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Chinese Physics B

Laser-induced quadrupole—quadrupole collisional energy transfer in Xe—Kr

Zhenzhong Lu, Deying Chen, Rongwei Fan, Yuanqin Xia

Published Jun 1, 2011• 1 citation
Publisher

Abstract

By considering the relative velocity distribution function and multipole expansion interaction Hamiltonian, a three-state model for calculating the cross section of laser-induced quadrupole—quadrupole collisional energy transfer is presented. Calculated results in Xe—Kr system show that in the present system, the laser-induced collision process occurs for ∼4 ps, which is much shorter than the dipole—dipole laser-induced collisional energy transfer (LICET) process. The spectrum of laser-induced quadrupole—quadrupole collisional energy transfer in Xe—Kr system has wider tunable range in an order of magnitude than the dipole—dipole LICET spectra. The peak cross section decreases and moves to the quasi-static wing with increasing temperature and the full width at half peak of the profile becomes larger as the system temperature increases.

DOI
10.1088/1674-1056/20/6/063202

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By considering the relative velocity distribution function and multipole expansion interaction Hamiltonian, a three-state model for calculating the cross section of laser-induced quadrupole—quadrupole collisional energy transfer is presented. Calculated results in Xe—Kr system show that in the present system, the laser-induced collision process occurs for ∼4 ps, which is much shorter than the dipole—dipole laser-induced collisional energy transfer (LICET) process. The spectrum of laser-induced quadrupole—quadrupole collisional energy transfer in Xe—Kr system has wider tunable range in an order of magnitude than the dipole—dipole LICET spectra. The peak cross section decreases and moves to the quasi-static wing with increasing temperature and the full width at half peak of the profile becomes larger as the system temperature increases.
A laser induced quadrupole–quadrupole collisional energy transfer system of Xe–Kr is proposed, and the three-level laser induced collisional energy transfer (LICET) model is presented. Calculating results show that the peak of the LICET profile moves to the red and the FWHM becomes narrower, obviously with the laser field intensity increasing, while the resulting spectra is shifted in frequency toward the blue and the full width at half peak of the profile becomes larger as the relative velocity increases. The spectrum of the quadrupole–quadrupole LICET in the Xe–Kr system has a wider tunable range in an order of magnitude than the dipole–dipole LICET spectra. A cross section of 3.36×10−15 cm2 is obtained, which indicates that the quadrupole–quadrupole LICET process also can be an effective way to transfer energy selectively from a storage state to a target state.
Experimental investigation of laser-induced quadrupole-quadrupole collisional energy transfer between Xe and Kr is reported in this paper. The excitation spectrum of laser-induced collisional energy transfer (LICET) is characterized by a slowly decreasing tail on the blue side of the peak and a width of \ensuremath{\sim}30 cm${}^{\ensuremath{-}1}$. The experimental evidence shows that in the quasistatic wing the quadrupole-quadrupole LICET spectrum follows a power law that is different from the dipole-dipole LICET line shape and the profile of the quadrupole-quadrupole LICET decreases more slowly than the dipole-dipole LICET profile. The results indicate that the laser-induced quadrupole-quadrupole collision can be considered as a practical process to transfer energy selectively from a storage state making a parity-nonallowed transition to a target state making a parity-allowed transition.
A three-state model for calculating the cross section of laser-induced dipole-quadrupole collisional energy transfer in Sr-Ca system is presented. The motion equations for the probability amplitudes of the three intermediate states are obtained. The expression of the cross section is derived. Various factors including field intensity, relative speed, system temperature which influence the collisional cross section are discussed to illustrate the features of the dipole-quadrupole laser-induced collisional energy transfer (LICET)process. Calculating results show that the peak of the LICET profiles moves to the red, the tuning range of the profiles obviously becomes narrower with the laser field intensity increasing and a cross section of 1.25 × 10(-13)cm(2) at a laser intensity of 8.29 × 10(9)W/cm(2) is obtained. Our results indicate that dipole-quadrupole LICET process can be the effective way to transfer energy selectively from a storage state of arbitrary parity to a target state of arbitrary parity.
A laser induced quadrupoledipole collisional energy transfer system of CaSr is proposed and the four-state quadrupoledipole laser induced collisional energy transfer model is presented.The excitation spectrum calculated for the CaSr system is characterized by a doublet structure and a width which is about twice wider than the dipoledipole laser induced collisional energy transfer results.Calculating results show that the full width at half peak of the prole becomes larger and the quasi-static wing tends to be a broad at as the eld intensity increases, which are dierent from the reported results of dipoledipole laser induced collisional energy transfer processes, dipolequadrupole and quadrupolequadrupole.A cross-section of 2.48 × 10 -14 cm 2 at a laser eld intensity of 5.21 × 10 7 V/m is obtained which indicates that the quadrupoledipole process can be an eective way to transfer energy selectively.
Based on the four-state model of laser-induced collisional energy transfer,the cross section of the collisional energy transfer in the Sr-Ca system is obtained.Various factors,including field intensity,relative speed,and temperature,which influence the collisional cross section,are discussed for illustrating the features of the Sr-Ca laser-induced collisional energy transfer(LICET) process.The calculated results show that the LICET spectral profiles obviously become narrower when the laser field intensity increases.The collision cross section rises with laser intensity and tends to saturate.In the vicinity of the spectral profile center,the cross section at fixed laser detuning becomes smaller as the relative speed and system temperature increase.The results indicate that the intermediate states strongly affect the spectral profile of LICET.
A four-state model considering the relative velocity distribution function for calculating the cross section of laser-induced collisional energy transfer in a Sr—Li system is presented and profiles of laser-induced collision cross section are obtained. The resulting spectra obtained from different intermediate states are strongly asymmetrical in an opposite asymmetry. Both of the two intermediate states have contributions to the final state, and none of the intermediate states should be neglected. The peak of the laser-induced collisional energy transfer (LICET) profile shifts toward the red and the FWHM becomes narrower obviously with laser field intensity increasing. A cross section of 1.2 × 10−12 cm2 at a laser field intensity of 2.17 × 107 V/m is obtained, which indicates that this collision process can be an effective way to transfer energy selectively from a storage state to a target state. The existence of saturation for cross section with the increase of the laser intensity shows that the high-intensity redistribution of transition probabilities is an important feature of this process, which is not accounted for in a two-state treatment.