Exact wave functions for atomic electron interacting with photon fields

Guo, Dong‐Sheng

doi:10.1007/s11467-013-0283-2

Cited by 3 publications

(2 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In contrast to the classical-field treatment, in the NPQED theory, the radiation field is treated as an internal field. Recent developments in the NPQED theory, which include the exact solutions to driven N -level atoms [18] and modification of the cutoff law in high harmonic generation [19][20][21], further manifest this advantage.…”

Section: Introductionmentioning

confidence: 99%

Conditions for ponderomotive resonances in the Kapitza–Dirac effect

Zhang

Sun

et al. 2015

Front. Phys.

Self Cite

View full text Add to dashboard Cite

By applying a nonperturbative quantum electrodynamic theory, we study ponderomotive resonances when an electron beam is scattered by a standing photon wave. Our study shows that the ponderomotive parameter u p , the ponderomotive energy per laser-photon energy, for each of the two traveling laser modes possesses a minimum value ω/(m e c 2 ). Ponderomotive resonances occur only when the ratio of the laser photon energy to the electron rest-mass energy is a fraction, where the denominator is twice the square of a positive integer and the numerator is the total ponderomotive number, which is also a positive integer.

show abstract

Section: Introductionmentioning

confidence: 99%

Conditions for ponderomotive resonances in the Kapitza–Dirac effect

Zhang

Sun

et al. 2015

Front. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…In this paper, we derive the HHG transition rate formula strictly according to the NPQED theory [9][10]. In this approach, quantum-field Volkov states are used as c Higher Education Press and Springer-Verlag Berlin Heidelberg 2015 intermediate states, followed by an electron transition back to the original atomic bound state [12].…”

Section: Introductionmentioning

confidence: 99%

A nonperturbative quantum electrodynamic approach to the theory of laser induced high harmonic generation

Zhang

Sun

et al. 2014

Front. Phys.

Self Cite

View full text Add to dashboard Cite

Using nonperturbative quantum electrodynamics, we develop a scattering theory for high harmonic generation (HHG). A transition rate formula for HHG is obtained. Applying this formula, we calculate the spectra of high harmonics generated from different noble gases shined by strong laser light. We study the cutoff property of the spectra. The data show that the cutoff orders of high harmonics are greater than that predicted by the "3.17" cutoff law. As a numerical experiment, the data obtained from our repeated calculations support the newly derived theoretical expression of the cutoff law. The cutoff energy of high harmonics described by the new cutoff law, in terms of the ponderomotive energy U p and the ionization potential energy I p , is 3.34U p + 1.83I p . The higher cutoff orders predicted by this theory are due to the absorption of the extra photons, which participate only the photon-mode up-conversion and do nothing in the photoionization process.

show abstract

Guo-Åberg-Crasemann theory for high harmonic generation and its cutoff law

Chao¹,

Zhen-Rong²,

Dong-Sheng³

2015

Acta Phys. Sin.

View full text Add to dashboard Cite

Based on the scattering theory of Guo-Åberg-Crasemann (GAC), which has no artificial assumptions, high harmonic generation (HHG) is studied by using first-principles. The HHG spectra of different rare atoms are also calculated. Using the properties of ordinary Bessel functions and the Einstein photoelectric law in the strong-field case, we reveal a new cutoff law qcħω = (9 -4√2) Up + (2√2-1) Ip ≈ 3.34 Up + 1.83 Ip of HHG based on a mathematical deduction method and a graphical method, which accords well with the Popmintchev’s experimental result published on Science in 2012. This cutoff law also agrees well with our own calculation using the HHG transition rate formula derived from the GAC scattering theory. Thus, we have four pieces of independent evidence for the same cutoff law of HHG. The cutoff orders predicted by this theory are higher due to the absorption of the extra photons. These photons only participate in the photon-mode up-conversion and do nothing in the photoionization process.

show abstract

Exact wave functions for atomic electron interacting with photon fields

Cited by 3 publications

References 26 publications

Conditions for ponderomotive resonances in the Kapitza–Dirac effect

Conditions for ponderomotive resonances in the Kapitza–Dirac effect

A nonperturbative quantum electrodynamic approach to the theory of laser induced high harmonic generation

Guo-Åberg-Crasemann theory for high harmonic generation and its cutoff law

Contact Info

Product

Resources

About