Quantum theory of scattering of ultrashort electromagnetic field pulses by polyatomic structures

Макаров, Д. Н.

doi:10.1364/oe.27.031989

Cited by 27 publications

(39 citation statements)

References 42 publications

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“…For example, in the particular case of a monoatomic system and a hydrogen-like atom, the same result was obtained in [ 29 ]. Summation in Equation (3) goes over all the atoms a of which the polyatomic system consists and over all the electrons e that enter these atoms.…”

Section: Scattering Ultrashort Pulse (Usp)supporting

confidence: 77%

“…Let some atom be located at the origin of the coordinate system, and the entire polyatomic system be in the ground state

. Furthermore, we will use the results of [ 29 ] and the wave function given in Equation (2). As a result, the probability

of producing a photon of a given frequency

per unit solid angle

with the simultaneous transition of a polyatomic system from the ground state to all possible final states will be:

where

are the coordinates of the electron of the atom a relative to the selected coordinate system;

are the coordinates of the electron relative to the atom number a ,

-photon frequency; and

is the unit vector along the photon emission direction.…”

Section: Scattering Ultrashort Pulse (Usp)mentioning

confidence: 99%

“…More recently, studies have begun to appear that show that when using USPs in an X-ray diffraction analysis of a substance, the usual approaches may not be correct (see [ 12 ] and the references therein). For example, in [ 29 ] the quantum theory of USPs was developed in a general form, which shows that in the case of X-ray diffraction analysis of polyatomic systems, it is necessary to take into account the quantum nature of the scattered USPs.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, the theory of the scattering of attosecond pulses on polyatomic structures has been developed taking into account the magnetic component of USPs, and studies [ 29 ] and [ 30 ] have been used as a basis. In [ 29 ], a theoretical apparatus had been developed in a general form for calculating the scattering spectra of USPs. This theory used an unknown wave function of electrons in an USP field, which was found in [ 30 ].…”

Section: Introductionmentioning

confidence: 99%

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Scattering of Ultrashort X-ray Pulses by Various Nanosystems

2020

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Currently, the study of the scattering of ultrashort X-ray pulses (USPs) by various objects is an urgent task, in connection with the creation of powerful sources of USP generation. In this paper, the theory of the scattering of attosecond pulses by polyatomic structures is developed taking into account the magnetic component of USPs. It is shown that the scattering spectra depend not only on the structure of the target, but also on other characteristics of USPs. Results are presented of the calculation of the scattering spectra on various nanosystems, such as rings, groups of rings, carbon nanotubes (CNTs), and groups of co-directed CNTs (forest CNTs). The calculation results are presented in an analytical form, which allows a general analysis of the expressions. It was found that taking the magnetic component of the momentum into the scattering spectra into account leads to the generation of the second harmonic. In this case, the spectra have characteristic features and differ from the scattering spectra at the carrier frequency, which can complement ultra-high-resolution X-ray analysis. It is shown that the scattering spectra of some structures, for example, forest CNTs, have a strictly specified radiation direction and such material in the field of such USPs is non-reflective (completely black).

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Section: Scattering Ultrashort Pulse (Usp)supporting

confidence: 77%

“…Let some atom be located at the origin of the coordinate system, and the entire polyatomic system be in the ground state

. Furthermore, we will use the results of [ 29 ] and the wave function given in Equation (2). As a result, the probability

of producing a photon of a given frequency

per unit solid angle

with the simultaneous transition of a polyatomic system from the ground state to all possible final states will be:

where

are the coordinates of the electron of the atom a relative to the selected coordinate system;

are the coordinates of the electron relative to the atom number a ,

-photon frequency; and

is the unit vector along the photon emission direction.…”

Section: Scattering Ultrashort Pulse (Usp)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Scattering of Ultrashort X-ray Pulses by Various Nanosystems

2020

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“…The theoretical basis for carrying out this kind of research is rather poorly developed and often does not take into account the aspects of scattered USPs 14,16,[23][24][25][26][27][28] , which is why theoretical studies of the aspects of USPs in their scattering by various polyatomic systems are currently being carried out. In spite of this, the magnetic component of such USPs is usually not taken into account.…”

Section: X-ray Diffraction Analysis Of Matter Taking Into Account Thementioning

confidence: 99%

X-ray diffraction analysis of matter taking into account the second harmonic in the scattering of powerful ultrashort pulses of an electromagnetic field

Есеев

Goshev

Makarova

et al. 2021

Sci Rep

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It is well known that the scattering of ultrashort pulses (USPs) of an electromagnetic field in the X-ray frequency range can be used in diffraction analysis. When such USPs are scattered by various polyatomic objects, a diffraction pattern appears from which the structure of the object can be determined. Today, there is a technical possibility of creating powerful USP sources and the analysis of the scattering spectra of such pulses is a high-precision instrument for studying the structure of matter. As a rule, such scattering occurs at a frequency close to the carrier frequency of the incident USP. In this work, it is shown that for high-power USPs, where the magnetic component of USPs cannot be neglected, scattering at the second harmonic appears. The scattering of USPs by the second harmonic has a characteristic diffraction pattern which can be used to judge the structure of the scattering object; combining the scattering spectra at the first and second harmonics therefore greatly enhances the diffraction analysis of matter. Scattering spectra at the first and second harmonics are shown for various polyatomic objects: examples considered are 2D and 3D materials such as graphene, carbon nanotubes, and hybrid structures consisting of nanotubes. The theory developed in this work can be applied to various multivolume objects and is quite simple for X-ray structural analysis, because it is based on analytical expressions.

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Temporal dynamics of resonant scattering of an ultrashort laser pulse by an atom

Astapenko

2020

Appl. Phys. B

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Quantum theory of scattering of ultrashort electromagnetic field pulses by polyatomic structures

Cited by 27 publications

References 42 publications

Scattering of Ultrashort X-ray Pulses by Various Nanosystems

Scattering of Ultrashort X-ray Pulses by Various Nanosystems

X-ray diffraction analysis of matter taking into account the second harmonic in the scattering of powerful ultrashort pulses of an electromagnetic field

Temporal dynamics of resonant scattering of an ultrashort laser pulse by an atom

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