Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Soviet Journal of Quantum Electronics

Influence of the quadratic Doppler effect on the absorption line profile of particles captured by a trap

Е. А. Титов, V. A. Ulybin

Published Mar 31, 1982• 0 citations
Publisher

Abstract

It is found that allowance for the quadratic Doppler effect broadens and changes the resonance absorption line profile of particles trapped in an oscillator potential comprising a periodic lattice of resonances having an envelope in the form of a conventional Doppler profile, if the particle oscillation frequency is greater than the homogeneous line width. When the quadratic Doppler shift is small compared with the homogeneous line width, its influence is reduced to a shift of the resonances. A new possibility for eliminating thermal broadening of individual resonances is discussed.

DOI
10.1070/qe1982v012n03abeh012094

Related papers

Influence of thermal effects on the two-photon absorption line profile of ions captured in a trap

Е. А. Титов, V. A. Ulybin

An investigation is made of the two-photon absorption line profile in a standing-wave field for particles trapped in an oscillator potential at right angles to the optical beam. It is found that this profile is an equidistant lattice of resonances if the oscillation frequency and the amplitude of the ion thermal oscillations are greater than the homogeneous line width and the size of the optical beam, respectively. Allowance for the thermal quadratic Doppler and Stark effects results in broadening of each resonance and changes its profile. A new method of eliminating thermal broadening of the spectral components of the line profile is discussed

Soviet Journal of Quantum Electronics•May 31, 1982•1 citation

Two-photon absorption line profile of ions captured in a trap

E. V. Baklanov, Е. А. Титов, V. A. Ulybin

The two-photon absorption line profile in a standing wave field is found for particles captured in a three-dimensional trap. When the transverse dimension of the optical beam is comparable with the size of the trap, transit broadening is eliminated and the line profile is that of a resonance having the homogeneous width. For optical beams of small dimensions, homogeneous-width resonances occur in the line profile if the frequency of the ion oscillations in the trap is greater than the homogeneous width.

Soviet Journal of Quantum Electronics•Nov 30, 1980•0 citations

Profile of a two-photon resonant absorption line calculated allowing for the quadratic Doppler effect

Vladimir G. Minogin

The profile of a two-photon resonant absorption line of a particle subjected to a standing optical wave is calculated allowing for the quadratic Doppler effect. It is shown that the line profile is governed entirely by the ratio of the homogeneous line width to the quadratic Doppler frequency shift. An exact expression is obtained for the line profile in the second order in ν/c and the main approximations are considered. The profiles are calculated for the 1S-2S and 1S-3S transitions in the hydrogen atom.

Soviet Journal of Quantum Electronics•Sep 30, 1976•0 citations

Influence of collisions on the saturation of a Doppler line profile

В. А. Алексеев, A. V. Malyugin

An analysis is made of the influence of the changes in the velocity of atoms in collisions on the saturation of a Doppler line profile. It is shown that when the homogeneous line width is sufficiently small the saturation effect cannot be described by Bloch-type phenomenological relaxation constants.

Soviet Journal of Quantum Electronics•Nov 30, 1977•1 citation

ЛАЗЕРНАЯ РЕЗОНАНСНАЯ ФЛУОРЕСЦЕНЦИЯ ВРАЩАЮЩЕЙСЯ БАРИЕВОЙ ПЛАЗМЫ

Н. И. Косарев, Елена Васильевна Феськова

We analytically obtained the frequency dependences of the absorption coefficient profile, taking into account the combined influence of the macroscopic motion of matter, Doppler and Voigt mechanisms of spectral line broadening. The effect of rotation of a spherical plasma on the formation of resonant fluorescence by barium ions upon absorption of laser radiation at a wavelength of 455.4 nm was studied. The deformation of the frequency shape of the laser radiation passing through the plasma and the emission spectrum is due to a shift in the absorption coefficient profile and its broadening caused by the rotational motion of the plasma. An increase in the resonant photons escape from the medium stipulated by the broadening of the emission spectrum of the resonance line is predicted.

Журнал прикладной спектроскопии•Jan 29, 2021•0 citations

Profile of the two-photon absorption line due to the 1S-2S transition in atomic hydrogen

E. V. Baklanov, V. P. Chebotaev

An analysis is made of the profile of a two-photon absorption line of hydrogen free of the first-order Doppler broadening. The possibility of eliminating the quadratic Doppler effect with the aid of a narrow peak of the second derivative of the line profile is considered. It is shown that for a realistic temperature stability it should be possible to achieve a reproducibility of the order of 10 −15 .

Soviet Journal of Quantum Electronics•Mar 31, 1975•1 citation
It is found that allowance for the quadratic Doppler effect broadens and changes the resonance absorption line profile of particles trapped in an oscillator potential comprising a periodic lattice of resonances having an envelope in the form of a conventional Doppler profile, if the particle oscillation frequency is greater than the homogeneous line width. When the quadratic Doppler shift is small compared with the homogeneous line width, its influence is reduced to a shift of the resonances. A new possibility for eliminating thermal broadening of individual resonances is discussed.
An investigation is made of the two-photon absorption line profile in a standing-wave field for particles trapped in an oscillator potential at right angles to the optical beam. It is found that this profile is an equidistant lattice of resonances if the oscillation frequency and the amplitude of the ion thermal oscillations are greater than the homogeneous line width and the size of the optical beam, respectively. Allowance for the thermal quadratic Doppler and Stark effects results in broadening of each resonance and changes its profile. A new method of eliminating thermal broadening of the spectral components of the line profile is discussed
The two-photon absorption line profile in a standing wave field is found for particles captured in a three-dimensional trap. When the transverse dimension of the optical beam is comparable with the size of the trap, transit broadening is eliminated and the line profile is that of a resonance having the homogeneous width. For optical beams of small dimensions, homogeneous-width resonances occur in the line profile if the frequency of the ion oscillations in the trap is greater than the homogeneous width.
The profile of a two-photon resonant absorption line of a particle subjected to a standing optical wave is calculated allowing for the quadratic Doppler effect. It is shown that the line profile is governed entirely by the ratio of the homogeneous line width to the quadratic Doppler frequency shift. An exact expression is obtained for the line profile in the second order in ν/c and the main approximations are considered. The profiles are calculated for the 1S-2S and 1S-3S transitions in the hydrogen atom.
We analytically obtained the frequency dependences of the absorption coefficient profile, taking into account the combined influence of the macroscopic motion of matter, Doppler and Voigt mechanisms of spectral line broadening. The effect of rotation of a spherical plasma on the formation of resonant fluorescence by barium ions upon absorption of laser radiation at a wavelength of 455.4 nm was studied. The deformation of the frequency shape of the laser radiation passing through the plasma and the emission spectrum is due to a shift in the absorption coefficient profile and its broadening caused by the rotational motion of the plasma. An increase in the resonant photons escape from the medium stipulated by the broadening of the emission spectrum of the resonance line is predicted.