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Journal of the Physical Society of Japan

Absorption Spectrum of Optically Pumped Ruby I. Experimental Studies of Spectrum in Excited States

Takashi Kushida

Published Jul 1, 1966• 52 citations
Publisher

Abstract

Absorption transitions between two excited optical states in ruby have been studied by comparing the absorption coefficients measured under optically pumped and unpumped conditions. The spectrum has been determined in the π-and σ-polarizations in the photon energy range from 5,500 to 45,000 cm -1 . Several absorption bands have been found which arise from the transitions from the excited states t 2g 3 2 E g and t 2g 3 2 T 1g of the Cr 3+ ion. From the locations and intensities of these bands, the terminal states of the observed transitions are assigned to the charge transfer state, the t 2g 3 2 T 2g state, and the doublet states belonging to the electron configuration t 2g 3 e g . Calculated energies between these states and the metastable states, t 2g 3 2 E g and t 2g 3 2 T 1g , are in good agreement with the peak energies of the observed absorption bands. The present experiment gives new information inaccessible by the ordinary ground state absorption measurement, such as the locations of several doublet states with the configuration t 2g 2 e g and the intensities of doublet-doublet transitions in ruby.

DOI
10.1143/jpsj.21.1331

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An investigation was made of the absorption spectrum of Cr 3+ ions in the ground ( 4 A 2 ) and metastable ( 2 E) states, and of the luminescence spectrum of the same ions in Y 3 Al 5 O 12 crystals at 300 and 77°K. The effective absorption cross sections were determined for the 4 A 2 state. The luminescence deexcitation time was found to be 1.5 and 9 msec at 300 and 77°K, respectively. The absorption spectrum of the 2 E state had four wide absorption bands with maxima at 16,700, 23,300, 28,600, and 40,500 cm –1 . The theoretical energy level scheme of Cr 3+ was calculated for Dq = 1725 cm –1 , G = 640 cm –1 , C = 3200 cm –1 , v = 495 cm –1 , and v' = 259 cm –1 , making an allowance for the mixing of the Γ trig S states. The experimentally observed absorption bands were attributed to specific transitions and the theoretical and experimental intensities were compared.

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Verification of the Kramers–Kronig relations in optically pumped ruby

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The real and imaginary parts of the complex index of refraction have been measured in the R1 line of optically pumped ruby. The experiments, which employed a temperature-controlled, single-mode ruby laser as a variable-frequency monochromatic source, were performed near liquid-nitrogen temperature, where the R1 doublet structure is well resolved. R1 absorption profiles were measured for several optical-pumping conditions, ranging from zero up to a pump power that excited a population in the 2E state equal to about 60% of the population of the 4A2 ground state. For each pumping condition, the anomalous-dispersion curve was measured interferometrically. The spectral profiles of the absorption coefficient and the anomalous dispersion display a dependence on the optical-pumping conditions that is more complicated than simple saturation of the R1 transitions, but for given pumping conditions the two quantities are correlated as predicted by the Kramers–Kronig relations.

Journal of the Optical Society of America•Jul 1, 1973•2 citations
Absorption transitions between two excited optical states in ruby have been studied by comparing the absorption coefficients measured under optically pumped and unpumped conditions. The spectrum has been determined in the π-and σ-polarizations in the photon energy range from 5,500 to 45,000 cm -1 . Several absorption bands have been found which arise from the transitions from the excited states t 2g 3 2 E g and t 2g 3 2 T 1g of the Cr 3+ ion. From the locations and intensities of these bands, the terminal states of the observed transitions are assigned to the charge transfer state, the t 2g 3 2 T 2g state, and the doublet states belonging to the electron configuration t 2g 3 e g . Calculated energies between these states and the metastable states, t 2g 3 2 E g and t 2g 3 2 T 1g , are in good agreement with the peak energies of the observed absorption bands. The present experiment gives new information inaccessible by the ordinary ground state absorption measurement, such as the locations of several doublet states with the configuration t 2g 2 e g and the intensities of doublet-doublet transitions in ruby.
Several experiments on optically excited ruby are described. First, absorption transitions initiated from the metastable states,t\min{2}\max{3}2Eandt\min{2}\max{3}2T1, are investigated in the photon energy range from 5500 to 45 000 cm-1. The absorption spectrum of these excited states is determined in both\pi-and σ-polarizations and assignments for the observed absorption bands are achieved. Obtained results are compared with other experiments reported in the literature. Next, emission properties of pink ruby are studied in the region near theRlines. The emission spectrum is determined point by point by means of intense flash excitation. The observed weak bands are ascribed to theR'and phonon assistedRtransitions. Laser actions in these bands are discussed and experimental results on phonon terminated laser amplification are presented. An experiment using a giant pulse as an excitation source reveals that the transition time fromt\min{2}\max{3}2Etot\min{2}\max{3}2T1is shorter than a fraction of 1μs at room temperature.
The optical spectrum due to the exchange coupled Cr 3+ ions in ruby has been studied theoretically. The effect of the lowering of the Cr 3+ site symmetry due to the formation of a pair was taken into account. For the 2nd neighbor pair, a good fitting of the excited state energies between theory and experiment was obtained. The effect of the higher order exchange is found to be very important for this pair. It is also found that the deviation of the Cr 3+ site symmetry from C 3 is rather large for this pair. For the 4th neighbor pair, the level diagram of the excited state was obtained and the absorption intensities were calculated. Most of the observed lines in this pair are explained by this theory. The lines so called N 1 and N 2 are found to be the transitions due to the exchange induced electric dipole.
Two new sharp absorption systems have been observed in the excited-state electronic spectrum of ruby. Both systems originate from the lowest spin doublet state of chromium ion 2E^{2}E2E and are found at 15 006 and 27 465 ${\mathrm{cm}}^{\ensuremath{-}1}$ above the originating level. Both of the sharp systems are completely polarized perpendicular to the principal optic axis.
The absorption cross sections of the Cr3+{\mathrm{Cr}}^{3+}Cr3+ ion in the metastable states 2E(E‾and2A‾)^{2}E (\overline{E} \mathrm{and} 2\overline{A})2E(Eand2A) of lightly doped ruby (\ensuremath{\sim}0.01%) have been measured as a function of polarization at temperatures of 30, 105, and 296\ifmmode^\circ\else\textdegree\fi{}K in the region from 2300 to 7000 \AA{}. The lifetime of these states was measured by observing the decay rate of the excited-state absorption, and agreed with the value of the measured fluorescence decay rate at various temperatures. The population of the excited states was measured by the change of the area under the first two vibronic sidebands at low temperatures. At room temperature the population was measured by the change of transmitted intensity of a ruby laser.
An investigation was made of the absorption spectrum of Cr 3+ ions in the ground ( 4 A 2 ) and metastable ( 2 E) states, and of the luminescence spectrum of the same ions in Y 3 Al 5 O 12 crystals at 300 and 77°K. The effective absorption cross sections were determined for the 4 A 2 state. The luminescence deexcitation time was found to be 1.5 and 9 msec at 300 and 77°K, respectively. The absorption spectrum of the 2 E state had four wide absorption bands with maxima at 16,700, 23,300, 28,600, and 40,500 cm –1 . The theoretical energy level scheme of Cr 3+ was calculated for Dq = 1725 cm –1 , G = 640 cm –1 , C = 3200 cm –1 , v = 495 cm –1 , and v' = 259 cm –1 , making an allowance for the mixing of the Γ trig S states. The experimentally observed absorption bands were attributed to specific transitions and the theoretical and experimental intensities were compared.
The real and imaginary parts of the complex index of refraction have been measured in the R1 line of optically pumped ruby. The experiments, which employed a temperature-controlled, single-mode ruby laser as a variable-frequency monochromatic source, were performed near liquid-nitrogen temperature, where the R1 doublet structure is well resolved. R1 absorption profiles were measured for several optical-pumping conditions, ranging from zero up to a pump power that excited a population in the 2E state equal to about 60% of the population of the 4A2 ground state. For each pumping condition, the anomalous-dispersion curve was measured interferometrically. The spectral profiles of the absorption coefficient and the anomalous dispersion display a dependence on the optical-pumping conditions that is more complicated than simple saturation of the R1 transitions, but for given pumping conditions the two quantities are correlated as predicted by the Kramers–Kronig relations.