecular ion is 1.1034 hatree odinger equation, this can be realized with the split-operator method [22]. For the hydrogen molecular ion, within BOA, a proper internuclear distance R will enhance the high-order harmonic generation [16], and it will be interesting to go beyond the Born-Oppenheimer approximation to investigate what further interesting insights can be obtained when the nuclear motion is taken into account [23][24].…”

Section: Summary and Discussionmentioning

confidence: 99%

Classical calculation of high-order harmonic generation of atomic and molecular gases in intense laser fields

et al. 2001

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Based upon our previous works ( Eur. Phys.J.D 6, 319(1999); Chin.Phys. Lett. 18, 236(2001)), we develop a classical approach to calculate the high-order harmonic generation of the laser driven atoms and molecules. The Coulomb singularities in the system have been removed by a regularization procedure.Action-angle variables have been used to generate the initial microcanonical distribution which satisfies the inversion symmetry of the system. The numerical simulation show, within a proper laser intensity, a harmonic plateau with only odd harmonics appears. At higher intensities, the spectra become noisier because of the existence of chaos. With further increase in laser intensity, ionization takes place, and the high-order harmonics disappear. Thus chaos introduces noise in the spectra, and ionization suppresses the harmonic * E-mail address: Chlee@wipm.whcnc.ac.cn. 1 generation, with the onset of the ionization follows the onset of chaos.

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Numerical solution of time-dependent Schrödinger equation for multiphoton processes: A matrix iterative method

Cited by 110 publications

References 43 publications

Angular dependence of photoemission time delay in helium

Angular dependence of photoemission time delay in helium

Evolution of the transverse photoelectron-momentum distribution for atomic ionization driven by a laser pulse with varying ellipticity

Classical calculation of high-order harmonic generation of atomic and molecular gases in intense laser fields

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