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Journal of Applied Physics

Power Output Characteristics of a Ruby Laser

Malcolm L. Stitch

Published Oct 1, 1961• 16 citations
Publisher

Abstract

The theoretical power output of a ruby laser is examined under certain idealized operating conditions, and it is found that there are two principal regions of operation. These are the regions of strong oscillation characterized by the condition pτ2/A»hν13/σ13 and the region of saturation in which pτ3/A»hν13/σ13. Here p/A is the ``pumping'' illumination within the absorption band of ruby, τ2 is a charactersitic relaxation time of fluorescence in ruby, τ3 is a characteristic thermal relaxation time from the excited U band, ν13 is the pumping frequency, and σ13 is the cross section for interaction between pumping radiation and Cr3+ ions in ruby. Efficiency of operation is examined under two limiting conditions.

DOI
10.1063/1.1728277

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IEEE Journal of Quantum Electronics•Jun 1, 1965•1 citation
The theoretical power output of a ruby laser is examined under certain idealized operating conditions, and it is found that there are two principal regions of operation. These are the regions of strong oscillation characterized by the condition pτ2/A»hν13/σ13 and the region of saturation in which pτ3/A»hν13/σ13. Here p/A is the ``pumping'' illumination within the absorption band of ruby, τ2 is a charactersitic relaxation time of fluorescence in ruby, τ3 is a characteristic thermal relaxation time from the excited U band, ν13 is the pumping frequency, and σ13 is the cross section for interaction between pumping radiation and Cr3+ ions in ruby. Efficiency of operation is examined under two limiting conditions.
Optical absorption cross sections and the fluorescent quantum efficiency in ruby have been determined. This data has been used to correlate calculations with the analysis of the preceding paper. Stimulated emission from ruby under pulsed excitation has been studied in some detail; the observations are found to depend strongly on the perfection of the particular crystal under study. A peak power output of approximately 5 kw, total output energy of near 1 joule, beam collimation of less than ${10}^{\ensuremath{-}2}$ rad, and a spectral width of individual components in the output radiation of about 6\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}4}$A at 6943 A have been measured. It is suggested that mode instabilities due to temperature shifts and a time-varying magnetic field are contributing to an oscillatory behavior of the output pulse.
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.
Pulsed oscillation of a three-level ruby maser of which pumping microwave was modulated by pulse was investigated. The time lag t d of the oscillation pulse behind the pumping pulse was determined experimentally as a function of the peak level P of the pumping power, and the period T and the width τ of the pumping pulse. A semi-empirical formula t d =t 0(\frac{P_{c}}{P}) k exp [b(\frac{T}{\tau})1-δ\frac{P_{c}}{P}] was obtained. The minimum pulse width τ m required for the oscillation to occur was determined as a function of P and T, which was approximately expressed by τ m =c\frac{T^{m}}{P^{n}}. The above results were qualitatively interpreted in terms of excess population Δ n,
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.
Pulsed oscillation of a three-level ruby maser of which pumping microwave was modulated by pulse was investigated. The time lag td of the oscillation pulse behind the pumping pulse was determined experimentally as a function of the peak level P of the pumping power, and the period T and the width τ of the pumping pulse. A semi-empirical formula td=t0(\frac{P_{c}}{P})kexp [b(\frac{T}{\tau})1-δ\frac{P_{c}}{P}] was obtained. The minimum pulse width τm required for the oscillation to occur was determined as a function of P and T, which was approximately expressed by τm=c\frac{T^{m}}{P^{n}}. The above results were qualitatively interpreted in terms of excess population Δn,
Ruby exhibits the Zeeman effect in the energy levels responsible for the absorption of the R1line. When a ruby laser is directed to pass through a section of unexcited ruby rod, the intensity of the transmitted beam is strongly dependent upon the magnetic field applied to the absorber. This effect was used to modulate the amplitude of a pulsed ruby laser in the microwave frequency region. The experimental modulator consisted of a 0.2- inch long ruby absorber located at one end of anS-band TE111mode cylindrical cavity pumped by a 3.2-Gc/s microwave source. A dc bias magnetic field was also applied to the absorber. When both the laser and the absorber rods were cooled to 80°K, the modulated beam attained maximum modulation index with a bias field of 2.5 kOe. This and other experimental results agree well with calculations made from theoretical analysis of this modulation technique, and indicate that the various known relaxation mechanisms in the spin system of ruby do not impose a frequency limit to this method of modulation.