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Multiphoton Ionization and Third Harmonic Generation in Alkali Atoms

R. N. Compton, Michael A. Duncan

Published Nov 27, 2024• 0 citations
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Abstract

Abstract Experiments involving resonantly enhanced multiphoton ionization (REMPI) of alkali atoms contained in a heat pipe are discussed with reference to the quantum defect theory modification of the hydrogen atom energy levels. Quantum defects for the ns and nd levels are extracted from the data. This experiment is an excellent introduction to atomic spectroscopy and the selection rules involved. Ionization potentials are extracted from the Rydberg spectra. In the second part of this chapter a Raman shifter is employed to produce IR photons for multiphoton excitation of the low-lying p states of cesium. Three-photon excitation also produces third harmonic generation. The use of heat pipes for the production of alkali metal atom vapor is discussed as well as the use of a simple pick-up wire for ion detection.

DOI
10.1093/oso/9780198900825.003.0016

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Physical Review A•Jun 1, 1988•21 citations
Abstract Experiments involving resonantly enhanced multiphoton ionization (REMPI) of alkali atoms contained in a heat pipe are discussed with reference to the quantum defect theory modification of the hydrogen atom energy levels. Quantum defects for the ns and nd levels are extracted from the data. This experiment is an excellent introduction to atomic spectroscopy and the selection rules involved. Ionization potentials are extracted from the Rydberg spectra. In the second part of this chapter a Raman shifter is employed to produce IR photons for multiphoton excitation of the low-lying p states of cesium. Three-photon excitation also produces third harmonic generation. The use of heat pipes for the production of alkali metal atom vapor is discussed as well as the use of a simple pick-up wire for ion detection.
Multiphoton ionization (MPI) of alkali atoms has played a pivotal role in our understanding of the interaction of intense electromagnetic radiation with matter. The "hydrogen-like" energy levels and absence of low-lying autoionizing states make the alkali atom theoretically tractable. The low ionization potential of these atomic species and the ease with which one can produce atomic beams of alkali atoms facilitate the experimental studies. Many of the early MPI studies involved high-powered fixed-frequency lasers. Presently, the availability of tunable dye lasers with wavelength extension (i.e., frequency doubling, Raman shifting, etc.) makes it possible to study one- to six-photon ionization of the alkali atom with continuously tunable radiation. Also, harmonic generation in these systems which may be present during ionization can be recorded more easily than in other systems since the radiation generated is in the visible or near ultraviolet spectral region. The ability to tune the laser to high Rydberg states with even or odd numbers of photons accesses electronic states of both parities. Stepwise excitation is capable of selectively producing states of high orbital angular momentum. Experiments in which highly excited states are produced in external electric or magnetic fields allow one to test fundamental ideas about the electron–Coulomb system in the quasi–continuum.3
Two investigations are reported on the application of resonantly enhanced multiphoton ionization (RMPI) to gaseous mixtures of an atomic vapor and a few Torr of argon. Photon fluxes large enough to ionize atoms by RMPI were produced by focussing down the light from a tunable pulsed dye laser. The irradiances generated were of the order of 500MWcm⁻². Ionization was detected by a voltage biased wire electrode that simply collected the photoelectrons either directly or after some gas multiplication. One investigation was the measurement of the dependence of RMPI processes in mercury on the polarization of the incident light for comparisons with theoretical calculations. The processes were four-photon resonant absorptions to either a ¹S₀ or ¹’³D₂ level followed by single photon ionization. Complete photoionization of all atoms excited to the resonant levels is established and the measured polarization dependences are found to agree with the calculated polarization dependence for the resonant excitation step of the RMPI process. Unexplained observations of the distortions in the polarization dependence of the ion yield and the absorption linewidth of the 6d ¹D₂ resonance are discussed. The second investigation was a study of the density dependent electric dipole forbidden two-photon resonant transition ²S → ²P in three-photon RMPI spectra of the Rydberg states of potassium. Stark interactions are shown to be unlikely and too weak. From the characteristics of the spectra, the excitation process is identified as a laser-assisted collision interaction.
The present paper applies the method of high-intensity quantum electrodynamics developed earlier to several problems of current experimental interest. In this paper the intensitydependent shifts and widths of atomic levels are calculated and applied to a given transition near resonance. The technique is demonstrated with three examples: the multiphoton ionization of atomic cesium and hydrogen in atomic beams and third-harmonic production in an atomic vapor. It is found that the multiphoton-ionization rate in a relatively weak laser beam (of order 108{10}^{8}108 W/cm2{\mathrm{cm}}^{2}cm2) is determined by the intensity-dependent level width (6f6f6f configuration) as well as the interference of the fine-structure states, and that the rates for hydrogen, in a much more intense beam (of order 1012{10}^{12}1012 W/cm2{\mathrm{cm}}^{2}cm2) are determined by both the intensity-dependent widths and shifts as‘\stackrel{\mathrm{`}}{\mathrm{s}}s‘ well as the wave-function renormalization constants. The agreement of these two examples of calculations with the experiments done recently is satisfactory. For third-harmonic production the role of two-photon resonance is emphasized, and the dependence of the generated third-harmonic intensity on the intensity and frequency of the fundamental is discussed. Near resonance, the ratio of third-harmonic intensity to fundamental intensity saturates.
The high-resolution rovibronic spectroscopies of cold and ultracold molecules (e.g. supersonic molecular beam excitation spectra (MB), photoassociation spectra of ultracold atoms (PA), resonance-enhanced multiphoton ionization spectra (REMPI), stimulated Raman transfer (SRT) spectra) are of major current interest. This manuscript summarizes the significant level of understanding of these various spectroscopies, enabled by using simple graphical and semiclassical ideas and shortcuts. Physical realizations of these spectroscopies will be illustrated using the alkali metal diatomic molecules, both homonuclear (e.g. Rb2) and heteronuclear (e.g. KRb).
In this paper we analyze two-photon-resonant three-photon ionization of atomic oxygen via the 2p3{\mathit{p}}^{3}p3(4{(}^{4}(4S\ifmmode^\circ\else\textdegree\fi{})np3{\mathit{np}}^{3}np3P0{\mathit{P}}_{0}P0​,1,2, and the 2p3{\mathit{p}}^{3}p3(4{(}^{4}(4S\ifmmode^\circ\else\textdegree\fi{})nf 3^{3}3F2{\mathit{F}}_{2}F2​,3,4 states. The various atomic parameters required for calculating the resonant enhanced multiphoton ionization (REMPI) probabilities are obtained using quantum-defect theory. The infinite sums over nonresonant states are truncated at a finite number of terms. Our calculated two-photon excitation cross sections agree well with the results of other recent calculations and of experimental measurements. The photoionization cross section is calculated for various electron kinetic energies. The REMPI dynamics is analyzed by solving the density-matrix equations. This framework consistently takes into account the effects of saturation and ac Stark shifts. REMPI probability is seen to be quite sensitive to the initial detuning, the intensity, and the particular resonant state accessed. The photoionization cross sections also imply that due to the rapid falloff of the cross section, two-color REMPI schemes with a lower-frequency ionizing photon would increase the effective REMPI probability.