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Physical Review A

Precision measurement of the oscillator strength of the cesium 6S1∕22→5D5∕22 electric quadrupole transition in propagating and evanescent wave fields

賢 東條, Takashi Fujimoto, Masahiro Hasuo

Published Jan 31, 2005• 29 citations
Publisher

Abstract

Hyperfine-structure-resolved absorption spectra of the $6\phantom{\rule{0.2em}{0ex}}^{2}S_{1∕2}\ensuremath{\rightarrow}5\phantom{\rule{0.2em}{0ex}}^{2}D_{5∕2}$ of cesium atoms have been observed with a temperature-controlled cell and a diode laser. From a comparison with the absorption of the ${D}_{2}$ transition at the same atom density range, the oscillator strength of the electric quadrupole transition was determined to be $(4.69\ifmmode\pm\else\textpm\fi{}0.05)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}7}$. Reflection spectra of the same transition have also been observed in the partial and total reflection regimes with a reflection cell. An increase in the apparent oscillator strength was observed for total reflection with an increase in the angle of incidence, by a factor up to 1.5 at ${\ensuremath{\theta}}_{c}+83.8\phantom{\rule{0.3em}{0ex}}\mathrm{mrad}$ and 2.4 at ${\ensuremath{\theta}}_{c}+107.5\phantom{\rule{0.3em}{0ex}}\mathrm{mrad}$ for $s$ and $p$ polarizations, respectively, where ${\ensuremath{\theta}}_{c}$ is the critical angle. The observed enhancement is ascribed to the incidence-angle-dependent wave vector and polarization vector of the evanescent wave.

DOI
10.1103/physreva.71.012507

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Hyperfine-structure-resolved absorption spectra of the 62S1∕2\ensuremath→52D5∕26\phantom{\rule{0.2em}{0ex}}^{2}S_{1∕2}\ensuremath{\rightarrow}5\phantom{\rule{0.2em}{0ex}}^{2}D_{5∕2}62S1∕2​\ensuremath→52D5∕2​ of cesium atoms have been observed with a temperature-controlled cell and a diode laser. From a comparison with the absorption of the D2{D}_{2}D2​ transition at the same atom density range, the oscillator strength of the electric quadrupole transition was determined to be (4.69\ifmmode±\else\textpm\fi0.05)\ifmmode×\else\texttimes\fi10\ensuremath−7(4.69\ifmmode\pm\else\textpm\fi{}0.05)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}7}(4.69\ifmmode±\else\textpm\fi0.05)\ifmmode×\else\texttimes\fi10\ensuremath−7. Reflection spectra of the same transition have also been observed in the partial and total reflection regimes with a reflection cell. An increase in the apparent oscillator strength was observed for total reflection with an increase in the angle of incidence, by a factor up to 1.5 at \ensuremathθc+83.8mrad{\ensuremath{\theta}}_{c}+83.8\phantom{\rule{0.3em}{0ex}}\mathrm{mrad}\ensuremathθc​+83.8mrad and 2.4 at \ensuremathθc+107.5mrad{\ensuremath{\theta}}_{c}+107.5\phantom{\rule{0.3em}{0ex}}\mathrm{mrad}\ensuremathθc​+107.5mrad for sss and ppp polarizations, respectively, where \ensuremathθc{\ensuremath{\theta}}_{c}\ensuremathθc​ is the critical angle. The observed enhancement is ascribed to the incidence-angle-dependent wave vector and polarization vector of the evanescent wave.
We have observed for the first time reflection spectra of an electric quadrupole transition for the cesium atom ($6\text{ }^{2}S_{1/2}\mathrm{\text{\ensuremath{-}}}5\text{ }^{2}D_{5/2}$) line at an angle of incidence from ${\ensuremath{\theta}}_{c}\ensuremath{-}11.9$ to ${\ensuremath{\theta}}_{c}+107.5\text{ }\mathrm{m}\mathrm{r}\mathrm{a}\mathrm{d}$, where ${\ensuremath{\theta}}_{c}$ is the critical angle for total reflection. From a comparison with the calculated absorption in the attenuated total reflection, the oscillator strengths for sss and ppp polarizations were found to increase with an increase in the angle of incidence by a factor up to 1.5 at ${\ensuremath{\theta}}_{c}+83.8\text{ }\mathrm{m}\mathrm{r}\mathrm{a}\mathrm{d}$ and 2.4 at ${\ensuremath{\theta}}_{c}+107.5\text{ }\mathrm{m}\mathrm{r}\mathrm{a}\mathrm{d}$, respectively, in the experiment. The dependences of the observed enhancement on the angle of incidence were in good agreement with the calculated ones for the oscillator strength of the quadrupole transition in the evanescent light.
The absorption line strengths of electric-dipole-forbidden (magnetic dipole and electric quadrupole) transitions have been calculated in the evanescent light field that accompanies the total reflection of light. Owing to the complex wave and polarization vectors of the evanescent light, the apparent oscillator strength is enhanced from that in the propagating light and the enhancement for the electric quadrupole transition depends on the polarization vector of the incident light. Separation of the contribution from each component of the wave and polarization vectors is proposed with a magnetic-sublevel-resolved measurement for the $(s\text{\ensuremath{-}}d)$ electric quadrupole transition.
Various efforts have been made to determine the polarization state of evanescent waves in different structures. The present study shows the reliability of magneto-optical spectroscopy of D1 and D2 lines of rubidium metal and polarization-dependent transitions to investigate and trace the changes in the polarization state of evanescent fields during total internal reflection over different angles. For this purpose, we design and fabricate atomic- evanescent Rb vapor cells and examine the effect of polarization changes of evanescent waves, depending on the propagation direction of evanescent waves in anisotropic rubidium vapor media under 88 mT external magnetic field by different configurations theoretically and experimentally. The results confirm the dependency of allowed [Formula: see text] transitions on the magneto optical configuration as a tool to determine changes in the polarization of evanescent waves in more complicated wave states in anisotropic media.
We report measurements of photoelectron angular distributions via electric quadrupole transitions in cesium atoms using multiphoton excitation techniques. Experimental results are presented for the cases of one-photon resonant, two-photon ionization via the 6d 2{\mathrm{}}^{2}2D3/2{D}_{3/2}D3/2​ and 6d 2{\mathrm{}}^{2}2D5/2{D}_{5/2}D5/2​ electric quadrupole transitions and for one-photon resonant, three-photon ionization via the 5d 2{\mathrm{}}^{2}2 D3/2{\mathrm{D}}_{3/2}D3/2​ and 5d 2{\mathrm{}}^{2}2D5/2{D}_{5/2}D5/2​ transitions. The ratios of the total ionization rates for linearly and circularly polarized light have also been measured for the 6d 2{\mathrm{}}^{2}2D3/2{\mathrm{D}}_{3/2}D3/2​ and 6d 2{\mathrm{}}^{2}2D5/2{D}_{5/2}D5/2​ states. A theoretical analysis and detailed comparison with the experimental results are given.