We have performed a photon echo modulation measurement of the $^{1}D_{2}\ensuremath{-}^{3}H_{4}$ levels of ${\mathrm{Pr}}^{3+}$ : La ${\mathrm{F}}_{3}$ . This time-domain method yields a precise determination of the $^{1}D_{2}$ excited-state hyperfine splittings and linewidths. New information on the relative orientation of the principal axes of the excited- and ground-state hyperfine Hamiltonians is presented.We have performed a photon echo modulation measurement of the $^{1}D_{2}\ensuremath{-}^{3}H_{4}$ levels of ${\mathrm{Pr}}^{3+}$: La${\mathrm{F}}_{3}$. This time-domain method yields a precise determination of the $^{1}D_{2}$ excited-state hyperfine splittings and linewidths. New information on the relative orientation of the principal axes of the excited- and ground-state hyperfine Hamiltonians is presented.

Physical review. B, Condensed matterOct 1, 198226 citations

Stimulated photon echo modulation in praseodymium-doped crystals

P. Talagala, M. K. Kim, Ravinder Kachru

When the intensity of photon echo in a two-level system is measured as a function of delay time of the two input pulses, one obtains a simple exponential decay with the characteristic phase relaxation time. When the two levels contain hyperfine structures, the interference among the hyperfine levels gives rise to modulation of the decay envelope. The Fourier transform of the modulation pattern reveals the hyperfine structure of the rare-earth ions. The hyperfine structure, and therefore the modulation pattern, are both sensitively affected by the crystal environment of the ionic site. We extend photon-echo modulation spectroscopy to three-pulse, stimulated photon-echo modulation, and we find that the stimulated echo modulation patterns are quite distinct from the two-pulse, photon-echo case and are affected by a different set of atomic and crystal interaction parameters. The modulation is measured, in several photon-echo transitions of praseodymium ions in lanthanum trifluoride and yttrium aluminum garnet crystals, as functions of delay times between first and second pulses and between first and third pulses. Comparison of the experimental results with density-matrix calculations allows us to determine hyperfine parameters that are not easily observed with two-pulse echo modulation.When the intensity of photon echo in a two-level system is measured as a function of delay time of the two input pulses, one obtains a simple exponential decay with the characteristic phase relaxation time. When the two levels contain hyperfine structures, the interference among the hyperfine levels gives rise to modulation of the decay envelope. The Fourier transform of the modulation pattern reveals the hyperfine structure of the rare-earth ions. The hyperfine structure, and therefore the modulation pattern, are both sensitively affected by the crystal environment of the ionic site. We extend photon-echo modulation spectroscopy to three-pulse, stimulated photon-echo modulation, and we find that the stimulated echo modulation patterns are quite distinct from the two-pulse, photon-echo case and are affected by a different set of atomic and crystal interaction parameters. The modulation is measured, in several photon-echo transitions of praseodymium ions in lanthanum trifluoride and yttrium aluminum garnet crystals, as functions of delay times between first and second pulses and between first and third pulses. Comparison of the experimental results with density-matrix calculations allows us to determine hyperfine parameters that are not easily observed with two-pulse echo modulation.

Annual Meeting Optical Society of AmericaJan 1, 19900 citations

Photon Echo and Coherent Spectroscopy

Vitali V. Samartsev

SPIE eBooksSep 1, 19970 citations

We have performed a photon echo modulation measurement of the $^{1}D_{2}\ensuremath{-}^{3}H_{4}$ levels of

{\mathrm{Pr}}^{3+}

: La

{\mathrm{F}}_{3}

. This time-domain method yields a precise determination of the

^{1}D_{2}

excited-state hyperfine splittings and linewidths. New information on the relative orientation of the principal axes of the excited- and ground-state hyperfine Hamiltonians is presented.