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Japanese Journal of Applied Physics

Optical Bistability of the Negative Nonlinear Absorption Effect in Erbium-Doped Fibers Using a 1.5 µm Laser Diode

Yoshinobu Maeda

Published Jun 1, 2000• 0 citations
Publisher

Abstract

Optical bistability derived from the negative nonlinear absorption effect was investigated in 470 ppm erbium-doped fibers using a 1.5 µm laser diode. Optical bistability was observed in a laser intensity range of 0.3 W/cm2 to 2.5 kW/cm2 at a fiber length of 6 m. The transmitted laser intensity (I out), propagating through the fiber, decreased exponentially in accordance with the well-known exponential law. However, the amplitude of the optical bistability (ΔI out) increased logarithmically as the fiber length was increased. It was clarified that ΔI out was proportional to the product of exp (-L) and log (L) as a function of the fiber length (L). The optical bistability can be explained by considering an enhanced absorption model for a four-level system of the Er3+ ion.

DOI
10.1143/jjap.39.3438

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Japanese Journal of Applied Physics•May 1, 1992•3 citations
Optical bistability derived from the negative nonlinear absorption effect was investigated in 470 ppm erbium-doped fibers using a 1.5 µm laser diode. Optical bistability was observed in a laser intensity range of 0.3 W/cm2 to 2.5 kW/cm2 at a fiber length of 6 m. The transmitted laser intensity (I out), propagating through the fiber, decreased exponentially in accordance with the well-known exponential law. However, the amplitude of the optical bistability (ΔI out) increased logarithmically as the fiber length was increased. It was clarified that ΔI out was proportional to the product of exp (-L) and log (L) as a function of the fiber length (L). The optical bistability can be explained by considering an enhanced absorption model for a four-level system of the Er3+ ion.
The dependence of the negative nonlinear absorption effect at 1.5μm on the sample temperature, the modulation frequency and the sample length were investigated in glasses containing amounts higher than 20mol% Er3+. Reversed-phase waveforms were observed in the temperature range -260-600°C and at modulation frequencies from 1kHz to 10GHz in an erbium-doped phosphate glass. With increasing temperature, the amplitude of the reversed-phase waveforms decreases exponentially according to two separate steps. Optical bistability in the transmitted laser was observed in the range of incident laser intensity of 30μW/cm2-2.4mW/cm2. The transmitted laser intensity propagating through the glass decreased exponentially according to the well-known exponential law. However, the amplitude of the optical bistability increased logarithmically as the sample length was increased. The negative nonlinear absorption effect can be explained by considering an enhanced absorption model for a four-level system of the Er3+ ion.
Modulation characteristics of a negative nonlinear absorption effect were investigated in 3 wt % erbium-doped lithium niobate using a 1530 nm laser diode. With a decreasing incident modulation degree, a reversed-phase waveform was obtained in the transmitted laser at modulation degrees smaller than 85% for a sample length of 14 mm. The reversed-phase transmitted waveforms were observed at modulation frequencies from 1 kHz to 10 GHz. The negative nonlinear absorption effect for 1.5 μm can be explained by considering an enhanced absorption model for a four-level system of the Er3+ ion.
An all-optical switch which has a negative amplification of the optical signal was demonstrated in an erbium-doped fiber. The dependence of the negative nonlinear absorption effect on the modulation degree of the incident laser was investigated and we obtained the negative amplification degree of -3 for a fiber length of 6 m at room temperature. It has been confirmed that the mechanism of the effect can be explained by calculating the rate equations based on an analytical model for a five-level system of the Er3+ ion. It is suggested that the effect was due to stimulated emission from the 4 S 3/2 level to the 4 I 13/2 level.
An all-optical inverter derived from the negative nonlinear absorption effect was demonstrated in erbium–yttrium aluminum garnet crystals using 1.53 μm laser diode. The effect was obtained at wavelengths of 1532 to 1534 nm in absorption spectra corresponding to the transition from the I15/24 to the I13/24 levels in Er3+ for sample lengths greater than 1.0 mm. The reversed-phase transmitted wave forms were observed at modulation frequencies from 1 kHz to 1 GHz. The negative nonlinear absorption effect can be explained by considering an enhanced absorption model for a four-level system of the Er3+ ion.
Optical switch-off in which the constant signal light is suddenly decreased at 1.4 and 25.0 W/cm2 was demonstrated with an erbium-doped fiber using a single-wavelength control light. Discontinuous phenomena of optical switch-off have hysteresis and occur at a minimum or inflection point in the transmission curve. Negative intensity dependence, which causes the transmission to decrease as the laser intensity is increased, was observed at 787 nm, but not at 808 nm. Numerical analyses were carried out using a four-level double-absorption model. As a result, it was found that these phenomena take place because the absorption cross section from 4I13/2 to 2H11/2 is larger than that from 4I15/2 to 4I9/2.