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Journal of the Physical Society of Japan

The Indirect Determination of the Cross Section of Stimulated Emission of the F Center in KCl

Hiromasa Hanzawa, Yuzo Mori, Hiroshi Ohkura

Published Dec 15, 1988• 1 citation
Publisher

Abstract

The intensity of the F center emission in KCl is reduced by simultaneous irradiation of 1.06 µm pulse from an Nd:YAG laser, whose second harmonic pulse is used for the F excitation. The reduction is related to the stimulated emission in the relaxed excited state of the F center. The cross section of the stimulated emission is estimated to be 4.0×10 -17 cm 2 at 80K.

DOI
10.1143/jpsj.57.4434

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Physical Review A•Jun 1, 1975•12 citations
The intensity of the F center emission in KCl is reduced by simultaneous irradiation of 1.06 µm pulse from an Nd:YAG laser, whose second harmonic pulse is used for the F excitation. The reduction is related to the stimulated emission in the relaxed excited state of the F center. The cross section of the stimulated emission is estimated to be 4.0×10 -17 cm 2 at 80K.
If O 2 ` − centers in KCl are excited in their fundamental absorption band (at about 250 nm), they yield a fluorescnece spectrum which at low temperatures is dominated by a progression of very narrow zero-phonon lines (Δν1/2≈1cm−1) with a large Stokes shift (roughly 23000 cm−1 or 2.9 eV). At very high excitation intensities (≳ 20 GW/cm2) with single pulses of the fourth harmonic of a modelocked Nd-YAG laser (λ = 266 nm, pulse duration 30 ps, pulse energy ~ 100 μJ) and at low temepratures (T < 30 K) one observes a simultaneous coherent emission at the wavelength of two of the zero-phonon lines (0-10 and 0-11 transition at 594.77 and 629.14 nm, respectively) /1/, which can be identified as two-color superfluorescence fron a three-level system /2,3/.
An analysis is made of the problem of kinetics of the superradiance decay in the case of nonlinear quenching of excited centers in four-level active media. A method is proposed for estimating the initial axial gain and of the stimulated emission cross sections of active media: it is based on a simultaneous analysis of the normalized superradiant flux and integrated population of the active medium. The proposed method is not sensitive to nonlinear quenching. A qualitative analysis is made of the decay of excitation in neodymium pentaphosphate crystals after pulsed excitation with laser radiation of the 0.538 μ wavelength and stimulated emission cross sections are estimated for the 4 F 3/2 → 4 I 11/2 transition in Nd 3+ resulting in lasing at 1.051 μ and at some other wavelengths of this transition.
Single crystals of KCl containing $\mathrm{O}_{2}^{}{}_{}{}^{\ensuremath{-}}$ centers (8\ifmmode\times\else\texttimes\fi{}1016{10}^{16}1016-7\ifmmode\times\else\texttimes\fi{}1017{10}^{17}1017 ${\mathrm{cm}}^{\ensuremath{-}3}$) were excited at low temperatures (T<30T<30T<30 K) using frequency-quadrupled single pulses of a mode-locked Nd-doped yttrium aluminum garnet laser. At excitation intensities above 20 GW/cm2{\mathrm{cm}}^{2}cm2 a spontaneous emission of coherent light was observed which could be identified as Dicke superfluorescence. This superfluorescence was observed on two of the zero-phonon lines in the vibrational progression of the $\mathrm{O}_{2}^{}{}_{}{}^{\ensuremath{-}}$ fluorescence spectrum (0-10 and 0-11 at 592.8 and 629.1 nm, respectively). We have studied the time dependence, the statistics of the delay times, and the intensities. The observed delay times vary between 0.5 and 10 ns, the observed pulse widths between 0.5 and 6 ns, and the coherence time was found to be longer than 100 ps. The observed linewidths of the superfluorescence ($0.016\mathrm{nm}\ensuremath{\cong}14\mathrm{GHz}$) is a factor of 2.5 smaller than that of the spontaneous fluorescence (0.042 nm at 4.2 K). The superfluorescence is observed only below a critical temperature which depends on the $\mathrm{O}_{2}^{}{}_{}{}^{\ensuremath{-}}$ concentration (8 to 28 K for concentrations between 8\ifmmode\times\else\texttimes\fi{}1016{10}^{16}1016 and 7\ifmmode\times\else\texttimes\fi{}1017{10}^{17}1017 ${\mathrm{cm}}^{\ensuremath{-}3}$).
A K-N2(or He)mixture is irradiated in a fluorescence cell with pulses of 770nm radiation from OPO-YAG laser and populated K(4P1/2)state.Cross sections for K(4P1/2)→K(4P3/2)and quenching of the K(4P3/2)state is determined using the atomic fluorescence spectrometry.With the variable densities of N2(or He),the intensities of time-integrated fluorescence from 4P1/2→4S1/2(the direct fluorescence)and 4P3/2→4S1/2(the transfer fluorescence)is measured.The ratio of the fluorescence intensity versus the densities of N2(or He)can be fitted by a straight line,the cross sections are(2.77±0.69)×10-15cm2and(1.62±0.41)×10-15cm2 for K(4P1/2)→ K(4P3/2)by the slop,and the cross sections are(0.40±0.12)×10-15cm2and(0.60±0.18)×10-16cm2 for the K(4PJ)quenching from the intercept.
Three-photon absorption spectroscopy allows determination of the nf2F52,720\mathrm{nf}^{2}F_{\frac{5}{2},\frac{7}{2}}^{0}nf2F25​,27​0​ energy levels of alkali metals ($\ensuremath{\Delta}L=+3$). The 3d2D32,523d^{2}D_{\frac{3}{2},\frac{5}{2}}3d2D23​,25​​ levels of KI were selectively excited using a narrow-band dye laser. The $3d^{2}D_{\frac{3}{2},\frac{5}{2}}\ensuremath{\rightarrow}\mathrm{nf}^{2}F_{\frac{5}{2},\frac{7}{2}}^{0}$ absorption lines were observed in the background spectrum of another dye laser, and the nf2F52,720\mathrm{nf}^{2}F_{\frac{5}{2},\frac{7}{2}}^{0}nf2F25​,27​0​ energy levels were deduced, from n=10n=10n=10 to n=14n=14n=14 inclusive, with an accuracy better than 0.1 ${\mathrm{cm}}^{\ensuremath{-}1}$. Previously, an experiment was performed for the 7f2F52,7207f^{2}F_{\frac{5}{2},\frac{7}{2}}^{0}7f2F25​,27​0​ levels in order to verify the method. Shifts and systematic errors were entirely negligible. For all lines, the relative intensities of the absorbed doublet peaks are in good agreement with the estimates of the $4s^{2}S_{\frac{1}{2}}\ensuremath{\rightarrow}3d^{2}D_{\frac{3}{2},\frac{5}{2}}$ probabilities.