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Optics Letters

Laser transition characterization by spectral and thermal dependences of the transient oscillations

Oleg G. Okhotnikov, José R. Salcedo

Published Sep 15, 1994• 14 citations
Publisher

Abstract

Spectroscopic measurements on (4)F(3/2) - (4)I(11/2) and (4)F(3/2) - (4)I(9/2) transitions for a Nd(3+)-doped fiber laser demonstrated that the wavelength dependence of the relaxation oscillations provides a simple method to distinguish threeand four-level transition. Spectral analysis of relaxation oscillations in a tunable Er(3+)-doped fiber laser was performed at liquid-nitrogen temperature, and results were compared with measurements at room temperature. It was found that the relaxation oscillation frequency depends on the occupation of the terminal level and thus is directly related to the absorption cross section. Using this method, we show that laser transitions at lambda > 1555 nm become four-level at T = 77K.

DOI
10.1364/ol.19.001445

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Spectroscopic measurements on (4)F(3/2) - (4)I(11/2) and (4)F(3/2) - (4)I(9/2) transitions for a Nd(3+)-doped fiber laser demonstrated that the wavelength dependence of the relaxation oscillations provides a simple method to distinguish threeand four-level transition. Spectral analysis of relaxation oscillations in a tunable Er(3+)-doped fiber laser was performed at liquid-nitrogen temperature, and results were compared with measurements at room temperature. It was found that the relaxation oscillation frequency depends on the occupation of the terminal level and thus is directly related to the absorption cross section. Using this method, we show that laser transitions at lambda > 1555 nm become four-level at T = 77K.
We performed spectroscopic measurements of the relaxation oscillations in a tunable Nd3+-doped fiber laser for the four-level (4F3/2-4I11/2) and for the three-level (4F3/2-4I9/2) transitions. We observed that the relaxation oscillation frequency for the three-level transition exhibited a strong wavelength dependence; in contrast, the relaxation oscillation frequency for the four-level transition did not exhibit any wavelength dependence. A simple theory to explain this remarkable feature was developed, confirming that the wavelength dependence is related to the thermal laser level population, which is significant in three-level systems but negligible in four-level systems. This should be taken into account for a careful description of laser systems, and is also instrumental for predicting oscillator or amplifier performance.
The inhomogeneous behavior of the 1.06 /spl mu/m-neodymium transitions in doped optical fibers have been investigated, using the fluorescence line narrowing technique, pumping on the /sup 4/F/sub 3/2/ and /sup 4/F/sub 5/2/ sublevels at 4 K. Each observed transition has been identified. As the pump wavelength varies, the shift of the main fluorescence line is 40 nm, with the two pumping levels. We have studied the spectral behavior of the superfluorescence as a function of the pump wavelength, the temperature, and the absorbed power. The spectral evolution depends on /spl lambda//sub p/ with 19 nm-tuning range at low temperature. At 300 K, the quasihomogeneous behavior of the transition decreases the tunability to 14 nm. Based on these results, we present a simple technique permitting precise prediction of gain and spectral line shapes of superfluorescent Nd-doped fiber sources.>
A study of the complex atomic susceptibility of erbium-doped fiber amplifiers operating near the 1.53- mu m transition (/sup 4/I/sub 13/2/-/sup 4/I/sub 15/2/) developed from a semiclassical theoretical description is presented. Expressions for the emission cross section sigma /sub e/( lambda ) and absorption cross section sigma /sub a/( lambda ) of erbium:glass as a quasi-three-level laser system with Stark-split sublevel manifolds are derived. The results are used to calculate the cross sections of aluminosilicate erbium-doped fibers at low temperatures (T=4.2, 77 K) and at room temperature. It is demonstrated that an expression for the gain coefficient of the fiber amplifier can be derived from the expression of the susceptibility. Using Kramers-Kronig relations, an expression for the refractive index change in the fiber is derived. The theoretical spectral gain profile of the fiber amplifier and concurrent refractive index changes are analyzed for different pumping regimes.>